Answer:
4 = 22
Step-by-step explanation:
Factor 40 into its prime factors
40 = 23 • 5
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
4 = 22
Factors which will remain inside the root are :
10 = 2 • 5
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
2 = 2
At the end of this step the partly simplified SQRT looks like this:
2 • sqrt (10x4)
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) sqrt(x8)=x4
(3.2) sqrt(x-6)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) sqrt(x5)=x2•sqrt(x)
(4.2) sqrt(x-7)=x-3•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(x4) = x2
sqrt (40x4) =
2 x2 • sqrt(10)
Simplified Root :
2 x2 • sqrt(10)
Answer:
a) x = -1 and y = -10
Step-by-step explanation:
The first part says find the value of y when the value of x is -3. Then the second part of the question is to find the value of x when the value of y is 2.
so lets solve part a)

So answer to part a is x = -1 and y = -10
similarly try the other parts.
The correct answer is -1 and 1/2.
First, you need to divide 1/2 by -4/5. To do this, you multiply 1/2 by -5/4. You will get -10/8.
Then, you add -10/8 with -2/8 to get -12/8, or -1 and 1/2.
Answer:
77,000
Step-by-step explanation:
If 72,000 is 150% of direct labor, then direct labor is 48,000 (72000/1.5)
direct labor 48000
overhead. 72000
total. 120,000
total costs: 197,000
less total above: 120,000
=material costs. 77,000
Hiiii i just commented but it works now!
THE ANSWER IS: 9
let the length FJ be x
since the triangles are similar, set up a ratio that matches the corresponding sides
so the longest side of the triangle over the shortest side of the triangle
set the ratios equal to each other
to solve for 16+x, multiply 15x15 then divide by x
rewrite that as 225/x = 16+x
solve for x
you’ll get two answers: -25 and 9
since the side length can’t be negative, the answer is 9