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3 years ago

Line AB contains points A (3, −2) and B (1, 8). The slope of line AB is −5 negative 1 over 5 1 over 5 5

Mathematics

2 answers:

pentagon [3]3 years ago

8 0

Slope = (8+2)/(1 - 3) = 10/-2 = -5
answer
<span> −5 </span>

oee [108]3 years ago

7 0

Answer: -5

Step-by-step explanation:

The slope of a line passing through (a,b) and (c,d) is given by :-

$\text{Slope}=\dfrac{d-b}{c-a}$

Then the slope of the line AB contains points A (3, −2) and B (1, 8) will be :-

$\text{Slope}=\dfrac{8-(-2)}{1-(3)}\\\\\Rightarrow\text{Slope}=\dfrac{10}{-2}-5$

Hence, the slope of the line AB contains points A (3, −2) and B (1, 8) = -5

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A quarterback throws a football toward a receiver from a height of 6 ft. The initial vertical velocity of the ball is 14 ft/s. At the same time that the ball is thrown, the receiver raises his hands to a height of 8 ft and jumps up with an initial vertical velocity of 10 ft/s.

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2 years ago

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Using the given variable definitions, we can write the equations ...

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3 years ago

A rectangular swimming pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a 2 feet

Ksivusya [100]

Answer:

The width and the length of the pool are 12 ft and 24 ft respectively.

Step-by-step explanation:

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$L_{1} = 2W_{1}$

Also, the area of the walkway of 2 feet wide is 448:

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$A_{T} = W_{2}*L_{2} = 448 ft^{2}$

Where 1 is for the swimming pool (lower rectangle) and 2 is for the walkway more the pool (bigger rectangle).

The total area is related to the pool area and the walkway area as follows:

$A_{T} = A_{1} + A_{w}$ (1)

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$A_{1} = L_{1}*W_{1}$

$A_{1} = (2W_{1})*W_{1} = 2W_{1}^{2}$ (2)

And the area of the walkway is:

$A_{w} = 2(L_{2}*2 + W_{1}*2) = 4L_{2} + 4W_{1}$ (3)

Where the length of the bigger rectangle is related to the lower rectangle as follows:

$L_{2} = 4 + L_{1} = 4 + 2W_{1}$ (4)

By entering equations (4), (3), and (2) into equation (1) we have:

$A_{T} = A_{1} + A_{w}$

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By solving the above quadratic equation we have:

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Hence, the width of the pool is 12 feet, and the length is:

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Therefore, the width and the length of the pool are 12 ft and 24 ft respectively.

I hope it helps you!

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