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Katarina [22]
3 years ago
13

1. y = -3x + 9 Find the slope and y-intercept on the graph of the linear equation.

Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0

Answer:

-3 = slope 9= y-intercept

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Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and notices that it just fits diagon
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Answer:

<h2>The cup can hold 240π cubic centimeters of water.</h2>

Step-by-step explanation:

Let's assume the cup is a cylinder. The pencil length is simulates a diagonal (hypothenuse), which forms a right triangle with the height of the cylinder and the diameter at the bottom. So, we apply Pythagorean's Theorem.

17^{2} =15^{2} + d^{2}

Solving for d, we have

289 - 225 = d^{2} \\d=\sqrt{64} \\ d=8

Therefore, the diameter of the cylinder is 8 centimeres, which means its radius is 4 centimeters by definition.

The volume of a cylinder is defined as

V= \pi r^{2} h

Where r is the radius and h is the height. Replacing values, we have

V= \pi \times 4^{2} \times 15 =\pi \times 16 \times 15\\V=240\pi \ cm^{3}

Therefore, the cup can hold 240π cubic centimeters of water.

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