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ahrayia [7]
2 years ago
11

Find the value of x in the equation: x^2 + 4 = 12

Mathematics
1 answer:
jonny [76]2 years ago
7 0

Answer:

\sqrt{8}  = 2 \sqrt{2}

Step-by-step explanation:

In the equation we must first move 4 to the other side and change its sign

x^2 + 4 = 12

x^2 = 12 - 4

x^2 = 8

Then we find x:

x =

x =  \sqrt{8}  =  \sqrt{2 \times 2 \times 2}  =  \sqrt{ {2}^{2} \times 2 }  = 2 \sqrt{2}

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Read 2 more answers
Factor: 9x^2 + 15x.
slega [8]

Answer:

3(3x^2 + 5)

Step-by-step explanation:

step 1: find out the greatest common factor (GCF) of the number 9 and 15

ex: 9x^2 + 15x   (3 * 3x^2 + 3 * 5)

step 2: factor out the common term 3

ex: 3 * 3x^2 + 3 * 5   (3 * 3x^2 + 5)

step 3: simplify the equation

3 * 3x^2 + 5   [3(3x^2 + 5)]

6 0
3 years ago
A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost $4.00 per
vladimir2022 [97]
The grocer wants to make a 10 pound mixture 
p - pounds of peanuts
c - pounds of cashews
therefore the total pounds should be equal to 10 pounds 
p + c = 10 -----> 1)
the cost for ;
peanuts - 4.00 per pound * p pounds = 4p
cashews - 6.50 per pound * c pounds = 6.5c
the price of 10 pounds mixture = 4.75 per pound * 10 pounds = 47.5
4p+6.5c = 47.5 ---> 2)

to solve for p and c lets use simultaneous equations 
p + c = 10 -----> 1)
4p+6.5c = 47.5 ---> 2)
multiply 1st equation by 4
4p + 4c = 40 ---> 3)
subtract 3rd equation from the 2nd
2.5c = 7.5
c = 3
substituting c= 3 in 1st equation
p+c = 10
p+3 = 10
p = 7
therefore 3 pounds of cashews and 7 pounds of peanuts are needed to make the mixture
6 0
3 years ago
5.3.21<br>Solve the equation P= r+t+s for r<br>(Simplify your answer.)​
Sever21 [200]

Answer:

   r = P -t -s

Step-by-step explanation:

This is a one-step linear equation in r. Subtract the terms that don't contain r:

  P = r + t + s . . . . . . . . . .  given

The terms on the right that don't include r are (t+s). We want to subtract that to get r by itself.

  P -(t+s) = r +(t+s) -(t+s) . . . subtract (t+s)

  P -t -s = r . . . . . . . . . . . . . . simplify

  r = P - t - s

8 0
4 years ago
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