Answer:
See below.
Step-by-step explanation:
1.
5^2 + 12^2 = x^2
25 + 144 = x^2
169 = x^2
x = 13
2.
3^2 + x^2 = [sqrt(10)]^2
9 + x^2 = 10
x^2 = 1
x = 1
3.
1^2 + x^2 = 4^2
1 + x^2 = 16
x^2 = 15
x = sqrt(15)
4.
[sqrt(27)]^2 + x^2 = 6^2
27 + x^2 = 36
x^2 = 9
x = 3
5.
15/5 = c/sqrt(29)
5c = 15 * sqrt(29)
c = 3sqrt(29)
6.
26/13 = x/12
2 = x/12
x = 24
X<6 or x>6 hope this helps
See attached picture with the answer
Answer: 1/2
<u>Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD</u>
(2/12*1/1) + (1/3+4/4)
<u>Complete the multiplication and the equation becomes
</u>
2/12+4/12
<u>The two fractions now have like denominators so you can add the numerators.</u>
2+4/12 = 6/12
<u>This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor </u>
6/12 ÷ 6/6 = 1/2
<u>Therefore:
</u>
2/12 + 1/3 = 1/2
The factorized answer is 36!
