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leonid [27]
2 years ago
14

Find the value of x^2+1/x^2 if x-1/x=root 3.

Mathematics
1 answer:
daser333 [38]2 years ago
8 0

Observe that


\left(x-\frac{1}{x}\right)^2 = x^2 + \frac{1}{x^2} - 2


but since \x-\frac{1}{x} = \sqrt{3}, we can rewrite it as


(\sqrt{3})^2 = x^2+\frac{1}{x^2}-2 \iff x^2+\frac{1}{x^2} = 3+2 = 5


So, the answer is 5

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Please help, 20 points.<br> Perimeter :)
djyliett [7]

Answer:

<h2>D. (42 - 2x)(32 - 2x) = 900</h2>

Step-by-step explanation:

<em>Look at the picture.</em>

The dimensions of the picture:

(42 - 2x)in × (32 -2x)in

The formula of an area of a rectangle:

A = l · w

l - length, w - width

Substitute l = (42 - 2x), w = (32 - 2x) and A = 900

(42 - 2x)(32 - 2x) = 900

8 0
3 years ago
beni is shopping for a new cell phone plan. company a charges$72.25for a new phone and $85.50 per month.company b charges $151.2
tigry1 [53]
Missing questions and subsequent solutions:
(a) Write an equation for company A for cost, C, number of months, n, that Beni will pay for the phone.

Solution:
For company A:
C = 72.25 + 85.50n

(b) Write an eqyation for company B for cost, C, and number of months, n, that Bei will pay for the phone.

Solution:
For company B:
C = 151.25 + 65.75n

(c) Write an inequality when the cost from company A is better than cost from company B.

Solution:
72.25 + 85.50n ≤ 151.25 + 65.75n
(85.50-65.75)n ≤ (151.25 - 72.25)
19.75 n ≤ 79
n ≤ 4

(d) Value of n for which cost from the two companies will be the same.

Solution:
If cost for companies A and B are the same, then
72.25 + 85.50n = 151.25 + 65.75n
(85.5 - 65.75)n = 151.25 - 72.25
19.75n = 79
 n = 79/19.75 = 4 months

After 4 months,
C = 72.25 + 85.5*4 = $414.25
7 0
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3 0
3 years ago
A building has a ramp to its front doors to accommodate the handicapped. If the distance from the building to the end of the ram
bija089 [108]
<span>The ramp forms a right triangle with legs 5 and 22. 
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7 0
3 years ago
81 is 45% of what number
andrew-mc [135]
81 is 45% of 180, all you do is divide 81 by .45 and boom there you go
8 0
3 years ago
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