1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
USPshnik [31]
3 years ago
13

Which equation represents a line that is perpendicular to line PQ?

Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

B. y=1/3x+4

Step-by-step explanation:

Hi there!

We are given the line PQ and we want to find the line that is perpendicular to it

Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So first, let's find the slope of the line PQ

The point P is given as (-8, 7) and the point Q is given as (-4, -5)

The formula for the slope calculated from two points is \frac{y_2-y_1}{x_2-x_1} where (x_{1} y_1) and (x_2, y_2) are points

We have the needed information for the slope, but let's label the values of the points to avoid any confusion

x1=-8

y1=7

x2=-4

y2=-5

Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):

m=\frac{(-5-7)}{(-4--8)}

simplify

m=\frac{-5-7}{-4+8}

add

m=-12/4

divide

m=-3

So the slope of the line PQ is -3

As said above, perpendicular lines have slopes that have a product of -1

So to find the slope of the line perpendicular to PQ, use this formula:

-3m=-1

divide both sides by -3

m=1/3

The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.

Hope this helps!

You might be interested in
(a) What is 0.36 repeating 36 expressed as a fraction in simplest form? (b) What is 0.36 repeating 6 expressed as a fraction in
sweet [91]
A. 4/11
b. 11/30
c. 9/25
6 0
3 years ago
Read 2 more answers
Mrs. Ibarra wants to create a right triangle for a geometry test. She plans to use 15, 36, and 41 as side lengths.
barxatty [35]

Answer: A, C, D and E

Step-by-step explanation:

6 0
2 years ago
Select all ratios equivalent to 5:3.<br> 13:9<br> 9:15<br> 20:12
torisob [31]

Answer:

20:12

brainlest if it helped

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Can someone please help me on these two questions.
Valentin [98]
What are the questions
5 0
3 years ago
Sal Boxer decided to divide a gift of $5000 into two different accounts. He placed $1000 in an account that earns an annual simp
mash [69]

Answer:

THE TOTAL INTEREST EARNED = $ 385

Step-by-step explanation:

Interest earned by sal from first account can be calculated as follows :

Principal value (P)  =  $1000 .

interest rate (R)  =  7.5 % .

Time period (T) =  1  year .

\textbf{S . I} =\frac{\texbf{P * R * T}}{\textbf{100}}

        = \frac{1000 * 7.5 * 1}{100}

         = $ 75 .

SIMILARLY , we can find the intrest earned by rest amount.

Principal value (P) = $5000 - $ 1000 = $ 4000 .

Interest rate (R) = 7.75 % .

Time period (T) = 1 year .

S . I =  \frac{4000 * 7.75 * 1}{100}

      = $ 310 .

THE TOTAL INTEREST EARNED = $ 75 + $ 310

                                                       = $ 385

4 0
3 years ago
Other questions:
  • -16 = 4/3x -8 Solve please
    14·1 answer
  • Javier filled a measuring cup with 2/3 of a cup of vegetable oil. Then he poured 1/3 of a cup
    15·1 answer
  • Which is greater 2 miles or 3,333 yards
    7·2 answers
  • What is the quotient of 6 ÷ 1/3 =
    9·2 answers
  • When rounding to the nearest ten, what is is the least whole number that roundd to 840
    7·1 answer
  • PLEASE HELP WILL MARK BRAINLIST!
    5·2 answers
  • Age of car = 8 years. Original cost = $18,000. The cost of maintenance and repairs is $
    7·1 answer
  • If it takes Mr. French 22 min to get to school in the morning and he is traveling at a rate of 100 m per min how far is his hous
    7·1 answer
  • Im bo. re. d who wants to t.al.k
    9·2 answers
  • 4/10x - 2x + 8/5 = 4/5
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!