Find the missing side of the right triangle

Mathematics

1 answer:

vlada-n [284]2 years ago

6 0

Answer:

$a {}^{2} + b {}^{2} = c {}^{2} \\ b {}^{2} = \sqrt{c {}^{2} - a {}^{2} } \\ b = \sqrt{14 {}^{2} - 3 {}^{2} } \\ b = \sqrt{196 - 9} \\ b = \sqrt{187} \\ b = 13.7$

I hope this help

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Solve the equation for y. 6y+x=8

iVinArrow [24]

Answer:

The correct answer is $\bold{y = -\frac{1}{6}x+\frac{4}{3}}$ .

Step-by-step explanation:

We want to solve for y in the given equation. We can do this by rearranging the equation and using operational techniques to simplify.

$6y + x = 8 \ $\tex Subtract x from both sides of the equation.$

$6y + x - x = 8 - x \ $\tex Carry out the operation.$

$6y = 8 - x \ $\tex Rearrange so the equation lists the variables first and the constants second.$

$6y = -x + 8 \ $\tex Create a coefficient for the x-variable (this is -1).$

$6y = -1x + 8 \ $\tex Divide by 6 on both sides of the equation in order to isolate the y-variable.$

$\frac{6y}{6}=\frac{-1x}{6} + \frac{8}{6} \ $\tex Carry out this operation by simplifying the fractions and dividing out the operations accordingly.$

$y = -\frac{1}{6}x+\frac{4}{3} \ $\tex Be sure to verify that all fractions and terms are simplified as far as they can be and that the equation is written in proper syntax.$