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statuscvo [17]
3 years ago
10

Quick what’s the answer

Mathematics
2 answers:
GaryK [48]3 years ago
6 0
Use the Pythagorean Theorem of a² + b² = c² to solve for x. 

x² + (x + 3)² = (√117)²
x² + x² + 6x + 9 = 117
2x² + 6x + 9 = 117
2x² + 6x + 9 - 117 = 0
2x² + 6x - 108 = 0
2x² + 18x - 12x - 108 = 0
2x(x + 9) - 12(x + 9) = 0
(2x - 12)(x + 9) = 0

x = - 9, 6

Length cannot be negative so you can't use - 9. 

x = 6. Option C is your answer. 
Lapatulllka [165]3 years ago
4 0
Use the Pythagorean Theorem:
a² + b² = c²
(x + 3)² + (x)² = (√117)²
(x² + 6x + 9) + (x²) = 117
2x² + 6x + 9 = 117
2x² + 6x - 108 = 0
2(x² + 3x - 54) = 0
2(x + 9)(x - 6) = 0
2≠0, x + 9 = 0, x - 6 = 0
            x = - 9,      x = 6
Length cannot be negative so x = -9 is not valid.

Answer: x = 6
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The probability that Caroline wins a raffle is given by the expression
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Answer:  \frac{n-m}{n}

This is the same as writing (n-m)/n

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==================================================

Explanation:

The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.

For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.

The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.

We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".

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Simplify completely: 8x+4/x^3+23÷4x^2-10x-6/9-x^2
Helen [10]

Answer:

The simplified form is: -x^2-2x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{2}{3}

Step-by-step explanation:

To simplify the expression given we, need to open the brackets, and if there is power term. Then we need to group all the like terms and then arrange in the descending order of powers of the given expression.

Now the expression that is given to us is:

8x+\frac{4}{x^3}+\frac{23}{4x^2}-10x-\frac{6}{9}-x^2

Here we will simplify it by grouping the like terms, as follows:

8x+\frac{4}{x^3}+\frac{23}{4x^2}-10x-\frac{6}{9}-x^2\\=-x^2+8x-10x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{6}{9}=-x^2-2x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{2}{3}

So this is the required simplified form.

7 0
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