Answer:
(x - 10)(x + 10)
Step-by-step explanation:
x² - 100 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
x² - 100
= x² - 10²
= (x - 10)(x + 10)
Answer:
is there anymore to the question?
Step-by-step explanation:
Answer:
The maximum height of the rocket is 256 feet
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
- (h, k) is the vertex point
- h = and k = f(h)
- (h, k) is a minimum point if a > 0 and a maximum point if a < 0
Let us use these rules to solve the question
∵ h(t) = -16t² + 128t
→ Compare it by the form of the quadratic function above
∴ a = -16 and b = 128
∵ a < 0
∴ The vertex (h, k) is a maximum point
∴ The maximum height of the rocket is the value of k
→ Use the rule of h above to find it
∵ h = =
∴ h = 4
→ Substitute x in the equation by the value of h to find k
∵ k = h(h)
∴ k = -16(4)² + 128(4)
∴ k = -256 + 512
∴ K = 256
∴ The maximum height of the rocket is 256 feet
Answer:
A = $746 (rounded up to nearest cent)
Step-by-step explanation:
A = P
A = $500 × = $745.9123488 or $746 (rounded up to nearest cent)
Answer: Option C
Step-by-step explanation:
Since we know the angle G, then to find the length CV we use the function of the sine.
By definition the sinx function is defined as:
Where
Opposite is the length of the side opposite the angle x.
Hypotenuse is the logitude of the side opposite the angle of 90 °
Note that in this case:
So we have to:
Now ew solve the equation for CV side: