Simplify the following:
(3 sqrt(2) - 4)/(sqrt(3) - 2)
Multiply numerator and denominator of (3 sqrt(2) - 4)/(sqrt(3) - 2) by -1:
-(3 sqrt(2) - 4)/(2 - sqrt(3))
-(3 sqrt(2) - 4) = 4 - 3 sqrt(2):
(4 - 3 sqrt(2))/(2 - sqrt(3))
Multiply numerator and denominator of (4 - 3 sqrt(2))/(2 - sqrt(3)) by sqrt(3) + 2:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/((2 - sqrt(3)) (sqrt(3) + 2))
(2 - sqrt(3)) (sqrt(3) + 2) = 2×2 + 2 sqrt(3) - sqrt(3)×2 - sqrt(3) sqrt(3) = 4 + 2 sqrt(3) - 2 sqrt(3) - 3 = 1:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1 = (4 - 3 sqrt(2)) (sqrt(3) + 2):
Answer: (4 - 3 sqrt(2)) (sqrt(3) + 2)
Answer: 20+35=55+20=75
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Given:</u>
- Total certificates = 500
- Math = m
- Science = s
<u>Equations </u>
<u>Girls who won certificates:</u>
- 2/3m = 50 + 3/2*1/2s
- 2/3m = 50 + 3/4s
<u>Multiply both sides by 12 to clear fractions</u>
<u>Substitute s</u>
- 8m = 600 + 9(500 - m)
- 8m = 600 + 4500 - 9m
- 17m = 5100
- m = 5100/17
- m =300
<u>Girls who won math:</u>
Answer:
33
Step-by-step explanation:
3q + 3j
if q= 7 and j = 4
3(7) + 3(4) = 21 + 12 = 33
Answer:
x = 1
Step-by-step explanation:
The reason the answer is one because, 1^2 = 1
and 1 - 1 = 0
