Answer:
x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 12 x - 23 = -5
Divide both sides by 8:
x^2 - (3 x)/2 - 23/8 = -5/8
Add 23/8 to both sides:
x^2 - (3 x)/2 = 9/4
Add 9/16 to both sides:
x^2 - (3 x)/2 + 9/16 = 45/16
Write the left hand side as a square:
(x - 3/4)^2 = 45/16
Take the square root of both sides:
x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
Answer: x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Answer:
45 minutes is 3/4 of an hour, so find 3/4 of 12.
Divide 12 by 4 to get 1/4 of 12. That is 3.
3/4 is 3 of those, so multiply it by 3 to get 9.
So, she will have biked 9 miles.
Answer:
12
Step-by-step explanation:
We can see that the base TA is 4, and the second base RS is 2. We can see that the height is 4. The area of a trapezoid is:
Using this, we can substitute, and get:
Hope it helps!!
Answer:
x/7+13=32
Step-by-step explanation:
work backward so subtract 13 from 32 and get 19 multiply it by 7 and get 133, to make sure your answers right just substitute 133 back into the equation
