Answer:
y=-6
Step-by-step explanation:
Answer:
The ball will reach a height of 5 ft by the 4th time.
Step-by-step explanation:
The initial height of the ball is 40 ft, when it bounces from the floor once the height will be 20 ft, the second time it'll be 10 ft, and so on. The sequence that can represent the maximum height of the ball after each bounce is:
{40, 20, 10,...}
This kind of sequence is called a geometric progression, in this kind of progression the next number is related to the one before it by the product of a constant called ratio, in this case 1/2. To calculate a specific position in this sequence we only need the ratio and the first number, using the formula below:
a_n = a*r^(n-1)
Where n is the position we want to know, a is the first number and r is the ratio. In this case we have:
a_4 = 40*(1/2)^(4-1) = 40*(1/2)^3 = 40/8 = 5
The ball will reach a height of 5 ft by the 4th time.
Answer:
The minimum point is (4,-3)
Step-by-step explanation:
we know that
If the new equation is
y=f(x-5)
then
The Rule of the translation is
(x,y) -----> (x+5,y)
That means ----> The translation is 5 units at right
so
(−1,−3) ----> (-1+5,-3)
(−1,−3) ----> (4,-3)
Answer:
-9/8
Step-by-step explanation:
Slope m = (y2-y1)/(x2-x1)
using (1,1) and (10,9)
m = (9 - 1)/(10 - 1)
m = (8)/(9)
m = 8/9
slope of line g is 8/9
Perpendicular lines have slopes that are negative reciprocals of one another
so slope of h is -9/8
