Answer:
The correct option is;
The graph will have a height of 6 feet at 16 seconds
Step-by-step explanation:
The given parameters are;
The start time for throwing the rock = 0 s
The height from which the rock is thrown = 6 ft
The vertex of the parabola = 8 seconds
Given that the vertex is the axis of symmetry, then the time it takes the rock to reach the vertex (8 seconds) from the point (0, 6) will be the same time it takes the rock to reach the point on the other side of the parabola at the same 6 feet which will then have coordinates (8 + 8, 6) or (16, 6) which will be 6 feet in 16 seconds.
D. X = 8 , Y = 6
3x - 14 = x + 23x - x = 2 + 142x = 162x / 2 = 16/2x = 8
To check: 3x - 14 = x + 2 ; 3(8) - 14 = 8 + 2 ; 24 - 14 = 10 ; 10 = 10
4y - 7 = y + 114y - y = 11 + 73y = 183y / 3 = 18 / 3y = 6
To check: 4y - 7 = y + 11 ; 4(6) - 7 = 6 + 11 ; 24 - 7 = 17 ; 17 = 17
hopes it helps:)
Answer:
x = 10.3 in
Step-by-step explanation:
To find the value of a, use the area formula for a triangle. The formula is A = 1/2 *b*h. Here b = x and h= x. The formula becomes A = 1/2 *x². Substitute A = 53 and solve for x by using inverse operations.
A = 1/2x²
53 = 1/2x²
106 = x²
√106 = x
10.3 = x
Answer:
There are total 96 shirts out of which 72 are black and 12 are white and 12 are red.
Step-by-step explanation:
Let the total number of shirts be x.
Then 3/4= 0.75 shirts are black
50% or 50/100 =0.5 of 1/4 ( 1-3/4) remaining are white
and 12 are red
x= 0.75x+0.125x+12
x= 0.875x+ 12
x-0.875x= 12
0.125x= 12
x= 12/0.125
x= 96
There are total 96 shirts out of which 3/4 are black
96*0.75= 72 are black and
96*0.25= 24 are left behind out of which 50% are white.
12 are white and 12 are red.
