Answer:
x = 75
Step-by-step explanation:
We can write this as a proportion
27 45
--------- = --------
45 x
We can use cross products to solve
27 x = 45 *45
Divide each side by 27
27 x/27 = 45*45 /27
x = 75
Answer:
Step-by-step explanation:
the base of the vase will be where the vase touches the x-axis, that is 10 cm, therefore, the base is 10 cm from the wall
:
b) 25 = x^2 -20x +100, we solve for x to find the closest distance since as we move up the vase the distance to the wall gets closer(assume the y-axis is the wall), then
x^2 -20x +75 = 0 (x-15) * (x-5) = 0
x = 15 and x = 5
we reject x = 15
the shortest distance from the top of the vase to the wall is 5 cm
:
c) this is a left shift of the equation y = (x-10)^2
from b) we know that the left shift is 5 cm
10 - 5 = 5 cm from the wall to the base
:
d) y = (x-10+5)^2
y = (x-5)^2
A. Surveying the students about their favorite type of math problem.
and
C. Sampling water for contaminants
What is inside the square root? Is it just the root of x? Or is it ROOT(x-4) + 5 = 2?
