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bija089 [108]
4 years ago
15

Find an equation of a line that is parallel to y = 3x - 9 and passes through the point (1, 1). *

Mathematics
1 answer:
rosijanka [135]4 years ago
8 0

Answer:

y=3x-2

Step-by-step explanation:

For this problem, you can use the point-slope formula: y-y1=m(x-x1), with x1 and y1 being from the given coordinate, and m being the slope (which is 3 that can be seen in the equation). Since we're finding a line that is parallel to this line, the slopes of both equations are the same.

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

y-1=3x-3

y=3x-2

Check:

(1)=3(1)-2

1=3-2

1=1

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For each ordered pair, determine whether it is a solution to the system of equations.
uysha [10]

Answer:

If the question is asking for a solution for both, then only point (0,2)

Point (0,2) is a solution to both equations

Point (5,3) is a solution to neither (meaning not any of the equations)

Point (-2, 16) is not a solution to the<u> first equation</u>, but is to the <u>second</u>

Point (-4, -9)<u> is a solution</u> to the first, but <u>not </u>to the second.

Step-by-step explanation:

Using the Property of substitution. 7x-4y=8

(0,-2)

7(0)-4(-2)=8

7(0)=0

-4(-2)=8

0+8=8

This solution is true.

(5,3)

7(5)-4(3)=8

7(5)=35

-4(3)=-12

35-12=23 (not 8)

This solution is not true.

(-2,16)

7(-2)-4(16)=8

-14-64=-78 (not 8)

This solution is not true.

(-4,-9)

7(-4)-4(-9)=8

-28+36=8

This solution is true

__________________________________________________________

Y=-9x-2

(0,-2)

-2=-9(0)-2

-9(0)=0-2=-2

-2=-2

This solution is true

(5,3)

3=-9(5)-2

-45-2=-47

3=-47

This solution is not true

(-2,16)

16=-9(-2)-2

16=18-2

16=16

This solution is true.

(-4,-9)

-9=-9(-4)-2

-9=36-2

-9=34

This solution is not true.

4 0
4 years ago
A computer prints out 1,000 characters every 3 seconds. If there are approximately 3,300 characters on a page the how many secon
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49.5 seconds?
3300 x 5 = 16,500
16,500 / 1000 = 16. 5
16.5 x 3 = 49.5

4 0
2 years ago
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Which of the following is false? the cost to mail an envelope and the weight of the envelope is a positive correlation amount of
inysia [295]
"The amount of exercise and the percent of body fat is a negative correlation" is false.
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4 years ago
The following ordered pairs form polygon WXYZ:
djverab [1.8K]
It's c.  ZY have the same y and WX have the same y value. so they'll never touch
8 0
3 years ago
If £25 = 650 rubles, how many £ are in 780 rubles?
masya89 [10]

Answer:

30

Step-by-step explanation:

25£ : 650 rubles

x£ : 780 rubles

25/x = 650/780

(cross multiply)

650x = 25×750

650x = 18 750

divide 18 750 by 650

which is = 30

thus x = 30

3 0
3 years ago
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