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Lesechka [4]
2 years ago
9

Find an equation of the line perpendicular to y=4x+5 and that passes through the point (0,-1)

Mathematics
1 answer:
iragen [17]2 years ago
7 0

Answer:

y = -1/4x - 1.

Step-by-step explanation:

y = 4x + 5

The slope of this is 4 so the slope of line perpendicular to this line = -1/4.

Using the formula y - y1 = m(x - x1):

y - (-1) = -1/4(x - 0)

y + 1 = -1/4x

y = -1/4x - 1.

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A submarine was 144 feet below sea level. A shark was hovering at a constant depth above the submarine. The submarine’s depth wa
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Answer:

-72 feet : Shark is 72 feet below sea level.

Step-by-step explanation:

Let x represent depth of the shark.

We have been given that the submarine’s depth was twice the depth of the shark. This means that depth of submarine would be 2x.

We have been given that a submarine was 144 feet below sea level, so submarine's elevation would be -144\text{ ft}.We can represent this information in an equation as:

2x=-144

To find shark's position, we need to solve for x.

\frac{2x}{2}=\frac{-144}{2}

x=-72

Therefore, -72 feet represents shark's elevation, which represents that shark is 72 feet below sea level.

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