2^3 * 2^-5 = 2^(3 + (-5) = 2^(3 - 5) = 2^-2
Green or purple = 10
prob(green or purple) = 10/30 = 1/3
Answer:
The area of the shaded portion of the figure is
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The shaded area is equal to the area of the square less the area not shaded.
There are 4 "not shaded" regions.
step 1
Find the area of square ABCD
The area of square is equal to

where
b is the length side of the square
we have

substitute

step 2
We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):
The area of circle is equal to

The diameter of the circle is equal to the length side of the square
so
---> radius is half the diameter
substitute


Therefore, the area of 2 "not-shaded" regions is:

and the area of 4 "not-shaded" regions is:

step 3
Find the area of the shaded region
Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:
so
---> exact value
assume

substitute
Mmmmbrntnrjneuneunre unenriched
Answer:
A) -4x + 9y = 9
B) x -3y = -6
We multiply B) by 3
B) 3x -9y = -18 Then add it to A)
A) -4x + 9y = 9
-x = -9
x = 9
9 -3y = -6
3y = 15
y = 5
Step-by-step explanation: