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ExtremeBDS [4]
3 years ago
11

What two numbers multiply to -84 and add up to 17

Mathematics
1 answer:
allsm [11]3 years ago
4 0
The two numbers are 21 and -4 because 21×(-4)=(-84). And when you add 21+(-4) you get 17.
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A cylinder has a surface area of 5652 square millimeters. If the diameter of the cylinder is 30 millimeters, what is the height?
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The formula for the surface area of a cylinder is:

\sf A=2\pi rh+2\pi r^2

Plug in what we know, use 3.14 to approximate for pi(radius is half the diameter, 30/2 = 15):

\sf 5652\approx 2(3.14)(15)h+2(3.14)(15)^2

Simplify:

\sf 5652\approx 94.2h+1413

Subtract 1413 to both sides:

\sf 4239\approx 94.2h

Divide 94.2 to both sides:

\boxed{\sf h\approx 45~mm}

So the height is approximately 45 millimeters.
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3 years ago
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First One: Yes

Second One: No

Step-by-step explanation:

Direct Variation Formula: y=kx

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If AD is the altitude to BC, what is the slope of AD?
anygoal [31]

Answer:

Option (C)

Step-by-step explanation:

If AD is the altitude to BC, both the segments AD and BC will be perpendicular to each other.

By the property of perpendicular lines,

m_1\times m_2=-1

where m_1 is the slope of the line AD and m_2 is the slope of BC.

m_2=\frac{y_2-y_1}{x_2-x_1}

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m_1=\frac{5}{2}

Therefore, slope of altitude BC = \frac{5}{2}

Option (C) will be the answer.

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4 years ago
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