The length is 120 feet. Setting up a proportion, you get 1/40=3/x. Solving for x, you get 120.
Take out the extras and multiply the numbers
Answer:
Description
Step-by-step explanation:
a. 2 solutions
b. 2 imaginary solutions
c. If the discriminant is positive, then it will have 2 real solutions as the square root of a positive number always equals a positive number. If the discriminant is negative, the quadratic equation will have 2 imaginary solutions, as the square root of a negative number is always imaginary. If the discriminant equals 0, it will have only 1 real solution.
Answer:
a) 10
b) 2.5
Step-by-step explanation:
2^n = 1024
2^n = 2^10
n = 10
4^(2n-3) = 16
4^(2n-3) = 4^2
2n-3 = 2
2n = 5
n = 2.5
Answer:
6 years
Step-by-step explanation:
Convert feet to inches: 3 feet = 36 inches, 7 feet = 84 inches
Set two equations equal to each other:
First equation, Type A has a slope of 12 (grows 12 inches per year) and a y-intercept of 36 (it starts 36 inches (or 3 feet) tall)
Second equation, Type B has a slope of 4 (grows 4 inches per year) and a y-intercept of 84 (starts at 84 inches (or 7 feet) tall)
12x + 36 = 4x + 84
subtract 36 from both sides
12x = 4x + 48
subtract 4x from both sides
8x = 48
divide by 8 on both sides
x = 6
It will take the tree types 6 years to be the same height
Hope that helps!
