(10+2x)(8+2x) = 120
4x^2 + 36x + 80 = 120
x^2 + 9x + 20 = 30
x^2 + 9x - 10 = 0
(x+10)(x-1) = 0
x = 1 inch dimension
Answer:
Federcio's age possible values are those that are greater than 14 i.e 15, 16, 17 and so on
Step-by-step explanation:
Let Federico's age = x
Three times the difference of Federico’s age, and 4 means:
3(x - 4)
Increased by 7:
3(x - 4) + 7
Is greater than 37:
3(x - 4) + 7 > 37
Solving the inequality:
3x - 12 + 7 > 37
3x - 5 > 37
3x > 37 + 5
3x > 42
x >42/3
x > 14
Federcio's age possible values are those that are greater than 14
Answer:
68 feet
Step-by-step explanation:
Vertical motion model:
h = -16t² + vt + s
Given v = 64 and s = 4:
h = -16t² + 64t + 4
This is a parabola. The maximum of a parabola is at the vertex.
For y = ax² + bx + c, the vertex is at x = -b/(2a).
Therefore, the time to reach the maximum height is:
t = -64 / (2 × -16)
t = 2
And the maximum height is:
h = -16(2)² + 64(2) + 4
h = 68
So the Frisbee reaches a maximum height of 68 feet.
Answer:
14
Step-by-step explanation:
Convert the fraction into a decimal
1/2 = 0.5
Divide
7/0.5 = 14