Hrbdjrb283.3jdjrhehhdhrbd
Answer:
f(x) = 5x^2
Step-by-step explanation:
A vertical stretch is in the y direction
y = Cf(x) C > 1 stretches it in the y-direction
f(x) = 5x^2
Answer:
10 years old
Step-by-step explanation:
Let's say the age of the younger sister is x. Then the age of the older sister must be x + 2 because the ages are consecutive <em>even</em> numbers.
"Twice the age of the youngest exceeds the oldest by 8" means that we multiply x by 2 and set that equal to (x + 2) + 8:
2x = (x + 2) + 8
2x = x + 10
x = 10
So, the youngest sister is 10 years old.
Square root 156.25 to get the values of the sides of the square. You will get 12.5m for each side.
Now that you have the side values, use Pythagoras' Theorem to solve for the diagonal. Let's call the diagonal x,
c^2 = a^2 + b^2
x^2 = 12.5^2 + 12.5^2
= 312.5
Square root both sides to get x,
x = 17.68m (2 d.p)
HOPE THIS HELPED! Ask me if there is anything you don't understand from this working :D