The equation is a^2 + b^2 = c^2 and the long slanted side is always c so
12 + b^2 = 15
So using the equation a^2 + b^2 = c^2 and the transverse property the answer is 1.732
Answer:
Step-by-step explanation:
It is stated that a function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4.
Let 'x' be the number
Decreasing twice the number 'x' by 4 = 2x-4
Now,
Given the input x = 5
As the output will decrease twice the input (x=5) by 4
Thus, the output = 2(5)-4 = 10-4 = 6
Therefore,
2x^2 - 8x - 24
First, we can factor a 2 out of this expression to simplify it.
2(x^2 - 4x - 12)
Now, we can try factoring this two ways: by using the quadratic formula, or by using the AC method.
We're gonna try using the AC method first.
List factors of -12.
1 * -12
-1 * 12
2 * -6
-2 * 6 (these digits satisfy the criteria.)
Split the middle term.
2(x^2 - 2x + 6x - 12)
Factor by grouping.
2(x(x - 2) + 6(x - 2)
Rearrange terms.
<h3><u>(2)(x + 6)(x - 2) is the fully factored form of the given polynomial.</u></h3>
