Answer:
8/35
Step-by-step explanation:
1 1/4 = 5/4
3 1/2 = 7/2
5/4 × 7/2
Find the reciprocal. (flip numerator and denomimator)
4/5 × 2/7 = 8/35
As you see this is a right angle, so the sum of the two angles = 90°
So,
(x + 42) + 3x = 90°
Remove the parentheses:
x + 42 + 3x = 90
Combine like terms:
4x + 42 = 90
Subtract 42 on both sides:
4x = 48
Divide 4 on both sides:
x = 12
~

is already simplified because 31 is a prime number. A prime number has two factors, one and the number itself.
Answer:
f(x) = 0.5(x + 3)^2 + 5.
Step-by-step explanation:
The horizontal stretch is given by multiplying by 1/2 or 0.5:
f(x) = 0.5x^2
Now a shift of 3 to the left gives f(x) = 0.5(x + 3)^2.
5 units up gives 0.5(x + 3)^2 + 5.
Answer:
55 - you multiplied 6 by 11 to get 66 so you multiply by 5 by 11 to get 55.