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a_sh-v [17]
2 years ago
8

Five the equation of line that is perpendicular to f(x)=-2x+1 that goes through point (0,5)

Mathematics
1 answer:
Alinara [238K]2 years ago
7 0

Answer:

y = \frac{1}{2} x + 5

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 )

f(x) = - 2x + 1 ← is in slope- intercept form

with slope m = - 2

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

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-2} = \frac{1}{2} , then

y = \frac{1}{2} x + c

the line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = \frac{1}{2} x + 5 ← equation of perpendicular line

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Show work please thank you
kaheart [24]
The easiest way to solve this is to divide the shape into 2 rectangles.

The first rectangle being the big one on the left with the 12 and 6
and the second one being the little one on the right, next to it with the 5

So 12 x 6 = 72 (dont pay attention to the 7, 5, or 10, because all we need is 1 length and 1 width)

And for the smaller one it is a little bit trickier.

So on the bottom we see that is says 10ft, but we cant use that because what we really need is the measurement between the 5 and 7 on the top of the little rectangle

At the top we see that it says 6ft

We can do 10-6 to find the missing measurement.

Because the length of the whole like is 10, and the length of one of the little lines is 6, so the length of 6 + some number =10

So 10-6 = 4

Which means the number we need is 4

So now we have 5 x 4 = 20

72 + 20 = 92

Answer: 92

I also attatched an image, I hope this helps! Ask me if you have any other questions about this problem!

7 0
3 years ago
Select the correct answer.
lesya692 [45]

Answer:

The Answer is A. slope = 1.5 and y-intercept = -2

Step-by-step explanation:

In y=mx+b form b represents your y-intercept and m (or the number next to the x) is your slope

6 0
3 years ago
Which equation represents the line shown in the graph below?
likoan [24]

The answer is y=2x+5


To get it use point slope by taking two points and solving .


Slope formula


M= y2-y1/x2-x1


With two points


(0,5)(-5,-5)


M= -5-5/-5-0

M= -10/-5

M=2


2 is slope


Now get one of the points

(0,5) And slope to create equation y=mx+b . Now find b


5=2(0)+b

5=b


So now you can put it all together


Y= 2x+5

3 0
3 years ago
Which graph represents the function f (x) = 3 x minus 2 Over x minus 2?
RSB [31]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
The 2021 senior trip is scheduled to be in Orlando Florida at the new Disney world theme park. Marcus has been saving his lunch
miskamm [114]

Answer:

He made seven A's.

Step-by-step explanation:

360-220=140

140/20=7

3 0
3 years ago
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