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4 years ago

Use the coordinates to find the length of each side of the rectangle. Then find the perimeter. L(3,3), M(3,5), N(7,5), P(7,3)

Mathematics

2 answers:

larisa86 [58]4 years ago

5 0

Length of legs:2,2,4,4, p=12

zepelin [54]4 years ago

5 0

Length of legs:2,2,4,4, p=12

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Which sets of ratios are a proportion? (Choose all that apply) *

vladimir1956 [14]

Answer:

<h2>Sets of Ratios that are Proportion</h2>

3/11 and 17/6

60/55 and 7/25

7/6 and 52/48

<h3>Solution:</h3>

> 12/7 and 36/21

$\frac{12}{7} = \frac{36}{21} \\ 12(21) = 36(7) \\ 252 = 252$

> 4/10 and 8/20

$\frac{4}{10} = \frac{8}{20} \\ 4(20) = 8(10) \\ 80 = 80$

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3 years ago

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lozanna [386]

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3 years ago

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Alex_Xolod [135]

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3 years ago

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Makovka662 [10]

Let $u=x^2-4$ and $v=4x-5$ . By the product rule,

$\dfrac{\mathrm d(u^5v^4)}{\mathrm dx}=\dfrac{\mathrm d(u^5)}{\mathrm dx}v^4+u^5\dfrac{\mathrm d(v^4)}{\mathrm dx}$

By the power rule, we have $(u^5)'=5u^4$ and $(v^4)'=4v^3$ , but $u,v$ are functions of $x$ , so we also need to apply the chain rule:

$\dfrac{\mathrm d(u^5)}{\mathrm dx}=5u^4\dfrac{\mathrm du}{\mathrm dx}$

$\dfrac{\mathrm d(v^4)}{\mathrm dx}=4v^3\dfrac{\mathrm dv}{\mathrm dx}$

and we have

$\dfrac{\mathrm du}{\mathrm dx}=2x$

$\dfrac{\mathrm dv}{\mathrm dx}=4$

So we end up with

$\dfrac{\mathrm d(u^5v^4)}{\mathrm dx}=10xu^4v^4+16u^5v^3$

Replace $u,v$ to get everything in terms of $x$ :

$\dfrac{\mathrm d((x^2-4)^5(4x-5)^4)}{\mathrm dx}=10x(x^2-4)^4(4x-5)^4+16(x^2-4)^5(4x-5)^3$

We can simplify this by factoring:

$10x(x^2-4)^4(4x-5)^4+16(x^2-4)^5(4x-5)^3=2(x^2-4)^4(4x-5)^3\bigg(5x(4x-5)+8(x^2-4)\bigg)$

$=2(x^2-4)^4(4x-5)^3(28x^2-57)$

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3 years ago

Find the z-scores that bound the middle 74% of the area under the standard normal curve.

aniked [119]

Since 74% of the middle area is bounded, this means that there is 13% on the left side, and another 13% on the right side.

P (left) = 0.13

P (right ) = 1 - 0.13 = 0.87

At this P values, the z scores are approximately:

z score (left) = -2.22

<span>z score (right) = 1.13</span>

5 0

3 years ago