Hey!
The lower quartile is 13
The upper quartile is 18
18-13 is 5
The IQR is 5
Hope this helps!
I'll abbreviate
and
, so the identity to prove is

On the left side, we can simplify a bit:


Then

So the establish the original equality, we need to show that

Combine the fractions:

We can rewrite the denominator as

then using the fact that
, we get

so that we have

as desired.
Answer:
72 units
Step-by-step explanation:
There are two ways to solve the problems.
Count graphically, horizontally there are 9 units, vertically there are 8 units in the rectangle. So the area is 9*8 = 72 units.
Alternatively, check the difference between two adjacent vertices,
1. between (4,-3) and (4,5), the difference is (0,8), or 8 units.
2. between (4,5) and (-5,5), the difference is (9,0), or 9 units.
So again, the area of the square is 8*9=72 units.
Answer:
y=-2x+3
Step-by-step explanation:
y=mx+b
m=-2,b=3
so, y=-2x+3
hopes this helps
X=75 since it is opposite to the 105 angle.