The complete factor from:
2x3 + 6x2 + 10x + 30
2x(x+3) + 10(x+3)
(x+3)(2x+10)
2(x+5)(x+3)
hope this help
Answer:
First Option: cos(x)
Step-by-step explanation:
What is given is csc(x) = 14/10
The graph lies in the first quadrant since 0 < x < pi/2
Create a triangle:
The length across is 14
The adjacent is 10
The length of the shorter side is root 96
Use the pythagorean theorem
BC^2 = 14^2 - 10^2
BC^2 = 196 - 100, 96
BC^2 = root 96/14
Recall SOH-CAH-TOA
Adjacent over Hypotenuse is cos
That is how the answer is cos(x)
The slope of the line is -1
F(x) = -x²-17 is not a translation.
A translation of this graph would either have something added to/subtracted from the end of the function (the c value) or something added or subtracted to x before it is squared. f(x) = -x²-17 is a reflection, as the coefficient of x² is negative.
Every other choice has something either added to or subtracted from either x before it is squared or from the end.
<em><u>Before you read this!!</u></em><em> To me, it looks like 8 is the entire length of lineJL, but it may only be the length of lineJM. I've written the steps for lineJL=8 NOT lineJM=8. If this is not the case and 8 is only the length of lineJM let me know so I can fix my answer!</em>
Step-by-step explanation:
The area of a triangle is A=1/2(b)(h)
B=base
H=height
Your height is found in the line in the middle of the triangle, for you it is 6.
The base is the long bottom line on the triangle (lineJL), for you it is 8.
So let's put it in.
A=1/2(8)(6)
A=24sq units (C)
