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lakkis [162]
3 years ago
7

Simplify the complex fraction: (49-x^2)^1/2 + 9x^2(49-x^2)^-1/2 / 49-x^2

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0
[(49 - x^2)^(1/2) + 9x^2(49 - x^2)^(-1/2)] / (49 - x^2)
= (49 - x^2)^(-1/2) * [(49 - x^2) + 9x^2 * 1] / (49 - x^2), via factoring
= (49 + 8x^2) / [(49 - x^2) (49 - x^2)^(1/2)]
= (49 + 8x^2) / (49 - x^2)^(3/2).

I hope this helps!
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ASAP
poizon [28]
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x =  354/6
x = 59

answer: x = 59
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after a deposit of $476 Sierra saves $11 per day how much money will Ciara have in 8 Days use an equation to solve the problem i
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2 years ago
DATA ANALYSIS AND STATISTICSProbabilities involving two rolls of a dieAn ordinary (falr) die is a cube with the numbers 1 throug
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Solution

The table below is the required sample space of the to fair die

From the above table

The sample space contain 36 outcomes

Event A: The sum is greater than 9

we will look at the table and count all the elements that are greater than 9

There are 6 elements (they are 10, 10, 10, 11, 11, 12 from the table)

The probability for event A will be

\begin{gathered} p(A)=\frac{\text{required outcome}}{\text{total outcome}} \\ p(A)=\frac{6}{36} \\ p(A)=\frac{1}{6} \end{gathered}

P(A) = 1/6

Event B: The sum is an even number.

We will look at the table and count the number of elements that are even

There are 18 elements (notice that there are 3 even number on each of the 6 rows of the table)

The probability for event B will be

\begin{gathered} p(B)=\frac{\text{required outcome}}{\text{total outcome}} \\ p(B)=\frac{18}{36} \\ p(B)=\frac{1}{2} \end{gathered}

p(B) = 1/2

5 0
1 year ago
Last month you spent ​$30 on clothing. This month you spent 150​% of what you spent last month. Set up a proportion to model thi
valentinak56 [21]

Answer:

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x=1.5(30)

x=45

6 0
2 years ago
there are 3/4 as many boys as girls in a class of fifth-graders if there are 35 students in the class how many a
Arlecino [84]
Alright so turn 3/4 into a decimal.
3/4 =.75

We need to set up an equation. To do that are need to give boys and girls their own variables.

Girls= X

And since there is 3/4 as many boys
Boys=. 75X

Now we know the sum of boys and girls equals 35
X+.75X=35

X+.75X=1.75X
Now we have 1.75X=35

Divide by 1.75 and get
20=X

Now plug 20 into the equations got from before.
Boys =. 75*X = 20 *. 75 = 15
Girls = X =20

Your Answer:
15 boys
20 girls

You can check
20+15=35
15/20=3/4

8 0
3 years ago
Read 2 more answers
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