Answer:
The value of
:

Step-by-step explanation:
Find the value of
:

-Add both sides by
:


-Subtract both sides by
:


Divide both sides by
:


So, the final answer would be
.
Answer:
-2(x^2+15)
Step-by-step explanation:
f(x) = −2(x − 4)^2 + 2.
Expanding (x-4)^2
(x-4)(x+4)
x(x+4)-4(x+4)
x^2+4x-4x-16
x^2-16
F(x) = -2(x^2-16)+2
-2x^2-32+2
-2x^2-30
-2(x^2+15)
To be parallel with that line the equation has to have the same slope as the equation given, like y = 10x + 3.
The balloon reaches a height of 7 feet at 0.1 seconds and 2.13 seconds
<h3>How to determine the time the balloon is at the height?</h3>
The equation of the function is given as
h(t)= -16t^2 + 35t + 5
The above equation is a quadratic equation
When the balloon is at a height of 7 feet, we have
h(t) = 7
So, we have the following equations
h(t)= -16t^2 + 35t + 5
h(t) = 7
Next, we plot the equations on a graph (see attachment)
The equations intersect at
t = 0.059 and t = 2.129
Approximate
t = 0.1 and 2.13
Hence, the times are 0.1 seconds and 2.13 seconds
Read more about quadratic equation at
brainly.com/question/15709421
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Answer: Sin N = 
Step-by-step explanation:
Since we have given that
In triangle MPN, ∠P=90°

As we know the formula for "Trigonometric Ratios":

By Pythagorus theorem , we get

So, we get,

Hence, Sin N = 