Answer:
Step-by-step explanation:
<u>Factored form of a parabola</u>
where:
- p and q are the x-intercepts.
- a is some constant.
Given x-intercepts:
Therefore:
To find a, substitute the given point (4, 8) into the equation and solve for a:
Therefore, the equation of the parabola in factored form is:
Expand so that the equation is in standard form:
Answer:
64.286ft
Step-by-step explanation:
6.25-->14
x-->144in=12ft im going to asume you meant 144ft or that would be a very small building
14/6.25=2.24ft shadow for 1 real foot
144/2.24=about 64.286ft
Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
Answer:
392
Step-by-step explanation:
7(8) + 3(8)(14)
56 + 336
=392
*Brackets mean to multiply.
