For this problem we can represent the situation as a rectangle triangle.
x: depth of water.
40: Base. "Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot"
x + 8: Hypotenuse. "He notices water lily sticking straight up from the water, whose blossom is 8 cm above the water's surface." Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot".
By the Pythagorean theorem we have:
x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
Clearing x:
x ^ 2 + 1600 = x ^ 2 + 16x + 64
x ^ 2 - x ^ 2 = 16x + 64 - 1600
0 = 16x -1536
1536 = 16x
1536/16 = x
x = 96
answer:
1) x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
2) the depth of the water is
x = 96
Answer:
(B). F(X)=2x^2+2x-4
Step-by-step explanation:
-4 means it passes through -4 at the y axis
B and D have -4
graph passes thru x axis at -2 and 1
if you enter x = -2 or 1 in the formula
(B). F(X)=2x^2+2x-4
you get 0
it's not D because when you enter -2 or 1 for x
you don't get 0
you get 8 and -4
Answer:
50%
the mean (46) marks the halfway point, so over the mean is 50% and under the mean is 50%
When you have ratios, and some unknowns, you can create complex fractions from them. Bring them to the same denominator, and solve for x.
Example - we have this proportion:
2-x
5-45
And we can change it into fraction:
\frac{2}{5}=\frac{x}{45}
\frac{2*9}{5*9}=\frac{x}{45}
\frac{18}{45}=\frac{x}{45}
18=x
In case of more complex fractions it may come in handy.
Jamal would bike further in
