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2 years ago

K= 35.50x + 42 k=991x + 27

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

6 0

Answer:

k=42.5573 and x=0.015699

Step-by-step explanation:

Step: Solve k=35.5x+42for k:

k=35.5x+42

Step: Substitute 35.5x+42 for k in k=991x+27:

k=991x+27

35.5x+42=991x+27

35.5x+42+−991x=991x+27+−991x(Add -991x to both sides)

−955.5x+42=27

−955.5x+42+−42=27+−42(Add -42 to both sides)

−955.5x=−15

−955.5x

−955.5

−15

−955.5

(Divide both sides by -955.5)

x=0.015699

Step: Substitute0.015699 for x in k=35.5x+42:

k=35.5x+42

k=(35.5)(0.015699)+42

k=42.5573(Simplify both sides of the equation)

Hope this helps!

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The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.

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<h3>The Midpoint Formula</h3>

The midpoint formula is given as: $(x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )$

<em>Where</em>,

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$(x_1, y_1)$ = coordinates of the first point

$(x_2, y_2)$ = coordinates of the second point

Given the following:

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Solve for the x-coordinate and y-coordinate separately

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$6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}$

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