Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
y=mx+B is the formula for finding the slop intercept
Answer:
9x + 90
Step-by-step explanation:
Given
9(x + 10) ← multiply each term in the parenthesis by 9 )
= 9x + 90
Answer:
F(x)=2x^2
Step-by-step explanation:
Basically, a quadratic function has x^2 in it (standard form ax^2+bx+c with non-zero a). The others have x^3, -x, x^4, etc., which clearly are NOT x^2.
Answer:
length : 10 yard
width: 14 yard
Step-by-step explanation:
Let l be the length of the yard.
Since the width is 6 yards less than twice its length, we can say the width is 2l-6.
With width x length=area,
l (2l -6) = 140
2l^2 - 6l = 140
2l^2 - 6l - 140 = 0
Using the quadratic formula,
we can determine l = 10 or -7
since the length should not be negative,
the length is 10 yard.
Now substitute l=10 into 2l-6.
width = 2(10)-6
= 14 yard
