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2 years ago

8. Write an equation for a line that is parallel to the given line and that passes through the given point.

Mathematics

1 answer:

stepan [7]2 years ago

8 0

Answer:

B. y = 5/2x - 14

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula y − y 1 = m (x − x 1 ) to find the line parallel to y = 5 /2 x − 10 .

y = 5 /2 x − 14 PARALLEL

...................................................................................................................................................

Find the negative reciprocal of the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line perpendicular to y = 5 /2 x − 10 .

y = − 2 /5 x − 157 /5 PERPENDICULAR

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Explain how to find the surface area of a can of fruit with a height of 80 mm and a diameter of 60 mm. Give the area in your exp

sdas [7]

Answer:

$S=6600\pi \text{ mm}^2$

$S\approx 20724 \text{ mm}^2$

Step-by-step explanation:

A can of fruit is geometrically a cylinder.

We are talking about the <u>surface area of a cylinder</u>:

$S=2\pi rh+2\pi r^2$

$\pi \approx 3.14$

$r: \text{radius}$

$h: \text{height}$

Factoring, we have:

$S=2\pi r (h+r)$

Calculating the surface area of the can of fruit:

$S=2\pi (30) (80+30)$

$S=2\pi (30) (110)$

$S=6600\pi$

$S\approx 20724 \text{ mm}^2$

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3 years ago

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3 years ago

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Answer:

Step-by-step explanation:

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