Step-by-step explanation:
-1 / 2 + x = -21 /4
x = -21/4 + 1/2
x = (-21 + 2)/4
x = -19/4
Answer:
<u> </u><u>For</u><u> </u><u>y</u><u> </u><u>:</u>
From pythogras theorem:

For the second largest inner triangle;

Equate (a) and (b):

solve the equation to get values of x, which will give you y
The value of
is 720
<h3>How to solve the expression?</h3>
The expression is given as:

The permutation formula is:

So, we have:

Evaluate the difference

0! = 1.
So, we have:

Evaluate the factorial

Hence, the value of
is 720
Read more about permutation at:
brainly.com/question/11732255
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Answer:
The equation in standard form is: 
Step-by-step explanation:
Since they give you the x-intercepts (the zeros of the quadratic expression) one knows that the binomials: (x-(-3)) and (x-4) must be factors of the quadratic expression.
We can therefore write the equation as:

using the binomial factors given above, and a numerical factor "k" that we can determine by using the information that the graph passes through the point (2,-20):

Then,the equation can be written as:

where we wrote the equation already in standard form
First, draw a diagram. The datum level would be where the helicopter is at up in the sky. An angle of depressing means that instead of rising, the angle start from the horizontal and moves clockwise. Then, you have the altitude which forms a vertical line opposite to the 18 degrees. You are to find x which is adjacent to the 18 degrees. Since the diagram forms a right angle, you use the tangent function:
tangent 18 = opposite / adjacent
tangent 18 = 1560 / adjacent
adjacent = 4,801.19
Thus, the horizontal distance is 4,801.19 ft