62.85 times so basically 63 times
The expression for the height is given in quadratic expression form
Ax² + Bx + C
Where A, B, and C are constant
To find the x-coordinate when the graph reaches maximum/minimum, we use the formula
x = -B ÷ 2A
We have
h = -16t² + 112t + 30
The value for A = -16, B = 112, and C = 30
Substitute these into x = -B ÷ 2A we have
t = -112 ÷ (2×-16) = 3.5
The maximum height is reached when t = 3.5 sec
The height when t = 3.5 sec is given
h = -16(3.5)² + 112(3.5) + 30 = 226 feet
The invese switches x and y so basically
if
f(21)=z then f⁻¹(z)=21
therefor
f(z)=21 and f⁻¹(21)=z
basically solve for the value that makes the functino equal 21
21=6(x+2)-3
add 3 both sides
24=6(x+2)
divide by 6
4=x+2
minus 2
2=x
answer is 2
Answer:
Area of the triangle = 0
Step-by-step explanation:
We are given the vertices of a triangle as: (- 8,4 ), (- 6,6), (- 3,9)
The formula to find the Area of the triangle =
1/2[ x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]
Where :
(x₁, y₁) = (- 8,4 )
(x₂, y₂) = (- 6,6)
(x₃, y₃) = (- 3,9)
Area of the triangle = 1/2[-8(6 - 9) + -6(9 - 4) + -3(4 - 6)]
= 1/2[ (-8 × -3) +( -6 × 5) +( -3× -2)]
= 1/2[ 24 - 30 + 6)
= 1/2[ 24 + 6 - 30]
= 1/2 [30 - 30]
=1/2[ 0 ]
= 0
Therefore, the area of triangle whose vertices are (- 8,4 ), (- 6,6) and (- 3,9) is ZERO( = 0 )
