The time of takeoff of this hovercraft would be 0 seconds, as if you were starting a timer. So, if you plug in 0 for x (unit for seconds) in your equation, it will look like this:
h(0) = -3(0 - 3)² + 108
Parenthesis first
h(0) = -3(-3)² + 108
Exponents next
h(0) = -3(9) + 108
Multiplication
h(0) = -27 + 108
Combine like terms
h(0) = 81: The height of the hovercraft at the time of takeoff is 81 meters!
Hope this helps :)
Answer: The answers is (B) equal areas.
Step-by-step explanation: Given that two triangles have equal perimeters.
As shown in the attached figure, let us consider two right-angles triangles, ΔABC and ΔDEF, with sides AB = 3 cm, BC = 4 cm, AC = 5 cm, DE = 4 cm, EF = 3 cm and DF = 5 cm.
So the perimeters of both the triangles = 3 + 4 + 5 = 4 + 3 + 5 = 12 cm.
Since volume term is not valid in case of triangles, so they cannot have equal volumes. Therefore, option (A) is incorrect.
Area of ΔABC is

and area of ΔDEF is

Therefore, they may have equal areas and so option (B) is correct.
If the triangles have equal bases, then the heights will also be equal and both the triangles will be same. Similar is the case with equal heights. So, options (C) and (D) are incorrect.
Thus, the correct option is (B). equal areas.
<u>Let's first consider:</u><em> the fact that a new computer loses 1/2 of its value</em>
<em> </em> ⇒ <u>third choice</u> and <u>fourth choice</u> are <u>eliminated</u>
⇒ because of the graph project the computer's value as growing over
years
<u>Now let's try to set up an equation</u>:
After 1st year ⇒ Computer's value = 
After 2nd year ⇒ Computer's value = 
After 3rd year ⇒ Computer's value =
..... (<em>Hopefully you see a pattern)</em>
<em />
After x year ⇒ Computer's value = 
<u>Therefore, the equation is</u>: 
⇒that means the graph has to <u>exponentially decreasing</u> as it has
an exponent (<em>meaning the function is exponential</em>) and a base less
than 1 (<em>meaning that the function is decreasing)</em>
<u>Answer: Choice (1)</u>
<u></u>
Hope that helps!
The answer to your problem would be -8
I got this because if you take 4 - 2x to the third power, it would look like this:
(4 - 2x)^3
All you have to do it plug in 3, solve for the equation in the parentheses, and then take that number to the third power. In this case, you get -2, and if you take that to the third power, you get -8.
Hope this helps!