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2 years ago

1) If y=4 when x= -2, find x when y= -5

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

8 0

1) x = 2.5 when y = -5

2) x = 0.25 when y = - 1

<u>Solution:</u>

Given that , we have to use direction variation formula.

Now, we know that, direct variation formula is y = kx, where k is proportionality constant.

1) If y=4 when x= -2, find x when y= -5

Put y = 4 and x = -2 in y = kx

4 = k(-2)

k = - 2

Then, when y = -5

-5 = (- 2)x

x = 5/2

x = 2.5

2) If y=20 when x = -5, find x when y= -1

Put y = 20 and x = -5 in y = kx

20 = k(-5)

k = - 4

Then, when y = -1

-1 = (- 4)x

x = 1/4

x = 0.25

Hence, 1) x = 2.5 when y = -5 and 2) x = 0.25 when y = - 1

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Answer:

See explanation

Step-by-step explanation:

16. Two parallel lines are cut by transversal. Angles with measures $(6x+20)^{\circ}$ and $(x+100)^{\circ}$ are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:

$6x+20=x+100\\ \\6x-x=100-20\\ \\5x=80\\ \\x=16$

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18. Two parallel lines are cut by transversal. Angles with measures $(6x-7)^{\circ}$ and $(5x+10)^{\circ}$ are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:

$6x-7=5x+10\\ \\6x-5x=10+7\\ \\x=17$

Then

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