So the maximum height is another word for vertex's y-coordinate. The easiest method to find the vertex is to find the axis of symmetry for the x-coordinate and then plug the axis of symmetry into the equation to solve for y.
Firstly, the equation for the axis of symmetry is , with b = x coefficient and a = x^2 coefficient. Using our equation, we can solve for the axis of symmetry as such:
Now that we have the x-coordinate, plug it into x and solve for y:
In short, the maximum height is 90.75.
Answer:
x=
−1
/2
y+4;all real numbers are solutions
Step-by-step explanation:
x=
−1
/2
y+4
4x+2y=16
4(-1/2y+4)+2y=16
all real numbers are solutions
Answer:
5.50 years
Step-by-step explanation:
A = P
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
3178 = 2000(1+.086/2)^2t
t = 5.499904413
Area of circle
= πr²
= (12)²
= 452.38934 inches²
452.38934 ÷ 16 = 28.27433 inches²
≈.28 inches² (nearest square inch)
Answer:
x = 0.85; y = 0.15
Step-by-step explanation:
Let the larger number = x
Let the smaller number = y
Equations
x + y = 1
x - y = 0.7
Solution
<em><u>Find x</u></em>
Add the equations together.
x + x = 1 + 0.7 Combine like terms.
2x = 1.7 Divide both sides by 2
2x/2 = 1.7/2
x = 0.85
<em><u>Find y</u></em>
x + y = 1 Substitute for x
0.85 + y = 1 Subtract 0.85 from both sides
0.85 - 0.85 + y = 1 - 0.85
y = 0.15