Answer:
Given below
Step-by-step explanation:
The algebraic identity is (a-b)^2
= a^2 + b^2 - 2ab
So it'll be,
(x-4)^2
= x^2 + (4)^2 - (2)(x)(4)
= x^2 -8x + 16
or x^2 +16 -8x
General Idea:
If we have a quadratic function of the form f(x)=ax^{2} +bx+c , then the function will attain its maximum value only if a < 0 & its maximum value will be at x=-\frac{b}{2a} .
Applying the concept:
The height h is modeled by h = −16t^2 + vt + c, where v is the initial velocity, and c is the beginning height of the firecracker above the ground. The firecracker is placed on the roof of a building of height 15 feet and is fired at an initial velocity of 100 feet per second. Substituting 15 for c and 100 for v, we get the function as
.
Comparing the function f(x)=ax^{2} +bx+c with the given function
, we get
,
and
.
The maximum height of the soccer ball will occur at t=\frac{-b}{2a}=\frac{-100}{2(-16)} = \frac{-100}{-32}=3.125 seconds
The maximum height is found by substituting
in the function as below:

Conclusion:
<u>Yes !</u> The firecracker reaches a height of 100 feet before it bursts.
we are given

Since, we have to solve for w
so, we will isolate w on anyone side
Multiply both sides by 5



so,
option-D..........Answer
Answer:
240 to 60 or in simpler form 1 and 4
Step-by-step explanation:
Answer:
- 4
Step-by-step explanation:
Midpoint of JK
