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4 years ago

What are the coordinates of the x-intercept and y-intercept of the line -3y-x=-9

Mathematics

1 answer:

PIT_PIT [208]4 years ago

8 0

Answer:

Step-by-step explanation:

The x-intercept exists when y = 0; the coordinate takes on the form ( , 0)

The y-intercept exists when x = 0; the coordinate takes on the form (0, ).

We will fill in the blanks in a sec.

If the x-intercept exists when y = 0, then we fill in 0 for y and solve for x:

-3(0) - x = -9 so

-x = -9 and

x = 9

The coordinate is (9, 0) for the x-intercept.

If the y-intercept exists when x = 0, then we fill in 0 for x and solve for y:

-3y - 0 = -9 so

-3y = -9 and

y = 3

The coordinate is (0, 3) for the y-intercept.

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3 years ago

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timurjin [86]

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Step-by-step explanation:

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2 years ago

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Kay [80]

Answer:

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Step-by-step explanation:

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3 years ago

HELP DUE IN 10 MINS!

Scilla [17]

Answer:

$\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi$

Step-by-step explanation:

Area of a circle with radius $r$ : $r^2\pi$

Circumference of a sector with radius $r$ : $2r\pi$

Area of sector with angle $\theta$ : $r^2\pi\cdot \frac{\theta}{360}$ .

Arc length of sector with angle $\theta$ : $2r\pi\cdot \frac{\theta}{360}$

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Area of circle: $27^2\pi=729\pi$

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Arc length of sector: $2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi$

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3 years ago