Answer:
(a)
Distance from player should be 13.82 feet or 36.2 feet
(b)
The ball will go over the net
Step-by-step explanation:
we are given
The ball follows a path given by the equation
where
x and y are measured in feet and the origin is on the court directly below where the player hits the ball
(a)
net height is 8 ft
so, we can set y=8
and then we can solve for x
we can use quadratic formula
So, distance from player should be 13.82 feet or 36.2 feet
(b)
we can plug x=30 and check whether y=8 ft
we know that
height of net is 8 ft
so, the ball will go over the net
Answer:
(h+8)^2 + ( y +1)^2 = 9
Step-by-step explanation:
The equation of a circle can be written as
(x-h) ^2 +(y-k) ^2 = r^2
where (h,k) is the center and r is the radius
(h- -8)^2 + ( y - -1)^2 = 3^2
(h+8)^2 + ( y +1)^2 = 3^2
(h+8)^2 + ( y +1)^2 = 9
Answer:
the player will win
Step-by-step explanation:
the team wont win
Step-by-step explanation:
= √2x × √8x³
= √(2.8x^4)
= √16x^4
= 4x²
Answer:
Side 1 = 8, side 2=6, side 3=3 1/3 or 10/3
Step-by-step explanation:
We can set up a proportion comparing the sides of the original triangle to the new triangle.
The original triangle has sides 12, 9, and 5. The new triangle has sides 8, e, and f (use whatever letters you like, it doesn't matter, but for me, e is the side with the middle length and f is the side with the shortest length.
We can write 3 ratios, with the length of the new triangle over the length of the old triangle.
8/12 e/9 f/5
To figure out e and f, put each ratio equal to 8/12.
<u>8 </u> = <u>e</u> Then multiply both sides of the equation by 9 and get <u>72 </u> = e, 6=e.
12 9 12
<u>8 </u> = <u>f </u> Then multiply both sides of the equation by 9 and get <u>40 </u> = f, <u>10</u>=f.
12 5 12 3
10/3 can be rewritten as 3 1/3.
