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2 years ago

Solve the equation. y 3 = –y 9 y = 1 y = 3 y = 6 y = 9

Mathematics

1 answer:

GaryK [48]2 years ago

7 0

The solution of the equation is y = 3.

<h3>What is the linear equation?</h3>

An equation between two variables that gives a straight line when plotted on a graph.

The solution to the equation is;

$\rm y + 3 = -y + 9\\\\y+y=9-3\\\\2y=6\\\\y=\dfrac{6}{2}\\\\y=3$

Hence, the solution of the equation is y = 3.

To know more about linear equations click the link given below.

brainly.com/question/14824234

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A circle has a sector with area 33 pi and a central angle of 11/6 pi radians. What is the area of a circle?

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Answer:

36π

Step-by-step explanation:

The area of a circle is given as:

$A = \pi r^2$

where r = radius of the circle

The area of a sector of a circle is given as:

$A_s = \frac{\alpha }{2\pi} * \pi r^2$

where α = central angle in radians

Since $\pi r^2$ is the area of a circle, A, this implies that:

$A_s = \frac{\alpha }{360} * A$

A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.

Therefore, the area of the circle, A, is:

$33 \pi = \frac{\frac{11 \pi}{6} }{2 \pi} * A\\\\33\pi = \frac{11}{12} * A\\\\=> A = \frac{33\pi * 12}{11}\\ \\A = \frac{396 \pi}{11} \\\\A = 36\pi$

The area of the circle is 36π.

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