Assume we have two lines which are perpendicular. If one line has a slope of 3, what is the slope of the other line? Enter your answer as an integer or fraction in lowest terms.

Answers

Answer 1

Final answer:

The slope of a line perpendicular to a line with a slope of 3 is -1/3. This is because perpendicular lines have negative reciprocal slopes.

Explanation:

In mathematics, when two lines are perpendicular, their slopes are negative reciprocals of each other because the product of their slopes equals to -1. This means that if one line has a slope of 3, the slope of the other line would be the negative reciprocal of 3, which is -1/3. So, the slope of the other line is -1/3.

To understand this further, let's delve into the figure of Slope and the Algebra of Straight Lines. Here, 'm' represents the slope which is the rise over the run and 'b' is the y-intercept, which is the point at which the line crosses the y-axis. Considering the fact that the slope of the line is 3, there is an increase of 3 in the y-coordinate (or vertical axis) for every increase of 1 in the x-coordinate (or horizontal axis).

Learn more about Slope of Perpendicular Lines here:

https://brainly.com/question/35632758

#SPJ11

Related Questions

n circle A shown below, m Arc BC is 61° and m Arc EF is 76°: Points B, C, E, F lie on Circle A. Lines BE and CF pass through point D creating angle EDF. Measure of arc BC is 61 degrees and What is m∠FDE?

Answers

Here is the solution:

m<FDE = 1/2( Arc BC + Arc 76)
m<FDE = 1/2 (61° + 76°)
m<FDE = 137/2 = 68.5°

So the answer is 68.5°

Answer:

The correct answer is 68.5°

The calculated result of the angle FDE is 68.5°. Whenever two chords cut across a circle, the resulting angle is equivalent to half of the sum of the measurements of the arc the angle intersects and that which the angle vertical to the first angle intercepts.

m<FDE = 1/2( Arc BC + Arc 76)

m<FDE = 1/2 (61° + 76°)

m<FDE = 137/2 = 68.5°

Give Brainliest if you please

A museum charges a school $200 to hold a trip + $2 entrance fee per person. The students must share the total cost of the trip equally include the entrance feee for 8 teachers. What is the function Y(x) that gives that gives the cost per X person attending the trip?

Answers

y = [tex] \frac{ 2x + 216}{x} [/tex]

This is because 16 needs to be added to the base amount since the teachers cost is automatically added in.

A group of 12 people attend a meeting. Every pair of people shook hands with each other. How many handshakes were there?

Answers

There are 12 people handshakes

The first person will shake the hand whit the other 11 people, the second with 10 because he has already shook his hand with the first, and so on.
So there will be 11+10+9+8+7+6+5+4+3+2+1=66 handshakes.

Hope this helped!

Write the expression 5x+4x^2(2x+7)-6x^2-9x as a polynomial in standard form

Answers

5x + 4x²(2x + 7) - 6x² - 9x
5x + 8x³ + 28x² - 6x² - 9x

8x³ + 22x² - 4x

This can be simplified to:

2x(4x² + 11x - 2)

I don't know which of those answers you are looking for.

Answer:

8x^3 + 22x^2 - 4x

Step-by-step explanation:

5x+4x^2(2x+7)-6x^2-9x

Open the bracket

5x + 8x^3 + 28x^2 - 6x^2 - 9x

= 8x^3 + 28x^2 - 6x^2 - 9x + 5x

= 8x^3 + 22x^2 - 4x

In standard form, the polynomial 5x+4x^2(2x+7)-6x^2-9x is 8x^3 + 22x^2 - 4x

Q: what is the complete factorization of the polynomial below x^3+4x^2-x-4?

A. (x+1)(x-1)(x+4)
B. (x-1)(x-1)(x-4)
C. (x+1)(x-1)(x-4)
D. (x-1)(x-1)(x+4)

Answers

The solution is Option A.

The factorized form of the polynomial equation A = x³ + 4x² - x - 4 is given by B = ( x + 1 ) ( x - 1 ) ( x + 4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the factorized equation be represented as = B

Now , let the equation be A

The value of A is given by A = x³ + 4x² - x - 4

On simplifying the equation , we get

A = x³ + 4x² - x - 4

Taking x² as the common term in the first two terms of the equation ,

A = x² ( x + 4 ) - x - 4

The equation can be further simplified as

A = x² ( x + 4 ) - ( x + 4 )

Taking ( x + 4 ) as the common term in the first two terms of the equation ,

A = ( x² - 1 ) ( x + 4 )

Now , ( x² - 1 ) can be simplified as ( x + 1 ) ( x - 1 )

So , the value of B is

B = ( x + 1 ) ( x - 1 ) ( x + 4 )

Therefore , the value of B is ( x + 1 ) ( x - 1 ) ( x + 4 )

Hence , the factorized equation is ( x + 1 ) ( x - 1 ) ( x + 4 )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Bob can type 2 letters in 4 hours while Bill can do it in 6. How many hours would it take them, working together, to type six letters?

Answers

Bob's production rate is given by:
r1 = 2/4 = 1/2 letter / hour
The production rate of Bill is given by:
r2 = 2/6 = 1/3 letter / hour
Thus, the production rate of both is:
r1 + r2 = 1/2 + 1/3 = 5/6 letter / hour
Then, the production of 6 letters is given by:
rate * time = letters
(5/6) t = 6
t = (6/5) 6
t = 36/5 = 7 1/5 hours = 7hr 12 min
Answer:
it would take them, working together, to type six letters about:
7hr 12 min

Answer:

It would take them 7.2 hours.

what is the following product 3 sqrt 2(5 sqrt 6-7 sqrt 3)

Answers

the answer in the attached figure

Answer:

[tex](30\sqrt{3}-21\sqrt{6})[/tex]

Step-by-step explanation:

We have to find the product of the expressions.

[tex]3\sqrt{2}(5\sqrt{6}-7\sqrt{3})\\[/tex]

= [tex]3\sqrt{2}\times 5\sqrt{6}-7\sqrt{3}\times 3\sqrt{2}[/tex] ( By distributive rule)

= [tex]3\times 5(\sqrt{2})(\sqrt{6})-7\times 3(\sqrt{3})(\sqrt{2})[/tex]

= [tex]15\sqrt{12}-21\sqrt{6}[/tex]

= [tex]15\sqrt{4\times 3}-21\sqrt{6}[/tex]

= [tex]30\sqrt{3}-21\sqrt{6}[/tex]

= [tex](30\sqrt{3}-21\sqrt{6})[/tex]

A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being tested for hepatitis will test as being infected 2% of the time. And research, the test is given to 30 healthy (not having hepatitis) subjects. Let X be the number of subjects who test positive for the disease

A. What is the probability that all 30 subjects will appropriately test as not being infected?
B. What are the mean and standard deviation of X?
C. To what extent do you think this is a viable test to use in the field of medicine?

Answers

A) You need to use the binomial distribution, for which the probability of an event X is given by:
[tex]P(X) = \frac{n!}{k!(n-k)!} p^{k} (1-p)^{n-k} [/tex]
where:
n = total number of events
k = number of success we want
p = probability of success

Therefore, since the problem tells you that X is the number of subjects who test positive for the disease, you will have:

[tex]P(X) = \frac{30!}{0!(30-0)!} 0.02^{0} (1-0.02)^{30-0} [/tex]

= 1 · 1 · 0.98³⁰
= 0.5455

Hence, the probability of none of the 30 subjects testing positive to the desease is 54.55%

B) In a binomial distribution, the mean is given by the formula:
μ = n · p
   = 30 · 0.02
   = 0.6

And the standard deviation is given by the formula:
σ = √[n·p·(1-p)]
   = √[30·0.02·0.98]
   = √0.588
   = 0.77

Hence, the mean is 0.6 and the standard deviation is 0.77

C) This test is not very viable: 30 subjects are a sample too small compared to the population (millions of people who need to be tested), the probability of finding that all the 30 subjects are healty is only a little bit over 50%, the standard deviation is too high compared to the mean, and 2% of false positive is a percentage too high to consider the test viable.

A bag contains 5 5 green marbles, 10 10 yellow marbles, 4 4 red marbles. two marbles are drawn without replacement which means that once the first marble is selected it is not put bag into the bag. it is not replaced. what is the probability of drawing a green marble then a red marble?

Answers

The probability of drawing a green marble will be 5/19, then for a red marble it will be 4/18 because there are less marbles in the bag. Also the probability of drawing a green or red marble the second draw will be the same probability. Hope this helps!

Total number of marbles = 5 + 10 + 4 = 19

Number of green marbles = 5
Number of red marbles = 4

P(Green, then red) = (4/19)(5/18) = 5/28

Answer: 5/28

New York City gift shop sells miniature Statue of Liberty sculptures that are 7.8 inches tall. the scale of the model to the actual statue is 1:232. what is the height of the actual statue to the nearest foot?

Answers

the correct answer is 151

Find the area of the rectangle below (3x-2) (4x-7)

Answers

To find the area, we have to use the F.O.I.L. method to solve (3x-2)*(4x-7)

-> 12x^2-21x-8x+14

= 12x^2 - 29x + 14

So the area of the rectangle would be 12x^2 - 29x + 14.

Hope this helps. If you have any questions, place it in the comment section below.

All we can do here is assume that the width and length of the rectangle in question are 3x-2 and 4x-7.

If and only if this assumption is correct, then the area is L * W, or

(3x-2)(4x-7) = 12x^2 -13x + 14.

Techechtium-99m has a half-life of 6 hours. If 1000mg is in use, in how many hours will 62.5mg remain?

Answers

One half life 1000 mg to 1000/2 =500 mg
One half life 500 mg to 500/2 = 250 mg
One half life 250 mg to 250/2 = 125 mg
Etc .......

Final answer:

Techechtium-99m has a half-life of 6 hours. It will take 96 hours for 62.5 mg of Techechtium-99m to remain from an initial amount of 1000mg.

Explanation:

To determine how many hours it will take for 62.5 mg of Techechtium-99m to remain from an initial amount of 1000mg, we can use the concept of half-life.

Techechtium-99m has a half-life of 6 hours, which means that after every 6 hours, half of the initial amount will decay.

So, to find the number of half-lives required to reach 62.5 mg, we can divide the initial amount by the remaining amount:

1000mg / 62.5mg = 16.

Since each half-life is 6 hours, we can multiply the number of half-lives by 6 to find the total number of hours:

16 x 6 = 96.

Therefore, it will take 96 hours for 62.5 mg of Techechtium-99m to remain from an initial amount of 1000mg.

What are the factors of x^2-64

Answers

Difference Of Two Squares
a^2 - b^2 = a^2 - b^2
so
x^2-64
=x^2 - 8^2
= (x + 8)(x - 8)

Final answer:

The factors of x^2 - 64 are (x - 8) and (x + 8), derived by recognizing the expression as a difference of squares and applying the formula a^2 - b^2 = (a - b)(a + b).

Explanation:

The question asks about the factors of x^2-64. This expression is a difference of squares, which can be factored using the formula a^2 - b^2 = (a - b)(a + b). In this case, x^2 is a^2, and 64 is b^2, with b being 8 since 82 = 64. Applying the formula, we get:

x^2 - 64 = (x - 8)(x + 8)

This shows that the factors of x^2-64 are (x - 8) and (x + 8). This process of factoring by recognizing patterns, especially the difference of squares, is a useful algebraic skill when simplifying expressions or solving equations.

Evaluate the series 4 – 2 + 1 – 0.5 + 0.25 to S10. Round to the nearest hundredth.

Answers

The initial term of this geometric series is 4, and the common ratio is -1/2. The sum is given by

[tex]S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}\\\\S_{10}=4\cdot \dfrac{(-\frac{1}{2})^{10}-1}{-\frac{1}{2}-1}=4\cdot \dfrac{(\frac{1}{1024}-1)}{(-\frac{3}{2})}\\\\=\dfrac{8}{3}\cdot \dfrac{1023}{1024}=\dfrac{341}{128}[/tex]

The sum is approximately 2.66.

Quick need the answer!

Answers

The answer is “c” x=90.y=45

Which represents a quadratic functionWhich represents a quadratic function? f(x) = 2x3 + 2x2 – 4 f(x) = –7x2 – x + 2 f(x) = –3x + 2 f(x) = 0x2 + 3x – 3

Answers

Answer:

[tex]f(x) = -7x^2 -x +2[/tex] represents a quadratic function.

Step-by-step explanation:

A polynomial of degree two is called quadratic function,

Also, degree of polynomial is the highest power of its monomial ( individual term with non zero coefficient ),

Since, [tex]f(x) = 2x^3 + 2x^2 -4[/tex] has degree 3,

⇒ [tex]f(x) = 2x^3 + 2x^2 -4[/tex] is not a quadratic function,

[tex]f(x) = -7x^2 -x +2[/tex] has degree 2,

⇒ [tex]f(x) = -7x^2 -x +2[/tex] is a quadratic function,

[tex]f(x) = -3x+2[/tex] has degree 1,

⇒ [tex]f(x) = -3x+2[/tex] is not a quadratic function,

[tex]f(x) = 0x^2 + 3x -3[/tex] has degree 1,

⇒ [tex]f(x) = 0x^2 + 3x -3[/tex] is not a quadratic function,

The figure below is the two-dimensional net of a rectangular prism. What is the surface area of the prism it can be folded to form? Show your work.

8 square units
20 square units
24 square units
28 square units

Answers

see the picture with letters attached to better understand the problem

we know that
surface area=area A +area B+area C+area D+area E+area F

area A=area F
area B=area area D
area C=area E
so
surface area=[2*1]+[4*2]+[4*1]+[4*2]+[4*1]+[2*1]----> 28 units²

the answer is
28 units²

Answer:

the answer is d:)

Step-by-step explanation:

i took the quiz on edge and got 100:D

Mind helping someone out?
I've kinda been stuck on this problem and it's my last math problem for the day.

Answers

[tex]\bf 2a^3b^2\sqrt[3]{12b}\implies 2a^3b^2\sqrt[3]{12b^1}\implies \sqrt[3]{(2)^3(a^3)^3(b^2)^3~~~~12b^1} \\\\\\ \sqrt[3]{2^3a^{3\cdot 3}b^{2\cdot 3}~~~~12b^1}\implies \sqrt[3]{8a^9b^6~~~~12b^1}\implies \sqrt[3]{(8)(12)a^9b^6b^1} \\\\\\ \sqrt[3]{96a^9b^{6+1}}\implies \sqrt[3]{96a^9b^7}[/tex]

What is the measure of the angle?

Answers

Remember that the x-axis and the y-axis make an angle of 90° in the first quadrant. To find the measure of the angle we just need to add the smaller angle, 65°, and the right angle between the axis 90°:

Measure of the angle=65°+90°=155°

We can conclude that the measure of the bigger angle in the picture is 155°

The 65 degrees lies in the beginning of the 2nd quadrant where the second quadrant starts with 90 degrees.

So the angle is 90 degrees + 65 degrees = 155 degrees

The fourth one is the answer

please help asap 50 pts

Answers

C. If you were to graph the parabola, you would find that the vertex is at (19,361). Therefore, the answer is C.

Your answer should be C.

[tex]The\; vertex\; is\; at\; 19,361\; so\; your\; answer\;is\;c![/tex]

Wai recorded the length of each wire needed for a science project. What is the total length of wire needed?

Answers

the picture in the attached figure

we know that
the attached figure is a frequency table

Multiply each number of Length by its frequency
The product is the total amount for that value
Add the products
so
(1/8)*1+(1/4)*1+(1/2)*3+(3/4)*8+(1)*4+1 3/8*(2)
1 3/8----> 11/8
=(1/8)*1+(1/4)*1+(1/2)*3+(3/4)*8+(1)*4+11/8*(2)
=(1/8)+(1/4)+(3/2)+(6)+(4)+11/4
=(1+2+12+48+32+22)/8
=117/8-----> 14.625-----> 14 5/8 ft

the answer is
14.625 ft or 14 5/8 ft

Answer:

14 5/8

Step-by-step explanation:

multiply each number by it's frequency the product is the total value .

I am first going to try finding the tangent line at this point:

Take the derivative:
dy/dx = (3x^2 - e^x)/2y
Solve using (0, 1)
dy/dx = (0 - 1)/6 = -1/6

I believe that -1/6 is the slope of the tangent line, so the slope of the normal line should be +6, right?

Answers

Yep, you're correct!

[tex]e^x-x^3+y^2=10[/tex]

[tex]y^2=x^3-e^x+10[/tex]

Take the derivative of both sides.

[tex]2y \dfrac{dy}{dx} = 3x^2-e^x [/tex]

[tex]\dfrac{dy}{dx}= \dfrac{3x^2-e^x}{2y}[/tex]

Plug in (0, 3) and you get -1/6.

The derivative of a function at a certain point is the slope of the tangent of that point.

This is because the derivative is supposed to represent the rate of change for the function, and the slope of a line represents a constant rate of change. The rate of change of a function at a certain point is constant, so a line can be used to represent it. This line is the tangent line.

It is a property of perpendicular lines to have slopes that are negative reciprocals of another. The negative reciprocal of -1/6 is 6, so you are correct.

You are correct on both counts. (Though, I suspect you mean "Solve using (0, 3)."

The slope of the normal is 6.

The base of a triangle is 15 centimeters and its height is 6 centimeters. What is the area of the triangle?
a.21 cm2
b.45 cm2
c.90 cm2
d.180 cm2 Submit

Answers

Hoi!

To calculate the area, multiply 15 and 6, then divide the product by 2.

15 × 6 = 90

90 ÷ 2 = 45

The area of this triangle is 45.

If BY = 4, YC = 7, XC = 10. Which of the following proportions could be used to solve for AC?

4/7 = 10/AC
7/4 = 10/AC
4/11 = 10/AC
7/11 = 10/AC

Answers

line XY goes in through triangle ABC, and Y lies between lines BC while X lies between lines AC
The ratio of similar sides to triangles should be equal AC/XC=BC/YC BC=BY+YC BC=4+7=11
AC/10=11/7 or 7/11=10/AC the ratio above should be used for calculation of AC

Answer:

The correct option is 4.

Step-by-step explanation:

In triangle ABC and XYC,

[tex]\angle BAC=\angle YXC=60^{\circ}[/tex] (Given)

[tex]\angle BCA=\angle YCX[/tex] (Reflexive Property)

By AA rule of similarity,

[tex]\triangle ABC\sim \triangle XYC[/tex]

The corresponding sides of similar triangles are proportional.

Since triangle ABC and XYC, therefore

[tex]\frac{XC}{AC}=\frac{YC}{BC}[/tex]

[tex]\frac{XC}{AC}=\frac{YC}{BY+YC}[/tex]

[tex]\frac{10}{AC}=\frac{7}{4+7}[/tex]

[tex]\frac{10}{AC}=\frac{7}{11}[/tex]

Therefore option 4 is correct.

Am I correct in thinking that the answer to this derivative problem is B?

dy/dx = y/x^2

dy/y = dx/x^2

ln y * ln c = -1/x

cy = e^(-1/x)

y = ce^(-1/x)

Answers

y ' = x(1+y)
dy/dx = x(1+y)
dy/(1+y) = x dx .... separate variables
int[dy/(1+y)] = int[x dx] ... apply integral to both sides
ln(1+y) = (1/2)x^2+C ... see note below
1+y = e^{(1/2)x^2+C}
1+y = e^C*e^{(1/2)x^2}
1+y = Ce^{(1/2)x^2}
y = Ce^{(1/2)x^2}-1

Answer is actually choice C (not choice B)

note: we would use absolute value bars for the natural log on the left side, but because y > -1, this means 1+y > 0. So there's no need to worry about if 1+y is negative

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

Checking the answer:

y = Ce^{(1/2)x^2}-1
dy/dx = d/dx[ Ce^{(1/2)x^2}-1 ]
dy/dx = d/dx[(1/2)x^2]*Ce^{(1/2)x^2}
dy/dx = (1/2)*2x*Ce^{(1/2)x^2}
dy/dx = x*Ce^{(1/2)x^2} ... we get some messy expression

x*(1+y) = x*(1+Ce^{(1/2)x^2}-1)
x*(1+y) = x*Ce^{(1/2)x^2} .... we get the same messy expression as before

So this shows that dy/dx = x*(1+y) is a true equation for y > -1 and y = Ce^{(1/2)x^2}-1, which confirms the right answer.

What is the area of a regular hexagon with a side length of 12 cm

Answers

The answer is about 374.
More exactly would be 374.12.
Hope this helps!

The answer is 72 cm. Because 12*6=72.

Find the surface area of each right regular pyramid. a pentagonal pyramid with base sides 1.5 meters, base area 3.9 m2, and slant height 4 meters

Answers

The answer is 18.9, i think, because there is a formula for finding the total surface area of such pyramids, but i used the simpler way of finding all the separate areas of each face using this information:

since the base area is 3.9 m2, we could just add that to the total at the end.

since the base edge is 1.5 m and the height is 4m, we could find the area of the face by doing (1.5 times 4)/2 which would give us 3m2.

Since there are 5 faces(pentagonal), we would multiply 3 times 5, and would get 15m total for all the triangle faces.

so to get the total surface area, you would add 15 + 3.9 (which was the base area) and get 18.9m2....

....;);) hope this helps

Suppose that there were a strong correlation between the variables n and p. Which of these is a true statement?
A. n may cause p.
B. p must cause n.
C. n must cause p.
D. n must not cause p.

Answers

Correlation is the measure of the type of association between two variables. There can be a positive, a negative or no association between two variables.

A correlation can be called association when it can be ascertained that the result in one variable is as a result of the result of the other variable. Though correlation is a condition for causation, but correlation does not imply causation.

Therefore, given that there were a strong correlation between the variables n and p, the true statement is "n may cause p".

The dot product of u with itself is 12. what is the magnitude of u?

Answers

let's say u = <a,b>.

we know it's dot product is 12, thus

[tex]\bf \ \textless \ a,b\ \textgreater \ \cdot \ \textless \ a,b\ \textgreater \ \implies (a\cdot a)+(b\cdot b)\implies \boxed{a^2+b^2=12}\\\\ -------------------------------\\\\ ||\ \textless \ a,b\ \textgreater \ ||=\sqrt{a^2+b^2}\implies \sqrt{\boxed{12}}[/tex]

Answer: The magnitude of the vector u is √12 units.

Step-by-step explanation: Given that the dot product of a vector u with itself is 12.

We are to find the magnitude of the vector u.

Let <a, b> represents the vector u.

That is, u = <a, b>

Then, according to the given information, we have

[tex]u.u=12\\\\\Rightarrow <a, b>.<a, b>=12\\\\\Rightarrow a^2+b^2=12\\\\\Rightarrow \sqrt{a^2+b^2}=\sqrt{12}\\\\\Rightarrow |u|=\sqrt{12}.[/tex]

Thus, the magnitude of the vector u is √12 units.

using his telescope, Tommy watches a bald eagle as it sits on the top of a cliff. the telescope is positioned so that the line of sight to the eagle forms a 38 degree angle of elevation. the telescope sits 1.3 m above the ground and the base of the telescope is 116 m away from the base of the cliff. to the nearest tenth of a meter, how high above the ground is the eagle?

Answers

the correct answer is B 91.9 m

Other Questions

I need help History >_ We come before you now, not to ask your assistance in an untried experiment, but to give you the high privilege of becoming fellow-laborers with us, in a cause which is already triumphing, and is destined to triumph, until the floods of pollution are stayed, and the whole earth purified by the spirit of the Lord. In our efforts hitherto, we have had to contend not only, or mainly, with ignorance and vice. They are our natural foes, and we had counted the cost of their opposition, and made up our minds accordingly. But we had a right to expect the cooperation of the virtuous and intelligent, of all who are seeking to effect the removal of sin and suffering, and the universal prevalence of purity and holiness. Our Society has these great objects expressly in view. - Female Moral Reform Society, 1836 This passage most closely aligns with which of these movements? A)Abolitionism B)Manifest Destiny C)The Age of Reason D)The Second Great Awakening Solve the equation 3x+5y=4 for y The largest source of usable freshwater is _____.in glaciersin rivers and lakesundergroundpart of the atmosphere there are 54 people at the party. 18 of them are wearing red, what percent of them are not wearing red Ben buys a car for $50,000. The value of the car decreases at a rate of 4% per year. How much will the car be worth in 3 years? A. $48,000 B. $44,237 C. $45,082 D. $43,270 Write the vertex form of the equation of the parabola which has a vertex of (0,0) and contains the point (1,2). A. Y=2x^2. B. Y=2(x-1)^2. C. Y=x^2. D. Y=(x+1)^2+1 What is the central dogma of biology identify and describe the molecular processes that accomplisht he flow of genetic information described in the central dogma? Read the passage. In this excerpt, the old king speaks to the boy. excerpt from The Alchemist by Paul Coelho Yes, or even search for treasure. The Soul of the World is nourished by peoples happiness. And also by unhappiness, envy, and jealousy. To realize ones Personal Legend is a persons only real obligation. All things are one. And, when you want something, all the universe conspires in helping you to achieve it. They were both silent for a time, observing the plaza and the townspeople. It was the old man who spoke first. How does the personification of the universe create mood in this excerpt? A- It creates a hostile mood as the jealous universe plots to spoil the boys journey. B- It creates a fearful mood as the universe will feed on the boys unhappiness and envy. C- It creates a joyful mood as the universe contrives to grant the boy everlasting happiness. D- It creates a hopeful mood as the universe itself will help the boy find his treasure. In a call stack frame, the system places the values of the arguments and the return address for the particular ____. In czechoslovakia, the communist government was overthrown in 1989 in a nonviolent event called the A(n) ________ veto allows the governor to cross out budget lines in the legislature-approved budget, while signing the remainder of the budget into law. What was the reaction in the eastern roman empire when the western roman empire fell? Which best explains the importance of creating an outline? A: it helps your paper flow from one idea or topic to the otherB:it provides an organizational system for your paper hey can you please help me posted picture of question Suppose a non-native species of beetle was introduced into a forest. How would you know if the beetle was becoming an invasive species The position of an object at time t is given by s(t) = -9 - 5t. Find the instantaneous velocity at t = 4 by finding the derivative. What does carving up the turkey symbolize? winiki tells us that in the aftermath of lincoln's assassination hundreds of innocent suspect were rounded up often on the filmest of evedince. explain the connection between this and the action of act 3 scene 3 from the trategey Nationalism became a major force in world events in the late nineteenth and early twentieth centuries.Explain the meaning of the term nationalism. Explain how nationalist ideas led to discontent in the empires of the late nineteenth and early twentieth centuries. Give at least two examples.