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Tasya [4]
3 years ago
11

Passing through point (4, 9) and perpendicular to the line y= -1/5x -3

Mathematics
1 answer:
Ratling [72]3 years ago
6 0

Answer:

y = 5x-11

Step-by-step explanation:

The slope intercept form of a line is y =mx+b where m is the slope

y = -1/5 x-3

The slope is -1/5

Lines that are perpendicular have negative reciprocal slopes

-1 /(-1/5)

-1 * -5/1

5

The slope of the line that is perpendicular is 5

y=5x+b

Using the point (4,9)

9 = 5(4)+b

9 = 20+b

9-20 =b

-11

y = 5x-11

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Write the equation of the line perpendicular to y = -3/4x that passes through the point (3,-8)
arlik [135]

Answer:

y = \frac{4}{3} x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{3}{4} x ← is in slope- intercept form

with slope m = - \frac{3}{4} , c = 0

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{3}{4} } = \frac{4}{3} , then

y = \frac{4}{3} x + c ← is the partial equation

To find c substitute (3, - 8) into the partial equation

- 8 = 4 + c ⇒ c = - 8 - 4 = - 12

y = \frac{4}{3} x - 12 ← equation of perpendicular line

4 0
3 years ago
Geometry picture added
Nikitich [7]
X and Z equal 72
Y equals 108.

This is because y and 108° are vertex angles meaning they are both equal to each other. X is 72 because it’s form a supplementary angle with 108°. So what I did to find x is I subtracted 108 from 180 to get 72°. Then I know x and z are vertex angles meaning that z is also equal to 72°
5 0
3 years ago
PLEASE ANSWER THIS GET BRAINLIEST IF YOUR ANSWER IS CORRECT AND 50 POINTS I'm gonna upload the rest on my next question
kondaur [170]

Answer:

1.  24 cubic units

2.  180 cubic units

3.  1/16 cubic units

Step-by-step explanation:

<u>Question 1</u>

Volume of a rectangular prism = width × length × height

                                                   = 3 × 4 × 2

                                                   = 12 × 2

                                                   = 24 cubic units

<u />

<u>Question 2</u>

Volume of a rectangular prism = width × length × height

                                                   = 5 × 12 × 3

                                                   = 60 × 3

                                                   = 180 cubic units

<u>Question 3</u>

Volume of a rectangular prism = width × length × height

                                                   = 1/4 × 1/2 × 1/2

                                                   = 1/8 × 1/2

                                                   = 1/16 cubic units

4 0
2 years ago
Read 2 more answers
What is 18% of 700? Enter your answer in the box.
ella [17]
18% of 700 is 126     .18x700=126
4 0
3 years ago
Read 2 more answers
The diffrence between 2 numbers is 1 and their product Is 132
il63 [147K]

Answer:

x = 12

y = 11

For any clarification, Please contact me in the comment section :)

I Hope It Helps .

Step-by-step explanation:

Let -the-unkonown- numbers-be-x-and-y \\x-y = 1       (1)\\xy = 132    (2)\\Make-x-subject-of-formula-in-equation1 \\x = 1+y\\Substitute , 1+y  for- x -in -equation ,2\\y(1+y) = 132\\y + y^{2} =132\\y^{2} +y-132=0\\Solve- the-quadratic-equation.\\y = 11\\substitute- 11 -for- y- in- equation -1- 0r- 2\\x -y = 1\\x-11 = 1\\x = 1+11\\x = 12

6 0
4 years ago
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