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jekas [21]
1 year ago
13

What is an equation in point-slope form for the line perpendicular to y = 7x + 14 that contains (3, –7)?

Mathematics
1 answer:
umka21 [38]1 year ago
8 0

The equation of the perpendicular line is y + 7 = -1/7(x - 3)

<h3>How to determine the line equation?</h3>

The equation is given as

y = 7x + 14

Also, from the question

The point is given as

Point = (3, -7)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 7

This means that the slope of y = 7x + 14  is 7

So, we have

m = 7

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -1/7

The equation of the perpendicular lines is then calculated as

y = m(x - x₁) +y₁

Where

m = -1/7

(x₁, y₁) = (3, -7)

So, we have

y = -1/7(x - 3) - 7

Evaluate

y = -1/7(x - 3) - 7

Add 7 to both sides

y + 7 = -1/7(x - 3)

Hence, the perpendicular line has an equation of y + 7 = -1/7(x - 3)

Read more about linear equations at

brainly.com/question/4074386

#SPJ1

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Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7,2), and is parallel to the graph of x + 3y = -5
Gnoma [55]

The required simplified value of B - A = -6.

<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Since, line Ax + By = 3 and x + 3y = -5 are parallel than slope of both the line will be same,
m = -1/3 = -A/B
From above
A = B/3  - - - - -(1)


Now line Ax + By = 3 passed through the point (-7, 2). So,
-7A + 2B = 3
from equation 1
-7B/3 + 2B = 3
-B/3 = 3
B = -9
Now put B in equation 1
A = -9 / 3
A = -3

Here,
B - A = -9 + 3 = -6

Thus, the required simplified value of B - A = -6.

Learn more about simplification here: brainly.com/question/12501526

#SPJ1



7 0
1 year ago
A frozen pizza is on sale at a 25% discount. Find the sales price of the pizzas if it normally sells for $4.85.
bonufazy [111]
The best thing to do here is to divide $4.85 by 10, and then multiply it by 2.5. $4.85/10= $0.48. $0.48x2.5= $1.20 Therefore,the discount is $1.20, you've then got to subtract this from $4.85. $4.85-$1.20= $3.65 $3.65 is the sale price of the pizza. Hope this helps :)
4 0
3 years ago
Find the factors of 200m2 - 800n2.
leonid [27]

Answer:

Step-by-step explanation:

200m^2-800n^2=200(m^2-4n^2)

8 0
2 years ago
The combination for a lock is a 3-digit number. The digits are the prime factors of 42 listed from least to greatest. What is th
Dvinal [7]

Answer:

  2, 3, 7

Step-by-step explanation:

Since you know your multiplication tables, you know that ...

  42 = 6 × 7

and

  6 = 2 × 3

The numbers 2, 3, and 7 are prime numbers (not further divisible). This list is in order least to greatest, so is the combination of the lock.

3 0
3 years ago
FIRST PROPER ANSWER GETS BRAINLIEST ON TEST PLEASE HELP!!!
Irina-Kira [14]
Area of a semicircle = \pi r² / 2 
r= 5/2 = 2.5

So: A= 3.14 x 2.5² / 2  A = 9.8125 so rounding to the nearest hundredth is A=9.81
8 0
3 years ago
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