A system of equations is graphed on the coordinate plane.

Mathematics

2 answers:

8_murik_8 [283]3 years ago

7 0

Answer:

The solution is (x, y) = (-2, 0)
A graph is attached

Step-by-step explanation:

The graph shows the solution. The first equation has a y-intercept of -4 and a slope of -2, so will go through the point (-2, 0).

The second equation has a y-intercept of +4 and a slope of 2, so will go through the point (-2, 0).

Both equations have the same x-intercept, so that x-intercept is the solution to the system of equations.

Bezzdna [24]3 years ago

7 0

Answer:

(3, -2)

is the answer

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One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm

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One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

$\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}$

And now, 15 degrees is 11 times smaller than the other

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Hence, the given lines are parallel

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3 years ago

Nigel is planning his training schedule for a marathon over a 4-day period. He is uncertain how many miles he will run on two da

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Answer:

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Step-by-step explanation:

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