Add 14 to both sides
2/3p=p+27
Subtract p from both sides
-1/3p= 27
Multiply both sides by -3
p= -81
Final answer: p=-81
Answer:

Step-by-step explanation:



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The correct answer to this question is <span>d.) integral from 1 to 2 of (2/(x+1))
</span>To solve this:
Since Δx = 1/n.
lim (n→∞) Δx [1/(1+Δx) + 1/(1+2Δx)+ ... + 1/(1+nΔx)]
= lim (n→∞) Σ(k = 1 to n) [1/(1 + kΔx)] Δx.
x <---> a + kΔx
a = 0, then b = 1, so that Δx = (b - a)/n = 1/n
Since (1 + kΔx) combination, a = 1 so that b = 2.
Then, f(1 + kΔx) <-----> f(x) ==> f(x) = 1/x.
This sum represents the integral
∫(x = 1 to 2) (1/x) dx, so the correct answer is <span>d.) integral from 1 to 2 of (2/(x+1))
Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help.
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Answer:
D. 6
Step-by-step explanation:
Suppose the triangles are similar:
The side lenghts would be proportional as follows
XZ/DF = XY/DE
12/8 = 9/x cross multiply expressions
12x = 72 divide both sides by 12
x = 6
(x + 7)(x - 4) = x^2 - 4x + 7x - 28 = x^2 + 3x - 28