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VladimirAG [237]
3 years ago
11

100 POINTS PLEASE PROVIDE STEPS AND GRAPH. GRAPH USING DESMOS IF POSSIBLE.

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:

See explanation for answer

Step-by-step explanation:

A)

Setting the two equations equal to each other:

x^2-2x=8

x^2-2x-8=0

(x-4)(x+2)=0

x=-2,4

To find the intersection points, since you know the x values and you know that it intersects with the line g(x)=8, all of the y coordinates will be 8. Therefore, the coordinate pairs area (-2,8) and (4,8).

B)

I added the file with the graph.

C)

This can be solved by using integration, and yields 36 square units.

Hope this helps!

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The length of a rectangle is 7 ft longer than twice the width. If the perimeter is 92 ft find the length and width of the rectan
user100 [1]

Width of the rectangle is 13 ft and length of the rectangle is 33 ft

<u>Step-by-step explanation:</u>

Step 1:

Given perimeter of the rectangle = 92 ft. Let the width be x, then the length of the rectangle = 2x + 7. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.

92 = 2(2x + 7 + x) = 2(3x + 7) = 6x + 14

⇒ 92 = 6x + 14

⇒ 78 = 6x

⇒ x = 78/6

∴ x = 13 ft

⇒ Width of the rectangle = 13 ft

∴ Length of the rectangle = 2x + 7 = 26 + 7 = 33 ft

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What is the answer to this word problem or how would I solve it
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Its a simultaneous equation:
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4x + 2y = 84
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Paladinen [302]

Using Pythagorean triplete

\\ \sf\longmapsto h^2=33^2+8^2

\\ \sf\longmapsto h^2=1089+64

\\ \sf\longmapsto h^2=1153

\\ \sf\longmapsto h=\sqrt{1153}

\\ \sf\longmapsto h=33.9

\\ \sf\longmapsto h\approx34

Now

\boxed{\sf sin\theta=\dfrac{h}{P}}

\\ \sf\longmapsto sin\theta=\dfrac{34}{8}

\\ \sf\longmapsto sin\theta=4.2

\\ \sf\longmapsto 2sin\theta=sin60

\\ \sf\longmapsto \theta=30°

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