The point A(-6,-5) is translated using T: (x,y) - (x + 4, y + 6).
What is the distance from A to A'?

Answers

Answer 1
Final answer:

The distance from point A to A' after translation is 2 sqrt(13).

Explanation:

The given points are A(-6,-5) and A' is obtained by translating A using the transformation T: (x,y) -> (x + 4, y + 6).

So the coordinates of A' are (-6 + 4, -5 + 6) which is (-2,1).

To find the distance from A to A', we can use the distance formula.

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of A and A' into the formula, we get Distance = sqrt((-2 - (-6))^2 + (1 - (-5))^2).

Calculating the distance, we get Distance = sqrt((4)^2 + (6)^2) = sqrt(16 + 36) = sqrt(52) = 2 sqrt(13).


Related Questions

Given the following absolute value function find the range.
f(x) = |x+5| - 8​

Answers

Answer:

{f ∈ R : f≥-8}

Step-by-step explanation:

The range is the output values

f(x) = |x+5| - 8​

The smallest value the absolute value part can take is 0

f (min) = 0-8

The largest value is infinity

f(max) = infinity -8 = infinity

The range is -8 to infinity

You put $280 in a one-year CD that will earn 4.5% a year, calculated semiannually. How much simple interest will you earn?

Answers

Answer:

25.77 dollars

Step-by-step explanation:

280 × .045 = y

y + 280 = z

z × .045 = c

z + c = d

d - c = the answer. $25.77

The point-slope form of the equation of the line that passes through (-4, -3) and (12,1) is y-1=1/4(×-12). What is the standard form of the equation for this line?

Answers

Answer:

x - 4y = 8

Step-by-step explanation:

We are given point slope form of the equation of the line that passes through the point [tex](-4, -3)[/tex] and [tex](12,1)[/tex] which is [tex]y-1=\frac{1}{4} (x-12)[/tex].

We are to write this equation in its standard form.

From the given equation, we know that the slope is [tex]\frac{1}{4}[/tex] so we will find the y intercept.

[tex]y=mx+c[/tex]

[tex]1=\frac{1}{4}\times (12) +c[/tex]

[tex]c=-2[/tex]

Substituting the given values and the y intercept in the standard form of equation.

[tex]y=mx+c[/tex]

[tex]y=\frac{1}{4} x-2[/tex]

Rearranging this to get:

x - 4y = 8

Answer:

x - 4y = 8.

Step-by-step explanation:

y - 1 = 1/4(x - 12)

y = 1/4x - 3 + 1

y = 1/4x - 2

1/4x - y - 2 = 0

1/4x - y = 2

Multiply through by 4:

x - 4y = 8 is standard form.

Simplify (Y^2+7y+6)/(6y^2-6)

Answers

Answer:

[tex]\frac{y + 6}{6(y - 1)} [/tex]

Step-by-step explanation:

The given expression is

[tex] \frac{ {y}^{2} + 7y + 6}{6 {y}^{2} - 6} [/tex]

The numerator is a quadratic trinomial and the denominator is different of two squares when 6 is factored.

We factor both the numerator and the denominator to obtain;

[tex] \frac{ (y + 6)(y + 1) }{6(y - 1)(y + 1)} [/tex]

Cancel out the common factors to get:

[tex] \frac{y + 6}{6(y - 1)} [/tex]

This is the simplest form since, we cannot simplify this further.

For this case we must simplify the following expression:

[tex]\frac {y ^ 2 + 7y + 6} {6y ^ 2-6}[/tex]

We factor the numerator, looking for two numbers that when multiplied by 6 and when added together give 7. These numbers are +6 and +1.

Then, rewriting the expression:

[tex]\frac {(y + 6) (y + 1)} {6 (y ^ 2-1)} =[/tex]

We rewrite the denominator:

[tex]\frac {(y + 6) (y + 1)} {6 (y + 1) (y-1)} =[/tex]

We simplify similar terms:

[tex]\frac {(y + 6)} {6 (y-1)}[/tex]

Answer:

[tex]\frac {(y + 6)} {6 (y-1)}[/tex]

When price increases, quantity supplied:
stays the same
decreases
increases
becomes zero

Answers

It should increase but I’m between stays the same or increase, I’m not sure in a 100% sorry...

Help me on this math question

Answers

Answer:

Step-by-step explanation:

The smallest number is 0.6. A fractional amount is always less that a whole number.

6.0 is the next smallest amount in some form. 6.009 The 0.009 is very tiny compared to the other numbers

then comes 6.08 That has only 2 decimal places, but those two places are bigger than 6.009

0.009 has 3 decimal places.

========

Finally 6.24 is larger than anything else. The 2 is in the tenths place.

On a piece of paper, graph y+2>-3x - 3. Then determine which answer
choice matches the graph you drew.

Answers

Answer:

D.

Step-by-step explanation:

【Look at the image】

Answer:

option D

Step-by-step explanation:

[tex]y+2>-3x - 3[/tex]

Subtract 2 from both sides and solve for y

[tex]y>-3x - 5[/tex]

Now graph it using a table

Replace > symbol by == sign

[tex]y=-3x - 5[/tex]

make a table

x        y=-3x-5

0        -5

-1         -2

-2        1

Graph the points (0,-5) and (-2,1)

WE have only > symbol so we use dotted line

For shading we use test point (0,0)

[tex]y>-3x - 5[/tex]

Plug in 0 for x and 0 for y

[tex]0>-3(0) - 5[/tex]

0>-5  True

So we shade the region that contains (0,0)

option D is correct

Write an expression that gives the area of the shaded region in the figure.

Answers

Answer:

The mathematical expression is : (15 - 4) x (14 - 6) square feet.

The evaluation of this expression gives 88 sq ft.

Step-by-step explanation:

The length of the shaded region is (15 - 4) feet

The width of the shaded region is (14 - 6) feet

hence the expression for area is

(15 - 4) x (14 - 6) square feet.

fyi, if you work this out, you will get

(15 - 4) x (14 - 6)

=11 x 8

= 88 square feet.

Answer:

(15 ft - 4 ft) * (14 ft - 6 ft)

Step-by-step explanation:

The shaded area is a rectangle.

area of rectangle = length * width

Length of outer rectangle = 15 ft

Length of shaded rectangle = 15 ft - 4 ft

Width of outer rectangle = 14 ft

Width of shaded rectangle = 14 ft - 6 ft

Area of shaded rectangle = length * width = (15 ft - 4 ft) * (14 ft - 6 ft)

A teacher needs to choose seven students to hand out papers. The total number of ways he may choose the students can be found using a combination

Answers

It may be 2 students

Answer:

True

Step-by-step explanation:

Apex

Janice ran mile. She walked mile. How far did she run and walk?​

Answers

Answer:

two miles

Step-by-step explanation:

Answer:

if she ran one mile....and walked one mike.....that makes...2 miles altogether

Step-by-step explanation:

1 +1=2

Regular hexagon FGHIJK shares a common center with square ABCD on a coordinate plane. || . Across which lines can the combined figure reflect onto itself? A. any of the perpendicular bisectors of the sides of the hexagon B. either diagonal of the square C. any of the perpendicular bisectors of the sides of the square D. there are no lines across which this figure can reflect onto itself

Answers

Answer:

(C) Any of the perpendicular bisectors of the sides of the square

Step-by-step explanation:

In Regular Hexagon FGHIJK, we have 6 line of reflection across which the hexagon reflects onto itself. Those lines are:

3 perpendicular bisectors of sides i.e. perpendicular bisector of IJ , IH and GH

3 lines passing through vertices i.e. HK, IF and GJ.

While in Square, we have 4 line of reflection across which the square reflects onto itself. Those lines are:

2 perpendicular bisectors of sides AB and BC i.e. HK and perpendicular bisector of CD

2 digonals of square i.e. AC and BD

Also from figure we know that perpendicular bisector of CD and perpendicular bisector of IJ is the same line.

So, for combined figure we have to take common lines from both figures i.e. perpendicular of sides CD or IJ and line HK.

Answer:

Answer C

Step-by-step explanation:

Edmentum

Hook me up with a 5 star and a Thanks


Noa buys 6 items that each cost $4.25 and 3 items that each cost $6.75. How much does Noa spend in total?
A$20.25
B$25.50
C$38.25
D$45.75

Answers

Answer:

Answer is D - $45.75

Step-by-step explanation:

(6 x $4.25) + (3 x $6.75) = $45.75

Answer:

    D) $45.75

Step-by-step explanation:

Step One: Multiply 6 times 4.25 and get 25.5

Step Two: Multiply 3 times 6.75 and get 20.25

Step Three:  Add both answers together: 25.5 + 20.25 and get 45.75 which is your answer.

segment SW is the diameter of circle C. Point S is located at (6,-1) and point W is located at (10,-7). What are the coordinates of the center of this circle?

A. (8, -3)
B. (7, -5)
C. (9, -3)
D. (8, -4)

Answers

D. (8, -4)

Since SW is the diameter of the circle, the center of the circle should be right in the center of that line. You simply have to find the midpoint of the line

Midpoint formula:

[ (x1+x2)/2 , (y1+y2)/2 ]

After substituting numbers:

[ (6+10)/2 , (-1-7)/2 ]
[ 16/2 , -8/2 ]
=(8, -4)

~~hope this helps~~

Solve for x given the equation Vx+9 -4=1. Extraneous or not

Answers

Answer:

x=-4/V

Step-by-step explanation:

Add 4 to both sides to cancel out the 4.

So it now the equation is Vx+9=5

Subtract 9 from both sides to cancel out the 9.

Now the equation is Vx=-4

Divide V to both sides to get x alone.

The answer being x=-4/V

For this case we must find the value of "x" of the following equation:

[tex]\sqrt {x + 9} -4 = 1[/tex]

We add 4 to both sides of the equation:

[tex]\sqrt {x + 9} = 4 + 1\\\sqrt {x + 9} = 5[/tex]

We raise both sides of the equation to the square to eliminate the radical:

[tex]x + 9 = 5 ^ 2\\x + 9 = 25[/tex]

We subtract 9 from both sides of the equation:

[tex]x = 25-9\\x = 16[/tex]

Answer:

[tex]x = 16[/tex]

Which number line represents the solutions to |x+4|=2?

Answers

Answer:

Step-by-step explanation:

This is an absolute value equation.

Firstly we will remove absolute value:

Absolute value always gives the positive result. Hence to remove the absolute value we will take both positive and negative:

|x+4|=2

x+4=2

Move the constant value to the R.H.S

x=2-4

x= -2

x+4 = -2

Move 4 to the R.H.S

x= -2 -4

x= -6

Therefore x = (-2, -6)....

If 47400 dollars is invested at an interest rate of 7 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent.

(a) Annual: $ _____.
(b) Semiannual: $ _____.
(c) Monthly: $ _____.
(d) Daily: $______.

Answers

Answer:

Part A) Annual [tex]\$66,480.95[/tex]  

Part B) Semiannual [tex]\$66,862.38[/tex]  

Part C) Monthly [tex]\$67,195.44[/tex]  

Part D) Daily [tex]\$67,261.54[/tex]

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

Part A)

Annual

in this problem we have  

[tex]t=5\ years\\ P=\$47,400\\ r=0.07\\n=1[/tex]  

substitute in the formula above  

[tex]A=47,400(1+\frac{0.07}{1})^{1*5}\\A=47,400(1.07)^{5}\\A=\$66,480.95[/tex]

Part B)

Semiannual

in this problem we have  

[tex]t=5\ years\\ P=\$47,400\\ r=0.07\\n=2[/tex]

 substitute in the formula above  

[tex]A=47,400(1+\frac{0.07}{2})^{2*5}\\A=47,400(1.035)^{10}\\A=\$66,862.38[/tex]

Part C)

Monthly

in this problem we have  

[tex]t=5\ years\\ P=\$47,400\\ r=0.07\\n=12[/tex] 

substitute in the formula above  

[tex]A=47,400(1+\frac{0.07}{12})^{12*5} \\A=47,400(1.0058)^{60}\\A=\$67,195.44[/tex]

Part D)

Daily

in this problem we have  

[tex]t=5\ years\\ P=\$47,400\\ r=0.07\\n=365[/tex] 

substitute in the formula above  

[tex]A=47,400(1+\frac{0.07}{365})^{365*5}\\A=47,400(1.0002)^{1,825}\\A=\$67,261.54[/tex]

Given: AD = BC and Prove: DE congruent to CE

Answers

Answer:

Step-by-step explanation:

The area of the regular hexagon is 10.4 in.2. What is the measure of the apothem, rounded to the nearest tenth of an inch? 1.3 in. 1.7 in. 2.0 in. 3.4 in.

Answers

Answer:

1.7

Step-by-step explanation:

Given:

Area of polygon=10.4

sides of polygon=2

Formula for area of a regular polygon= 1/2 (apothem x perimeter )

Putting value, we get

10.4= 1/2 ( a x 12 )

10.4=6a

a=10.4/6

a=1.73

the measure of the apothem, rounded to the nearest tenth of an inch=1.7!

Answer:

1.7 inches

Step-by-step explanation:

If the area of the regular hexagon is 10.4 in.2, the measure of the apothem, rounded to the nearest tenth of an inch is  1.7 inches

QP contains the points Q(-6,10) and P(-12,-2). Find the slope of a line perpendicular to QP

Answers

Answer: -2

Step-by-step explanation: Find the slope of between the two points. P is the bottom point and Q is the top point. Both x and y numbers increase, meaning that the slope is positive. The x numbers increase by 6, and the y numbers increase by 12. This means that the rise is 12, and the run is 6. The slope is 12/6 but can be simplified to 2/1. The perpendicular slope is -1/2 because the perpendicular slope of a line is opposite reciprocal. This means to make the number negative and to flip it.

Answer:

-1/2

Step-by-step explanation:

So we are asked to find the slope of a line perpendicular to the line going through Q(-6,10) and P(-12,-2).

To do this we first need to find the slope of the line going through Q(-6,10) and P(-12,-2).

We can use the slope formula for a line given two points on that line which is (y2-y1)/(x2-x1).

I like to do something I consider easier to remember and is the same thing

It is:

A) line up the points

B) subtract vertically

C) put 2nd difference over first difference

D) done unless it needs reducing

So that is exactly what I'm going to do here:

(-6, 10)

-(-12,-2)

------------

6 12

So the slope is 12/6 or 2.

Now you might prefer to write 2 as a fraction now, because I'm about to tell you to find the slope of a line that is perpendicular, you just need to take the opposite reciprocal.

Opposite means to change the sign. I'm referring to negative or positive sign.

Reciprocal means to flip the number.

Let's put 2 through that process.

Opposite of 2: -2

Reciprocal of the opposite: -1/2

I got that reciprocal there by realizing -2 is just -2/1.

Anyways the slope of a line that is perpendicular to the one that goes through P and Q is -1/2 or -0.5.

From the equation, find the axis of symmetry of the parabola. y=-3x^2+3x-13 a. x=1/2 b. x=3 c. x=-1/2 d. x=1

Answers

The answer is a
The work and answer is shown in pic

The axis of symmetry of the parabola [tex]y = -3x^2 + 3x - 13[/tex] is x = 1/2.

The axis of symmetry of a parabola in the form [tex]y = ax^2 + bx + c[/tex] is given by the formula x = -b/2a.

In the given equation [tex]y = -3x^2 + 3x - 13[/tex],

we can identify a = -3, b = 3, and c = -13.

The axis of symmetry is then calculated as x = -b/2a:

x = -3/(2*-3) = -3/-6 = 1/2

So, the correct answer is a. x = 1/2.

3 sin^{2} x +cos 2x= (5/4)
answer in radians

Answers

Answer:

I believe it's 0.540717

Step-by-step explanation:

3(sin(2))x+(cos(2))(x)=5/4

Simplify: 2.311745x=5/4

Divide: 2.311745x/2.311735=5/4/2.311745

x=0.540717

What is the y-value of the vertex of the function f(x)=-(x-3)(x+11)

Answers

so, this is a quadratic equation, meaning two solutions, and we have a factored form of it, meaning you can get the solutions by simply zeroing out the f(x).

[tex]\bf \stackrel{f(x)}{0}=-(x-3)(x+11)\implies 0=(x-3)(x+11)\implies x= \begin{cases} 3\\ -11 \end{cases} \\\\\\ \boxed{-11}\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}-4\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}\boxed{3}[/tex]

so the zeros/solutions are at x = 3 and x = -11, now, bearing in mind the vertex will be half-way between those two, checking the number line, that midpoint will be at x = -4, so the vertex is right there, well, what's f(x) when x = -4?

[tex]\bf f(-4)=-(-4-3)(-4+11)\implies f(-4)=7(7)\implies f(-4)=49 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{vertex}{(-4~~,~~49)}~\hfill[/tex]

how do you calculate the median and mean of X based on the table?​

Answers

Answer:

The mean is all the #s added up and divided by 5, and median is the number in the middle which is 0.18

Step-by-step explanation:

PLZ vote me for BRAINILEST

SCIENCE--What is the connection between glaciers high in the Himalayan Mountains and hundreds of millions of people living in the lowlands of India, China and Bangladesh? Select one: a. The glaciers cool the region. b. There is no connection. c. The glaciers feed the great rivers of Asia and supply the lowlands with freshwater. d. The glaciers prevent people from being able to travel through the mountains.

Answers

The best answer is C. Those glaciers cause large rivers and in turn large population centers to form.

C. Those glaciers cause large rivers and in turn large population centers to form.

Why are glaciers so important?

Glaciers are the cornerstone of life on Earth. As vast freshwater reservoirs, they support the Earth's life system and affect our daily lives, including communities that live far away. But glaciers are disappearing. The disappearing glacier reveals the tallest glacier on Everest, which has lost ice for 2,000 years since the 1990s.

Even the highest mountains in the world are not safe from climate change. Even the glaciers of Everest are unsafe from climate change, new research suggests. Glacier ice turns blue because the red (long wavelength) part of white light is absorbed by the ice and the blue (short wavelength) part is transmitted and scattered. The longer the pass light travels through the ice, the bluer it looks.

Learn more about glaciers here: https://brainly.com/question/6666513

#SPJ2

an app on your phone can estimate your time of arrival when given distance covered. You have travelled 4 1 2 kilometres. The app only accepts improper fractions.

Answers

Answer:

?

Step-by-step explanation:

wait is the kilometers number 412 or 41.2?

Final answer:

The mixed fraction 4 1/2 can be converted to the improper fraction 9/2 by multiplying the whole number by the denominator and then adding the numerator.

Explanation:

The question is asking you to convert a mixed fraction (4 1/2) into an improper fraction. In your case of 4 1/2, an improper fraction is a fraction where the numerator (the top number) is greater than the denominator (the bottom number). To convert a mixed number into an improper fraction, you multiply the whole number (4) by the denominator of the fractional part (2) and add the numerator of the fractional part (1). This gives you the numerator of the improper fraction.

Here's how you do it: 4*2 = 8, then add 1, which gives you 9. Your improper fraction is thus 9/2.

Learn more about Improper Fraction

https://brainly.com/question/19318336

#SPJ12

A wall is 15 ft. high and 10 ft. from a house.
Find the length of the shortest ladder which
will just touch the top of the wall and reach a
window 20.35 ft. above the ground.

Answers

Answer:

=11.35 ft.

Step-by-step explanation:

The ladder, the flat surface the wall and the height up to the window form a trapezium.

The triangle that constitutes of the trapezium has the ladder as the hypotenuse, the distance between the two walls as base and the perpendicular distance from the base of the ladder to the window as height.

The height=20.35 ft-15 ft= 5.35 ft

Distance between the walls=10 ft

Hypotenuse²= base²+height²

H²=b²+h²

=10²+5.35²

=128.6225

H=√128.6225

=11.35 ft.

Answer:

11.41 ft

Step-by-step explanation:

Same steps as the other guy but, I have the correct answer(especially for Acellus)

A small bat weighs about 2/5 of an ounce. A small hummingbird weighs about 14/25 of an ounce. Explain how to find the difference in the weights of these animals

Answers

Answer:

The difference is about [tex]\frac{4}{25}[/tex] of an ounce

Step-by-step explanation:

we know that

A small bat weighs about 2/5 of an ounce

A small hummingbird weighs about 14/25 of an ounce

step 1

Multiply 2/5 by 5/5

Remember that

5/5 is 1

so

[tex](\frac{2}{5})(\frac{5}{5})=\frac{10}{25}[/tex]

step 2

To find the difference in the weights of these animals, subtract the weight of the small bat from the weight of the small hummingbird

[tex](\frac{14}{25})-(\frac{10}{25})[/tex]

Remember that

When subtract fractions with the same denominators, subtract the top numbers and put the answer over the same denominator

so

[tex](\frac{14}{25})-(\frac{10}{25})=\frac{4}{25}[/tex]

therefore

The difference is about [tex]\frac{4}{25}[/tex] of an ounce

which of the following is not part of polyhedron.

a. Face
b. Vertex
c. Oblique
d. Edge

Answers

Answer:

C

Step-by-step explanation:

Oblique. The other three are used to describe a polyhedron. They are related by the following formula

V + F - E = 2.

Where

V = number of vertexesF = the number of facesE = edges

For example consider a common cube, like a sugar cube.

It has 6 faces (f)

It has 8 vertexes (V)

It has 12 edges. E

6 + 8 - 12 = 14 - 12 = 2

If f(x)=-2x-3 find f(4)

Answers

Answer:

f(4) = -11

Step-by-step explanation:

Plug in 4 for x: Note that x = 4.

f(x) = -2x - 3

f(4) = -2(4) - 3

Remember to follow PEMDAS. First, solve the multiplication, then subtract:

f(4) = (-2 * 4) - 3

f(4) = (-8) - 3

f(4) = -11

f(4) = -11 is your answer.

~

solutions to equation x^2 + x - 30 = 12 using zero product property

Answers

Answer:

Our solutions are x= -7 , x=6

Step-by-step explanation:

x²+x-30=12

First we calculate the constants:

x²+x-30-12=0

x²+x-42=0

Now split the middle term:

x²+7x-6x-42=0

x(x+7)-6(x+7)=0

(x+7)(x-6)=0

As we know that:

a.b=0

⇒either a=0 or b=0

(x+7)=0 , (x-6)=0

x=0-7 , x=0+6

x= -7 , x=6

So our solutions are x= -7 , x=6....

Other Questions
1. What is the value of x? Enter your answer in the box2. What is the value of x? Enter your answer in the box Cite at least three medical technologies that make our lives better? Read the excerpt from "Lessons of Dr. Martin Luther King, Jr."My friends, as we enter a new decade, it should be clear to all of us that there is an unfinished agenda, that we have miles to go before we reach the promised land.Which persuasive element does Chavez most use in this passage? How can an environmental law affect a business Mr. Nguyen understands that medicare prescription drug plans can use a formulary or list of covered drugs. He is suspicious about how plans establish these formularies. What should you tell him? Pick One- 1. Plans must use a single, standard formulary developed by the Federal government to keep cost down and quality high for beneficiaries. 2. Formularies must be developed with input from pharmacist, doctors, and other experts. 3. Formularies are developed purely on teh basis fo drg costs and include the last expensive drugs to keep costs down for beneficiaries and the medicare program 4. formularies are developed by consortium of health plans. Much of macroeconomics attempts to explain a. changes in the growth rate of state government spending. b. changes in the prices and quantities of individual goods and services. c. long-run growth and short-run fluctuations in real GDP. d. changes in the price of oil and gasoline. Two identical stars with mass M orbit around their center of mass. Each orbit is circular and has radius R, so that the two stars are always on opposite sides of the circle.(A) Find the gravitational force of one star on the other.(B) Find the orbital speed of each star.(C) Find the period of the orbit of each star.(D) How much energy would be required to separate the two stars to infinity? (Refer to picture)Maribel le est contando a su amiga Nuria como son los banquetes para celebrar lajubilacin de un empleado importante en su pas. Para saber cmo son, completa ladescripcin con la palabra apropiada de la siguiente lista. iOJO! Tienes que conjugarlos verbos en el presente del indicativo. What is the measure of XYZ?O A. 75O B. 56.5O C. 38O D. 76 what is the equilibrium expression for the reatcion bellow2SO3(g)O2(g)+2SO2(g) which line is perpendicular to the given equation: y=2x+17 Gold trade and kingdoms played an important role in the birth of the slave trade in Africa. While slavery was common in Africa, it became a lucrative commercial business when started buying slaves. African rulers encouraged this trade as it made them wealthier. what is the solution to the equation square root 5x-7= square root 3x+5 A line is in point-slope form and and passes through points (-4,-3) and (12,1) and is y-1= 1/4(x-12) what is the standard form of this equation Why is a person with type AB blood able to receive a blood transfusion from a donor with any of the major blood types (A, B, AB, and O) but is able to donate blood only to another type AB individual? Match the words in the left column to the appropriate blanks in the sentences on the right. A gas contained within a piston-cylinder undergoes the follow change in states: Process 1: Constant volume from p1 = 1 bar V1 = 2.6 m3 to state 2 with p2 = 2.7 bar Process 2: Compression to V3 = 1.5 m3, which the pressure-volume relationship is pV = constant. Process 3: Constant pressure to state 4, where V4 = 0.5 m3. Sketch the processes on p-V graph and evaluate the work for each process in kJ. PLEASE HELP ITS TIMEDwhich is the graph of a logarithmic function? An oligarchy is best defined as Use Stokes' Theorem to evaluate S curl F dS. F(x, y, z) = 5y cos(z) i + ex sin(z) j + xey k, S is the hemisphere x2 + y2 + z2 = 4, z 0, oriented upward. Step 1 Stokes' Theorem tells us that if C is the boundary curve of a surface S, then curl F dS S = C F dr Since S is the hemisphere x2 + y2 + z2 = 4, z 0 oriented upward, then the boundary curve C is the circle in the xy-plane, x2 + y2 = 4 Correct: Your answer is correct. seenKey 4 , z = 0, oriented in the counterclockwise direction when viewed from above. A vector equation of C is r(t) = 2 Correct: Your answer is correct. seenKey 2 cos(t) i + 2 Correct: Your answer is correct. seenKey 2 sin(t) j + 0k with 0 t 2. You are considering two independent projects that have differing requirements. Project A has a required return of 12 percent compared to Project Bs required return of 13.5 percent. Project A costs $75,000 and has cash flows of $21,000, $49,000, and $12,000 for Years 1 to 3, respectively. Project B has an initial cost of $70,000 and cash flows of $15,000, $18,000, and $41,000 for Years 1 to 3, respectively. Given this information, you should:1. accept both Project A and Project B.2. accept Project A and reject Project B.3. accept Project B and reject Project A.4. reject both Project A and Project B.5. accept whichever one you want but not both.