Line r passes through points (2, 11) and (10, 4). Line s is perpendicular to r. What is the slope of line s?

Answers

Answer 1

Answer: 8/7

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

Work Shown:

Use the slope formula to find the slope of line r
m = (y2-y1)/(x2-x1)
m = (4-11)/(10-2)
m = -7/8

The slope of line r is -7/8

Now we take the negative reciprocal. In other words, we flip the fraction and flip the sign from negative to positive.

Flip the fraction: -7/8 ---> -8/7
Flip the sign: -8/7 ----> +8/7

The slope of line s is 8/7

Note how multiplying the slope of line r (-7/8) and the slope of line s (8/7) yields -1. Multiplying any two perpendicular slopes leads to a product of -1. This is excluding vertical lines as the slope is undefined.

Related Questions

The elevator in the Empire State Building can pass 80 floors in 45 seconds. How many floors can it pass in 9 seconds?

Answers

[tex]\bf \begin{array}{ccll} floors&seconds\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 80&45\\ f&9 \end{array}\implies \cfrac{80}{f}=\cfrac{45}{9}\implies \cfrac{80\cdot 9}{45}=f[/tex]

A store has 20% off sale on coats.With this discount, the price of one coat is 34.50 Whats the price of the coat?

Answers

$172.50.

20% = 0.20

34.50 / 0.20 = 172.50

What two numbers add to 2 and multiply to -14

Answers

x^2+2*-14
is your answer

draw and label an example of two parallel lines that are perpendicular to a third line.

Answers

Euclid used a somewhat different parallel postulate in trying to avoid the notion of the infinite. He observed that when two parallel lines are intersected by a third line, called a transversal, then if you measure two angles formed by these three lines, on the same side of the transversal and between the parallels, they will add to (that is, they will be supplementary). Such angles are called same-side interior angles:

write the resulting function if the transformation f(x+3)+9 is applied on the function f(x)=x^2+1

a) x^2+13
b)x^2+19
c)x^2+6x+19
d)x^2+3x+13

Answers

We have the following function:
f (x) = x ^ 2 + 1
We apply the transformation f (x + 3) +9:
g (x) = (x + 3) ^ 2 + 1 + 9
Rewriting we have:
g (x) = (x + 3) * (x + 3) + 1 + 9
g (x) = (x ^ 2 + 3x + 3x + 9) + 1 + 9
g (x) = (x ^ 2 + 6x + 9) + 1 + 9
g (x) = x ^ 2 + 6x + 9 + 1 + 9
g (x) = x ^ 2 + 6x + 19
Answer:
the resulting function if the transformation f (x + 3) +9 is applied on the function f (x) = x ^ 2 + 1 is:
c) x ^ 2 + 6x + 19

As viewed from a cliff 340 ft above sea level a ship is 450 feet from the shore what is the angle of depression from the cliff to the ship on the water below

Answers

angle depression= angle of elevation
To get the angle of depression we use the formula:
tan x=opposite/adjacent
where x is the angle of elavation
opposite is the height of the cliff
adjacent is the distance of the ship from the shore
thus
tan x=340/450
tan x=34/45
x=arctan 34/45
x=37.07
hence the angle of elevation= angle of depression=37.1°

Solve the equation. Show all steps and work. Then check your answers (show all work). Finally, write the solution set.
x+1=√9x-11

Answers

Hello,
[tex]x+1=\sqrt{9x-11}\\ (x+1)^2=9x-11\\\ x²+2x+1-9x+11=0\\ x^2-7x+12=0\\ x²-4x-3x+12=0\\ x(x-4)-3(x-4)=0\\ (x-4)(x-3)=0\\ x=4\ or\ x=3 [/tex]

Sol={3,4}

(4,3) is the required solution set for the given equation

Given equation is x+1=√9x-11

Thus solving above equation for x :

[tex]x+1=\sqrt{9x-11}\\[/tex]

Squaring throughout we get,

[tex](x+1)^{2} =9x-11\\x^{2} +2x+1=9x-11\\x^2+2x-9x+1+11=0\\x^2-7x+12=0\\x^2-3x-4x+12=0\\x(x-3)-4(x-3)=0\\(x-4)(x-3)=0\\[/tex]

Thus we get :

Either (x-4) = 0 or (x-3) = 0

Thus we have x = 4 or x = 3

Hence x = 4 or x = 3 is the solution set

f(x) = 2x2 – 4x – 3

0 = 2x2 – 4x – 3

3 = 2(x2 – 2x)

3 + 1 = 2(x2 – 2x + 1)

4 = 2(x – 1)2

2 = (x – 1)2

± = x – 1

1 ± = x

Mica is solving for the zeros of a quadratic function by completing the square. Her work is shown. What error did Mica make?

ANSWER CHOICES
Mica should have set each x = 0 instead of f(x).
Mica should have added 2 to 3 instead of 1.
Mica should have multiplied both sides by 2 instead of dividing.
Mica should have subtracted 1 from both sides instead of adding.

Answers

mica should have added 2 to 3 instead of 1

Answer:

Mica should have added 2 to 3 instead of 1.

Step-by-step explanation:

f(x) = 2x^2 – 4x – 3

0 = 2x^2 – 4x – 3

Mica added 3 on boths sides and factored out 2

3 = 2(x^2 – 2x)

We have 2 outside the parenthesis , so we multiply 1 with 2 and add it one left side

3 + 1 = 2(x^2 – 2x + 1) Error in this step

The above step becomes 3 + 2 = 2(x^2 – 2x + 1)

Mica should have added 2 to 3 instead of 1.

The circle above has a radius of 9 cm. What is the area of the circle?

(Use PI = 3.14)

Answers

3.14*9^2=254.469

answer: 254.469

The meaning of the area is the measurement of a surface in this case a circle, which can be find by using the formula A=πr^2, where r is equal to the radius of the circle.

On this exercise is given that the radius of the circle is 9 cm and it is asked to find its area and use 3.14 as the value of π. Therefore, to find the area of the circle you should substitute the value of the radius and the value of pi into the formula A=πr^2.

A=πr^2
A=(3.14)(9)^2
A=(3.14)(81)
A=254.34

The area of the circle is 254.34 cubic centimeters.

What is 43.29 rounded to the nearest 10th

Answers

Hello,

The answer is "40.30".

Reason:

First you fine the tenths place:

43.29

Then look at the number next to it:

43.29

Its greater than 5 therefore it does round:

=40.30

If you need anymore help feel free to ask me!

Hope this helps!

The number 43.29 rounded to the nearest tenth place is 43.3

name the sine, cosine, and tangent of angle a in the figure below

Answers

check the picture below.

now, we can simplify all those to

[tex]\bf cos(A)=\cfrac{24}{12\sqrt{5}}\implies \cfrac{2}{\sqrt{5}}\quad \stackrel{rationalizing~it}{\implies }\quad \cfrac{2\sqrt{5}}{5} \\\\\\ sin(A)=\cfrac{12}{12\sqrt{5}}\implies \cfrac{1}{\sqrt{5}}\quad \stackrel{rationalizing~it}{\implies }\quad\cfrac{\sqrt{5}}{5} \\\\\\ tan(A)=\cfrac{12}{24}\implies \cfrac{1}{2}[/tex]

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

i think it is c but i don't know if I'm right

PLEASE ANSWER
This graph shows a portion of an odd function. Use the graph to complete the table of values.

Answers

Answer:

The complete table is shown below.

Step-by-step explanation:

The given function be represented by f(x).

Since, the function f(x) is an odd function.

So, [tex]f(-x)=-f(x)[/tex].

On substituting the values of x, we get,

[tex]f(-2)=-f(2)=-2[/tex]

[tex]f(-3)=-f(3)=-1[/tex]

[tex]f(-4)=-f(4)=-2[/tex]

[tex]f(-6)=-f(6)=-3[/tex]

Thus, the corresponding table is given by,

x f(x)

-2 -2

-3 -1

-4 -2

-6 -3

Answer:

x f(x)

-2 -2

-3 -1

-4 -2

-6 -3

Step-by-step explanation:

edge 2020

X^2/ 100 + Y^2/ 25 =1
(x squared over 100 plus y squared over 25 equals 1)
The y-intercepts are at:

(-10, 0) and (10, 0)
(0, 10) and (0, 5)
(0, -5) and (0, 5)

Answers

The y-intercepts are at (0, 5) and (0, -5).

Every y-intercept has an x-coordinate of 0. Substituting 0 in for x we have:

[tex]\frac{0^2}{100}+\frac{y^2}{25}=1 \\ \\0+\frac{y^2}{25}=1 \\ \\\frac{y^2}{25}=1 \\ \\y^2=25 \\\sqrt{y^2}=\sqrt{25} \\y=\pm5[/tex]

ASAP PLEASE:

Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and diameter. Name a minor arc and a major arc.

Answers

Green line is diameter
Blue line is a secant
Red is radius
the top purpulish pink is tangent
the one from C to A is chord
minor arc would be AD
point of tangency is the yellow point

PLEASE HELP ASSSAAAPPPPP

Answers

B. would be your answer, I'm almost 100% sure.

Brainliest?
It would mean a lot!

What is 60% of 60? need help with this one can some one show me how to do it?

Answers

If we want to find 60% of 60, we can solve by multiplying 60 by 0.6.

60 x 0.6 = 36

If we wanted to do it another way, we could multiply 60 by 0.5 and 0.1 seperately and add those numbers up.

You're looking for a number [tex]x[/tex] such that

[tex]\dfrac x{60}=\dfrac{60}{100}=60\%[/tex]

Multiply both sides by 60, so that

[tex]\dfrac{60x}{60}=\dfrac{60^2}{100}\implies x=\dfrac{3600}{100}=36[/tex]

Another way of doing it: you can easily find that 10% of 60 is 6. Then 60% would be 6 times 10%, and 6 times 6 is 36.

30 Points! Please Help!

Please explain your answer.

Answers

Easy sin is opposite over hypotenuse
Cos is adjacent over hypotenuse tangent is sin over cos and cotangent is cos over sin

All four functions below are quadratic functions. Which function has the greatest maximum value? Answer options attached in pictures. (10 points!!)

Answers

There are no pictures?

A kite has a height of 36 inches and a width of 30 inches. Explain how to use the area formula for a triangle to find the area of the kite.

Answers

Height of the kite is = 36 inches.

Width of the kite is = 30 inches

One of the ways to find the area is to draw a vertical line to break the kite into two equal triangles. Mark the base as 36 inches and height as 15 inches .

Now we will use the formula [tex]area=\frac{1}{2}*base*height[/tex] to find the area of each triangle. Then we will add both the areas to find the area of the kite.

Area of 1 triangle = [tex]\frac{1}{2}*36*15[/tex] = 270 square inches

Area of the 2nd triangle is also = 270 square inches

Hence, area of the kite = 270+270 = 540 square inches

The area of the kite is 540 square inches

The dimension of the rectangle is given as:

Height = 36 inches. Width = 30 inches

The area of the kite is then calculated using:

[tex]Area = \frac 12 \times (Height \times Width)[/tex]

Substitute values for Height and Width

[tex]Area = \frac 12 \times (36 \times 30)[/tex]

Evaluate the expression in bracket

[tex]Area = \frac 12 \times 1080[/tex]

Evaluate the product

[tex]Area = 540[/tex]

Hence, the area of the kite is 540 square inches

Answers

check the picture below.

now, clearly the longest side is MP, and for a triangle to be an isosceles, it has to have two equal sides, so two sides must be twins.

since MP is the longest one, that only leaves out NP and NM, are they twins?

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &N&(~ 7 &,& -2~) % (c,d) &P&(~ 2 &,& 10~) \end{array}\\\\\\ % distance value d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ NP=\sqrt{[2-7]^2+[10-(-2)]^2}\implies NP=\sqrt{(2-7)^2+(10+2)^2} \\\\\\ NP=\sqrt{(-5)^2+12^2}\implies NP=\sqrt{25+144}\implies \boxed{NP=13}[/tex]

and now let's check NM

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &N&(~ 7 &,& -2~) % (c,d) &M&(~ -5 &,& -7~) \end{array}~~~ \\\\\\ NM=\sqrt{[-5-7]^2+[-7-(-2)]^2}\\\\\\ NM=\sqrt{(-5-7)^2+(-7+2)^2} \\\\\\ NM=\sqrt{(-12)^2+(-5)^2}\implies NM=\sqrt{144+25}\implies \boxed{NM=13}[/tex]

My graphing program shows two of the side lengths are the same.

ΔMNP IS isosceles.

Drake wants to save $750 so that he can take a class on computer analysis for cars. The class is being held on various dates over the next several months. Drake is planning to take the class 6 weeks from now, so he plans to save $125 each week. Unfortunately, Drake had to take out a little money from his savings in the 3rd week. After 4 weeks, Drake has $470. He knows that he must adjust his plan in order to meet his goal. Drake came up with the following options: Option A: Stay with saving the original amount each week but take the class a week later than originally planned. Option B: Increase the amount of money he saves each week by $15 from his original plan. Which of the following is a true statement? a. Only option A will allow him to meet his goal. b. Only option B will allow him to meet his goal. c. Both options A and B will allow him to meet his goal. d. Neither option A nor option B will allow him to meet his goal.

Answers

The answer here is C. both options will allow him to meet his goal. hope this helped

answer- C

total money required = 750

total money saved = 470

weeks left = 2

money earned in each week = 125

money earned in 2 weeks = 250

470 + 250 = 720( so, drake is short of 30 )

option A- by postponing the classes for 1 week, he will earn 125 more, so it is an option to meet his goal as 125>30

option B- by increasing the savings by 15 for two weeks, he will save 30 more which is the amount drake needs. so , it is also a good option

Which function represents a line with a slope of −4 and a y-intercept of −2?
A) y = 4x − 2
B) y = −4x + 2
C) y = −4x − 2
D) y = −2x − 4

Answers

The correct answer is C) y = -4x - 2.

Answer:

C) [tex]y = -4x - 2[/tex]

Step-by-step explanation:

The general equation of a line in the xy plane is as follows:

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

where [tex]m[/tex] is the slope of the line, and [tex]b[/tex] is the intercept with the y axis.

In this case we want a line with a slope of -4, therefore:

[tex]m = -4[/tex]

and we also want a y-intercept of -2, so:

[tex]b = -2[/tex]

Substituting in the general equation of the straight line:

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

⇒[tex]y = -4x-2[/tex]

wich is option C

If Martha earns $3.25 per hour for babysitting, how much will she earn in: 1.5 hours? 2.5 hours? 3.5 hours?

Answers

IF MARTHA EARNS 3.25/HOUR FRO BABYSITTING (SHE IS UNDERPAID!)
IN 1.5 HOURS=3.25*1.5=4.88 DOLLARS
IN 2.5 HOURS=3.25*2.5=8.13 DOLLARS
IN 3.5 HOURS=3.25*3.5=11.38 DOLLARS

Martha in:

1.5 hours will make: $4.88

2.5 hours will make: $8.13

3.5 hours will make: $11.38

The result of rounding the whole number 53,679,012 to the nearest millions place is: 53,000,000. 50,000,000. 53,600,000. 54,000,000.

Answers

To round it to the nearest millions place it would be 54,000,000

Final answer:

The number 53,679,012 rounded to the nearest million is 54,000,000. The digit in the hundred thousands place determines whether to round up or down. In this case, since it's a 6 (which is >= 5), we round up.

Explanation:

Rounding Whole Numbers to the Nearest Million

To round the whole number 53,679,012 to the nearest million, we need to look at the digit in the hundred thousands place, which is 6. Since this digit is 5 or greater, we round up. Therefore, we increase the digit in the millions place by one, giving us 54,000,000 as the rounded number to the nearest million.

For example, consider another number like 52,700,000. Using the same rounding principle, since the digit in the hundred thousands place is 7, which is greater than 5, we would round up to 53,000,000.

When rounding large numbers, the key is to look at the digit immediately to the right of the place value you are rounding to. If this digit is 5 or higher, you round up, and if it is 4 or lower, you round down.

Sean has $65 to spend on CDs. If each CD costs $6.98, about how many CDs can he buy?

Answers

Sean can buy nine CD's at 6.98. plus taxs.

Answer:

9 (did it on college board)

Step-by-step explanation:

Choose the correct simplification of the expression (a2)3. a5 a8 a a6

Answers

your answer is the last choice

Answer:

The correct answer is A to the 6th power, A^6

Step-by-step explanation:

First, apply the exponent rule. (a^b)^c = a^bc

You would get a^2*3 (* means times) (^ means to the power)

Second refine.

You would get A^6.

The answer is A^6.

The museum of science in boston estimated that 64% of all visitors came from within the state. on sunday, 2,500 people attended the museum. how many attended the museum from out of state?

Answers

Percentage of visitors who come from with in the state is 64%
Percentage of visitors who come from outside will be (100-64)=36%
The total number of attendees is 2500
the total number of of people who came from outside the state will be:
36/100×2500
=900 visitors

Final answer:

First, calculate the number of attendees from within the state by multiplying the total by 64% to get 1,600 people. Subtract this from the total to find the number of out-of-state attendees, 900 people.

Explanation:

This is a problem of percentage utilization and subtraction. First, we must determine the number of in-state attendees by multiplying the total number of attendees (2500 people) by the given percentage of in-state visitors (64%).

So, 2500 people x 0.64 = 1600 people.

These are the people who attended from within the state. To find out how many visitors came from out of state, we subtract this number from the total: 2500 people - 1600 people = 900 people. Therefore, 900 people attended the museum from out of state on Sunday.

Learn more about Percentage utilization here:

https://brainly.com/question/32194476

#SPJ12

It costs $3.15 for a pack of 15 pencils.Find the unit price in dollars per pencil.If necessary, round your answer to the nearest cent.

Answers

For this case what you should do is divide the total cost between the number of pencils.
We have then that the unit price is:
P = (3.15) / (15)
P = 0.21 $ / pencil
Answer:
The unit price in dollars per pencil is:
P = 0.21 $ / pencil

Write an expression to represent: The sum of ten and the quotient of a number x and 6.

Answers

Let us break it down. A sum of ten. That is just

+10

Then, we will add that to the quotient (which is the number after dividing) of a number x and 6. We can write that as

+ x/6

The slash means division here. Thus your final answer is

10 + x/6

Other Questions

solve for x: 7/8-1/x=3/4x = 1x = 2x = 4x = 8 The nurse is assessing a patient who is malnourished and has a history of poor nutrition. the patient reports difficulty seeing at night. this patient is likely to be deficient in which fat-soluble vitamin? 1. The center of a circle is located at (5, 5) . The radius of the circle is 3.What is the equation of the circle in general form? x^2+y^2+10x10y+47=0 x^2+y^2+10x10y+41=0 x^2+y^210x+10y+47=0 x^2+y^210x+10y+41=0 2.The standard form of the equation of a circle is (x5)2+(y6)2=1.What is the general form of the equation?x^2+y^210x12y62=0x^2+y^2+10x+12y+62=0x^2+y^210x12y+60=0x^2+y^2+10x+12y+60=0 According to house's path-goal leadership theory, a manager who __________ is showing a supportive leadership stylea.uses subordinates' suggestions in making decisions.b.lets subordinates know what performance is expected.c.treats subordinates as equals and acts friendly toward them.d.urges subordinates to perform at their highest level.e.consults with subordinates before making job changes. Will give brainliest answer if correct.SELECT ALL THAT APPLY! The countries on the Horn of Africa enjoy what advantages? being close to shipping lanes great mineral wealth being near South Asia and Europe proximity to Middle Eastern oil temperate climate Chen can jump rope 60 times a minute at that rate how many jumps can he make in 9 minutes Before cell reproduction or mitosis can proceed, what is the correct sequence of steps that must first occur?a.chromosome replication, chromosome checking and repair, growthb.growth of cytoplasm, duplication of cellular organelles, chromosome replicationc.replication of chromosomes, growth, duplication of cellular contents and organellesd.growth, duplication of cell organelles, chromosome replication, repair of chromosomal errors why a group taking a vote on something is an example of a direct democracy 2.3, 3.2, 4.1, 5.0 what is the next who numbers in the problem GIVING BRAINLIEST TO THE FIRST RIGHT ANSWER!!!! The following is the correct way to show the product for 0.453 8.1: True False Explain the term contrapasso. To what does this term refer? What purposes does it serve within the text of Inferno? Your answer should be at least 250 words. Criminal law deals with harm to _______, whereas civil law involves harm to _______. This is an observable trait of an organism that can mask the recessive trait. What number should be placed in the box to help complete the division calculation? Mark's father travels 463 miles every month for his job. How many miles does he travel in 8 months? The supply and demand curves reflect data for a specific brand of sunglasses. Which circumstance best explains the shift of the demand curve from D to D1?a. An ad campaign highlights the sustainable resources used to make the sunglasses.b. Consumer reports indicate that the sunglasses break easily.c. Fuel costs increase, making it more costly to produce the sunglasses.d. Tax incentives encourage the producer to hire more workers. Gregor Mendel determined that some tall pea plants carried the dominant gene TT, while dwarf pea plants carried the recessive gene tt.Part A: Draw a Punnett square showing the possible genotypes for the first generation of offspring.Part B: What percent of plants in the first generation will be dwarf pea plants? The junior class has 50 students. Twenty-five students take only french, 15 take only Latin, and 10 take both. If a student is chosen at random from the class, what is the probability that the student takes latin?A.)1B.)1/2C.)1/4 why are there seasonsA. earth revolves around the sunB. earth rotates on its axis C. earths axis titled D.the moon revolves around earth What is the value of c such that x2 + 10x + c is a perfect square trinomial?