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Andrej [43]
3 years ago
5

Line D passes through the points (1, 1) and (5, 6). What is the slope of a line perpendicular to Line D?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
5 0

Answer:

B -4/5

Step-by-step explanation:

The slope of line D is given by

m = (y2-y1)/(x2-x1)

    = (6-1)/ (5-1)

    =5/4

We want the slope of the line perpendicular

That would be the negative reciprocal

- (4/5)

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Solve the system of equations using substitution y=x-1 and y=-2x+5
pav-90 [236]
Since the two equations equal y, set them equal to each other.

x-1=-2x+5

From there, solve for x.

First get x on one side, by using the addition property of equality.

x-1=-2x+5
3x-1=5

Isolate x by adding 1.
3x=6

Lastly get x all by itself by dividing each side by 3.
x=2

You can now substitute your x-value, 2, into one of the equations (or both, if you wish; either one will result in the same answer.)

y=x-1
y=2-1
y=1

OR

y=-2x+5
y=-2(2)+5
y=-4+5
y=1

Final answer:
x=2 and y=1

Any questions or anything you would like me to clarify, feel free to ask :)
7 0
3 years ago
Kendra was asked to find the number of students who planned to attend the evening sympothy performance. She was told that 40 per
ch4aika [34]

Answer:

It's B

Step-by-step explanation:

4 0
3 years ago
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I need help fast
Pie
YZ since they are in the same spot in the cong statement
4 0
3 years ago
If angle 2 is 97 what is the measurement of angle 1
Angelina_Jolie [31]

Answer:

83

Step-by-step explanation:

The total angle of a flat line is 180. If you subtract the angle of 2 from 180 you get 83 which is the angle of 1.

8 0
3 years ago
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Please help me. I need how to do the problem too
MatroZZZ [7]

Answer: Choice A.  (8, 4)

==========================================================

Explanation:

Because x = 2y, we can replace every copy of x with 2y

Let's do so in the second equation

3x - 4y = 8

3(x) - 4y = 8

3(2y) - 4y = 8 .... x replaced with 2y; now let's isolate y

6y - 4y = 8

2y = 8

y = 8/2 ..... divide both sides by 2

y = 4

Use this y value to find x

x = 2y

x = 2*4

x = 8

So we have x = 8 and y = 4 pair together to get the answer (x,y) = (8, 4) which is choice A.

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3 years ago
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