Find the slope of the given line, if it is defined. (if an answer is undefined, enter undefined.) 2x + 3 = 0

On the rectangular coordinate system, what is the shortest distance between points (−4, 3) and (−2, −1)?

pogonyaev

Shortest Distance = $\sqrt{ (-4+2)^{2} + (3+1)^{2} }$
Shortest Distance = $\sqrt{ (-2)^{2} + (4)^{2} }$
Shortest Distance = $\sqrt{20}$
Shortest Distance = $4.47 units$

3 0

2 years ago

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To make a trail mix you must have 4 cups of pretzels and 2 cups of bread chips.What is the ratio of pretzels to bread chips?

WINSTONCH [101]

4:2 which can be converted to 2:1

3 0

3 years ago

The angle of elevation of the top of a tower from a point 100m away is 45 degrees. What is the height of the tower to the neares

OLEGan [10]

<h3>Answer: 100 meters</h3>

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Explanation:

If you draw out the diagram, then you'll find that a 45-45-90 triangle forms. The nice thing about this type of triangle is that the two legs are always the same length. The horizontal leg is 100 meters, so the vertical leg must also be 100 meters.

Side note: this type of triangle is an isosceles right triangle.

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You could use the tangent rule to get the same thing

tan(angle) = opposite/adjacent

tan(45) = 100/x

1 = 100/x

1*x = 100

x = 100

In this case, the opposite leg is the vertical leg since it is furthest from the angle of elevation.

5 0

2 years ago

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