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3 years ago

The slope goes through (2,5) and (7,r) and equals 1/3 what is r

Mathematics

1 answer:

myrzilka [38]3 years ago

5 0

The fromula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have

$(2,\ 5);\ (7,\ r),\ m=\dfrac{1}{3}$

Substitute:

$\dfrac{r-5}{7-2}=\dfrac{1}{3}\\\\\dfrac{r-5}{5}=\dfrac{1}{3}\qquad|\text{cross multiply}\\\\3(r-5)=(5)(1)\qquad|\text{use distributive property}\\\\3r-15=5\qquad|\text{add 15 to both sides}\\\\3r=20\qquad|\text{divide both sides by 3}\\\\r=\dfrac{20}{3}$

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antoniya [11.8K]

Hello,
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Tcecarenko [31]

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The given expression is $\log (t-3)=\log (17-4 t)$

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The solution of the expression can be determined by solving the expression for t.

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Thus, Option A is the correct answer.

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3 years ago

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3 years ago

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dusya [7]

Answer:

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