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kari74 [83]
3 years ago
7

Please help me branniest Any answer without proof will be reported

Mathematics
1 answer:
Flura [38]3 years ago
3 0

Choice B is correct. The two lines cross at (2,-3)

As algebraic proof, you can plug in (x,y) = (2,-3) into each equation and verify like so

y = 2x-7

-3 = 2(2) - 7 ... replace x with 2, y with -3

-3 = 4 - 7

-3 = -3 .... true equation

Repeat for the second equation

y = -x-1

-3 = -2-1 .... replace x with 2, y with -3

-3 = -3 ... true equation

both equations are true when (x,y) = (2,-3) so the solution to the system has been confirmed.

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Artyom0805 [142]

4x was subtracted from both sides. Then, -8 was divided from both sides. Lastly, 1/2x was placed in front of -2.

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3 years ago
Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the point and parallel to the line.
ch4aika [34]

Answer: y = 2x

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = 2x - 8

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2

To determine the intercept, we would substitute m = 2, x = - 3 and

y = - 6 into y = mx + c. It becomes

- 6 = 2 × - 3 + c

- 6 = - 6 + c

c = - 6 + 6 = 0

The equation becomes

y = 2x

7 0
3 years ago
Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.
sammy [17]

Answer:

The scale factor is ( 1/3)

The dilation is reduction

Step-by-step explanation:

k =  \frac{1}{3}

I hope that is useful for you :)

6 0
3 years ago
Quadrilaterals ABCD and WXYZ are congruent.
horrorfan [7]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A vehicle moving at the speed of t
vampirchik [111]

Hi,

Formula for distance is:

d = v·t, where v is the velocity (a constant value, measured in m/s), and t is time of movement, measured in s, seconds.

1 km = 1000 m, and 1 h = 3600 seconds, therefore:

v = 120 km/h = 120 000 / 3600 m/s = 33.33 m/s, so v = 33,33 m/s.

t = 24 seconds.

d = v·t = 33,33 m/s · 24 s = 100·24/3 = 800 m.

So, building is 800 meters long.

Have you understood the solution ?

Green eyes.

8 0
3 years ago
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