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harina [27]
1 year ago
11

PO has endpoints at P(-5.4) and Q(7-5). What is the length of PQ?

Mathematics
1 answer:
castortr0y [4]1 year ago
7 0

Answer:

Explanation:

If line segments PQ has endpoints at P(-5, 4) and Q(7, -5).

To determine the length of the line, we use the distance formula:

\begin{gathered} Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{Where:} \\ $$\mleft(x_1,y_1\mright)=P\mleft(-5,4\mright)$$ \\ (x_2,y_2)=Q\mleft(7,-5\mright). \end{gathered}

Substituting the given values, we have:

undefined

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andrezito [222]

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The total distance traveled is 4 km, which is equal to 4000 meters. This is equal to the area under the graph, so 400T-\frac{1}{2}(100-V)(5T)=4000.

400(100-4T)-\frac{1}{2}(4T)(5T)=4000\\\\40000-1600T-10T^2=4000\\\\10T^2 +1600T-36000=0\\\\T^2 +160T-3600=0\\\\(T+180)(T-20)=0\\\\T=20 (T > 0)\\\\\therefore V=100-4(20)=20

6 0
1 year ago
Please help thanks!!
Sidana [21]

So for this, you will be doing two different multiplications: 3 x 4 and √8 x √3.

3 x 4 = 12

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In short, the answer is 24√6, or the first option.

4 0
3 years ago
A rectangle's perimeter is equal to 27 plus its width. The length of the rectangle is four times its width. What is the
lara31 [8.8K]

Answer:

P = 3

Step-by-step explanation:

L = 4*w

P = 27 + w

P = 2*L + 2*w = 27 + w

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P = 8w + 2w = 27 + w

10w = 27 + w                        Subtract w from both sides

9w = 27                                Divide by 9

w = 27 / 9                          

w = 3

You should find the Length just so you can check it.

L = 4w

L = 4*3

L = 12

Check

P = 2L + 2w

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P = 27 + 3

P = 30 and everything checks.

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Step-by-step explanation:

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