Answer: 7x^2+21x+14
Step-by-step explanation:
(7x+7)(x+2)
Multiply each term in the first parentheses by each term in the second parentheses (FOIL)
7x×x+7x×2+7x+7×2
↘ ↙
7x×x calculate product
7x^2+7x×2+7x+7×2
↘ ↙
7x×2 calculate product
7x^2+14x+7x+7×2
↘↙
7×2 multiply numbers
7x^2+14x+7x+14
↘ ↙
21x collect like terms
7x^2+21x+14 is your end result.
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.
Point-slope form of a line: We need a point (x₀,y₀) and the slope "m";
y-y₀=m(x-x₀)
We have the next equation of line:
y=1/2 x-2 (slope-intercept form y=mx+b)
the slope of this line is 1/2 (m=1/2)
And any one point could be:
if x=0; then y=1/2 (0)-2=-2 (0,-2)
Therefore, we already have the point (0-,2) and the slope (m=1/2)
y-y₀=m(x-x₀)
y+2=1/2(x-0)
Answer: the point slope form of y=1/2 x-2; would be:
y+2=1/2(x-0)
Photo math can help with that
Tbh i’m just trying to get points