Good morning ☕️
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Answer:
x=4
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Step-by-step explanation:
-Solving:
2x + 5 – 3 (2x - 7) = 2 (3x – 5) – 4
2x + 5 – 6x + 21 = 6x – 10 – 4
-4x + 26 = 6x - 14
10x= 26+14
10x=40
x=4
-Checking:
x=4
2(4) + 5 – 3 (2(4) - 7) = 8+5-3(8-7) = 13-3(1) =13-3=10
2 (3(4) – 5) – 4 = 2(12-5)-4 = 2(7)-4=14-4=10.
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:)
D≈6.37
<span>CCircumference 20</span>
(a)

or, via symmetry

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(b)
By the chain rule:

For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that

Differentiating with respect to theta

2/3 is the slope
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(c)
"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3
A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time
</span><span />
Base = 5 * 12 = 60 in^2
Height = 4 in
Perimeter is the sum of all straight
Perimeter = 20 + 16 + 48
Perimeter = 84 in
Perimeter of base = 12 * 2 + 5 * 2 = 34
Answer:
2
Step-by-step explanation:
The trick here is to reduce each of the bases to lowest form first