Answer:
When the ball hit the ground, the height of the ball will be zero. So using the value of h(x) as zero in the given equation, we can find the time in which the ball will hit the ground.
0 = -(x-2)^2 + 16
(x-2)^2 = 16
x-2 = 16
x-2 = 4
x = 6
This means the ball will hit the ground 6 seconds after Amir threw it.
Step-by-step explanation:
Answer:
14 points
Step-by-step explanation:
The second test Lee did was 13 points fewer than the first test, which was 91 points, so the second test's score is 91 - 13 = 78 points.
The third test had the score of 92, so this is the highest score, and the lowest score is the second one: 78 points.
The difference between Lee's highest and lowest scores is:
92 - 78 = 14 points
Answer:
Area of the circle = 
π m² or 132.25 π m²
Step-by-step explanation:
To find the area, we will follow the steps below.
First write down the formular for the circumference of a circle, then use the formula to find the radius of the circle after which you can now find the area of the circle.
That is;
C = 2πr
where c is the circumference of the circle and r is the radius of the circle
From the question given, circumference C = 23π
23π = 2π r
Divide both-side of the equation by 2π
23π/2π = 2πr/2π
23/2 = r
radius = 
m
Formula for calculating the area of a circle is given by;
A = πr²
where A= area of the circle and r is the radius of the circle
A = π ( )²
A = π m² or 132.25 π m²
Area of the circle = π m² or 132.25 π m²
For this case we have to rewrite the given expression algebraically:
the cube of a, is represented as: 
the square of b, is represented as:
Thus, the product of both expressions is:
And twice the product is represented as:
Answer:
You can use variables to solve this problem. Lets say that m is men, w is women, and c is children. m+w+c=266
four times as many men as children in ‘math words’ would be 4c=m
twice as many women as children would be 2c=w
what we can do now is plug those in to make everything easier with one variable
4c+2c+c=266
7c=266
c=38 now we have how many children, and we need to plug it back into what we have for women and men.
4c=m 4(38)=m m=152
2c=w 2(38)=w w=76
152 men, 76 women, and 38 children
