F(x) slope is bigger than g(x) as 6>2
G(x) because 6 is the slope of g(x) and -6 is the slope of f(x)
Angle O=64
Side m=7.3159882(rounded if needed)
Side n=16.68902(round if needed)
We are given
Angle M which equal 26.
Angle N equals 90 degrees
Side MN which equal 15.
We are asked to find all the missing elements of the triangle.
- Angle O can be found using triangle interior theorem so we can add 90+26+x =180 to find the value that satisfies the x value.



Angle O=64 degrees
We can find side m by doing law of sines.



which is 7.315(round if neeeded).
We can find side n using pythagorean theorem,



Side n=16.689(round if needed)
Answer:
13
Step-by-step explanation:
(n-2) +(n-1) +n =3n-3=36
n=(36+3)/3=13
Consecutive integers are 11,12 and 13
The general formula for the distance between two points is

Anyway, if A and B have the same x or y coordinates, this formula can be simplified. For example, in this case the two points have the same x coordinate of -8, so the following part of the formula simplifies:

So, we're left with

but the square root of a square is the absolute value of the object being squared:

which is this case means 
which is the correct length of the side.
Answer:
D
Step-by-step explanation:
Probability of falling NOT in the shaded region is "area of white region" <em>divided by</em> "area of whole rectangle (big one)".
<u>Area of whole rectangle:</u>
Area of rectangle = length * width = 10 * 5 = 50
<u>Area of White Region:</u>
First, area of shaded region = length * width = 4 * 2 = 8
Now,
Area of white region = area of whole rectangle - area of shaded rectangle
Area of white region = 50 - 8 = 42
Hence, probability is 
0.84 = 84%
Answer choice D is right.