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DiKsa [7]
3 years ago
8

Find the length of y in feet. (Similar angles or sides, I think)

Mathematics
1 answer:
Elodia [21]3 years ago
3 0

Answer:

y = 8 ft

Step-by-step explanation:

By the midsegment theorem; QS or y = \frac{1}{2} (PO)

y = \frac{1}{2}(16)

y = 8

Hope this helps!

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11Alexandr11 [23.1K]

Answer:

x1

Step-by-step explanation:

We have:

(x+5)(x-1)

And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:

(x+5)(x-1)>0

Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:

(x+5)(x-1)=0

Zero Product Property:

x+5=0\text{ or } x-1=0

On the left, subtract 5.

On the right, add 1.

So, our zeros are:

x=-5, 1

Since our inequality is a <em>greater than</em>, our answer is an "or" inequality with our answer being all the values to the <em>left</em> of our lesser zero and all the values to the <em>right </em>of our greater zero.

So, our solution is:

x1

And we're done!

7 0
3 years ago
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Can you help me with this equation???
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A straight line equals 180 degrees, so the angles need to add up to that amount. Hope this helps!
5 0
3 years ago
During the 2019 professional baseball season, four players scored a total of 132 home runs.
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Step-by-step explanation:

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Find a number if 10/9 of it is 10
grandymaker [24]

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Step-by-step explanation:

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3 years ago
A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per
Art [367]

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by h(t) = -16\cdot t^{2}+12\cdot t +10, where h(t) is the height in feet and t, the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

-16\cdot t^{2}+12\cdot t +10 = 10

-16\cdot t^{2}+12\cdot t = 0

Then, we simplify the expression by algebraic means:

-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0

Roots of the polynomial are, respectively:

t = 0\,s\,\lor \,t = 0.75\,s

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

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