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KIM [24]
3 years ago
13

Please answer number 16. please explain the steps

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
8 0

Answer:

X = -2 and 4

Step-by-step explanation:

Move all of the terms to one side and set the equation to 0:

2x^2-14x+40-3x^2+16x-32 = 0

Then combine all like terms which would look like the following:

-x^2 + 2x + 8=0

Change the signs on both sides of the equation:

x^2 - 2x - 8 =0

Write -2x as a difference:

x^2 + 2x - 4x -8 = 0

Factor the expression:

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

Factor out x+2 from the equation:

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

Split into classes and then find the answer from there:

x+2=0

x-4=0

Nimfa-mama [501]3 years ago
3 0
Work and explanation is attached
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The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. Wha
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Answer:

The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2

Step-by-step explanation:

The area of the roof is computed by the equation of the area of a cone:
A = πr(r + \sqrt{h^{2}+r^(2) })
(r: radius, h: height, πr^2 is the area of the base of the cone, πr\sqrt{h^{2}+r^(2) } is the lateral area of the cone). So:

A = 15\pi (15 + \sqrt{30^{2} +15^{2}  } ) ≈ 2287.44 ft^2.

As I stated earlier, the lateral area of the roof can be computed:

AL=15\pi \sqrt{30^{2} +15^{2} } ≈ 1580.58 ft^2.

5 0
2 years ago
Express the following pattern as an algebraic expression: 88, 75, 62, 49. Use “n” for the term number.
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Answer:

(P - 2l)/2

Step-by-step explanation:

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A circle is centered at Q(1,-5) and has a radius of 5. Where does the point Y(4,-1) lie?
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Answer:

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