Find the equation of the line that passes through (1, -2) and is perpendicular
to the line joining the points (4, 2) and (-1, 7).

O y = -x - 3
O y = -x + 3
O y = -x + 6
O y = x - 3

Find The Equation Of The Line That Passes Through (1, -2) And Is Perpendicularto The Line Joining The

Answers

Answer 1

Answer:

D. y = x - 3

Step-by-step explanation:

First, find the slope (m) of the line it is perpendicular to using the points of the line, (4, 2) and (-1, 7):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 - 2}{-1 - 4} = \frac{5}{-5} = -1 [/tex]

Thus, the slope (m) of the line that is perpendicular to the line that runs through (4, 2) and (-1, 7) would be the negative reciprocal of -1.

The slope (m) if the line that is perpendicular to the other line = 1

Thus, substitute m = 1 and (a, b) = (1, -2) into y - b = m(x - a)

y - (-2) = 1(x - 1)

y + 2 = x - 1

Subtract 2 from both sides

y = x - 1 - 2

y = x - 3


Related Questions

Answer this plzz
Can you try this question

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Answer:

1. unlikely

2. likely

Answer: 1: Unlikely and 2. Certain...  (nothing is impossible)

what two integers does square root of 7 fall between

Answers

it will fall between integers two and three

Answer:

2 and 3

Step-by-step explanation

ask a brainly question

A snow cone Machine priced at $139 is on sale for 20% off the sales tax rate is 6.75% what is the price of the snowcone machine after the discount and sales tax?

Answers

Answer:

100-20=80

80+ 6.75 = 86.75

139/100 X 86.75 = 120.5825

$120.58

What is 0.8 with an line on top written as a fraction?write you answer in the box.

Answers

Answer:

i think 8/1000

Step-by-step explanation:

The fraction is 8/9.

What is Rational Number?

Any number that can be expressed as a fraction and where the denominator (the bottom number) and the numerator (the top number) are both integers is considered a rational number.

We have the decimal is 0.8(bar).

let x= 0.888888....    (1)

Now, multiply above equation by 10

10x = 8.8888.....         (2)

Subtraction equation (1) and (2), we get

10x - x = 8.8888.... - 0.88888...

9x = 8

x = 8/9

Thus, the fraction is 8/9.

Learn more about Rational Number here:

https://brainly.com/question/24540810

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Joe, Kay and Liam share some money in the ratio 5 : 6 : 9

In total, Joe and Liam receive £56

Work out the amount of money Kay receives.
please help​

Answers

Answer:

Explanation:

5:6:9 ratio
Total joe and Liam receive 56£

So
14/20 = 56£
6/20 = x
X = 24£

And x is the amount Kay receive so Kay receive 24£

pslslslls help im giving extra points

Answers

Think your answer is $27,100.

The answer is b 29,810

Find the slope of the line passing through the points(-3, 7) and (2, -6).

Answers

Answer:

-13/5

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-6-7/2-(-3)

-13/5

Best of Luck!

What is the solution to the following system of equations:
7x + 2y = 24
8x + 2y = 30
A (6, -9)
B (5, -1)
C (-6,4)
D) Infinitely Many

Answers

Answer: A, (6, -9)

hope this helps:)

Use the second derivative test to find the relative extrema for f(x)=x^4-2x^2 + 3​

Answers

If f(x) = x ⁴ - 2x ² + 3, compute the first and second derivatives:

f'(x) = 4x ³ - 4x

f''(x) = 12x ² - 4

Solve f'(x) = 0 to get the critical points of f(x) :

4x ³ - 4x = 4x (x ² - 1) = 0

→   x = -1, x = 0, x = 1

Check the sign of the second derivative at each of these points:

f'' (-1) = 8 > 0

f'' (0) = -4 < 0

f'' (1) = 8 > 0

These indicate the presence of

• two minima of f (-1) = 2 and f (1) = 2

• one maximum of f (0) = 3

which makes C the correct answer.

pls help me 10 points

Answers

Answer : y


Explanation: hope this helps

Answer:

y

Step-by-step explanation:

To determine the x-intercept, we set y equal to zero and solve for x.

Trust me please.

Could anybody help me? I will give brainliest

Answers

the answer is 9 , now give that person a brainliest :>

X-(-5)=-4

What does x equal

Answers

Answer:

x = -9

Step-by-step explanation:

x - ( - 5 ) = - 4

Distribute the negative sign

x - ( - 5 ) = - 4

x + 5 = -4

Inverse operations;

x + 5 = -4

  -5     -5

x = -9

Answer:

-9

Step-by-step explanation:

X = -4 + (-5) = -9

You can always move elements of equality to the other side by changing either their signs or applying opposite operator: addition <-> subtraction, multiplication <-> division

The football team has a total of 50jerseys. There are 35 medium sized jerseys. What percent of the jerseys are medium sized jerseys?

Answers

Answer: 70%

Step-by-step explanation:

Total number of jersey = 50.

Total number of medium sized jersey = 35

The percent of the jerseys that are medium sized jerseys will be:

= Number of medium sized / Total number of jersey × 100

= 35 / 50 × 100

= 70%

are these triangle obtuse or acute using the pythagorean theorem?

Answers

Answer:

they are acute triangles and right triangles

Step-by-step explanation:

Which vectors represent the reflection of the vector across the x-axis?

Answers

Answer:

<3, 7> and [3 7], b and c

Step-by-step explanation:

multiply the vector by the matrix {1 0} (top row) {0 -1} bottom row. So you flip the sign of the -7 and this gives us +7.

What statement about the angles measures is true ( PLS HELP ME)

Answers

I think is B
I think is B

I do not know what to put and this was due yesterday

Answers

Answer:

Your answer will be x=2

Step-by-step explanation:

Five plus 6 times a number is equal to 21 minus 2 times the number

Your equation is this:

5+6x=21-2x

Subtract 6x from both sides

5+6x-6x=21-2x-6x

5=21-8x

subtract 21 on both sides

5-21=21-21-8x

-16=-8x    Divide -8 on both sides

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Ask a skateboarder a question

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What does the bottom of your board say ?

Are you good at surfing? Is it similar to skateboarding?

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Answer:

2. true

3. x=1

Step-by-step explanation:

it is going through the x axis

I think it’s (B) for Q3

round to the tenth number 5.1729

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Answer:

5.2

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

Hope it's right!

lightining strikes earth 1000 times per second how many times does it strike in 10 seconds

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Answer:

10,000

Step-by-step explanation:

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Answer:

x = -2

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

18 MB downloaded in 15
seconds

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Answer:

what?? what is your question

Step-by-step explanation:

Answer: 1.2

Step-by-step explanation: Simply divide 18 by 15, and you will get 18/15=1.2

HURRY!! BRAINLIEST IF RIGHT!!​

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I believe it’s be sorry if I’m wrong

Explain how to get the variable alone in the equation. 3x = 24​

Answers

Answer:

to get rid of the 3 on the x you have to divide it by 3. whatever you do to one side you have to do to the other side so the answer would be x=8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

To get the variable alone you would divide both sides by 3. You do this because 3 is a common factor that both 3 and 24 have. Once you divide 3 on each side, you have x = 8 as your final answer.

At a football game, a vender sold a combined total of 198 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold.

Answers

Answer: 132 sodas & 66 hot dogs

Step-by-step explanation: S=soda H=hot dogs

so 2s + h = 198

= 198 / 3 = 66

66 x 2 = 132 sodas

66 = number of hot dogs

Pls, help me if you are the smartest math person in your class!

Answers

Step-by-step explanation:

a. spending

b. john,60 collin,80

c. six

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e. COULDNT READ THAT QUESTION

f. on day two

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What is the y-intercept of the line?
YA
0
2
2.
-2
1
-2
DONE

Answers

Answer: 1

Step-by-step explanation:

Algebraic Basics

Answer:

the answer is 1

Step-by-step explanation:

i did this iready

Please help I’m very confused and I need help.

Answers

It’s d, bottom right

Just put the numbers in the equations provided and see if it equals to Y

Kai needs to replace the strip laminate that is glued to the vertical faces on a square tabletop. The tabletop is 1.69 m2. What length i laminate does he need

Answers

Area of a square = Side x Side (length x width)

A = 1.69 m²

Length = √area of square

L = √1.69 m²

L = 1.3 m

Check Work: 1.3² = 1.3 m x 1.3m

= 1.69 m²

Answer:

he needs 1.3 meters of laminate for the length

Step-by-step explanation:

area of a square = side multiplied by side (or length x width)

area = 1.69 m²

Length = √area of square

L = √1.69 m² or 1.3m

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