Divide the figure into two rectangles:
12*3 (top) + 6*6 (bottom) = 72 yd^2
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
a
3
-
b
3
=
(
a
-
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
2
a
=
x
2
and
b
=
y
b
=
y
.
(
x
2
−
y
)
(
(
x
2
)
2
+
x
2
y
+
y
2
)
(
x
2
-
y
)
(
(
x
2
)
2
+
x
2
y
+
y
2
)
Multiply the exponents in
(
x
2
)
2
(
x
2
)
2
.
For the question 2
the square root of a is a^(1/2)
so you can multiply a^2 and a^(1/2)
to get a^2.5
(a^3)^2 is equal to a^6
Divide a^2.5by a^6
The answer is a^(-3.5)
or 1/a^(3.5)
Answer:
the slope is 4
Step-by-step explanation:
-you have to solve for y;keep y by itself on one side of the equation
-you start by subtracting 4x on both sides(to get rid of it on the left side of the equation). you end up with -y= -4x+6
-y must be positive when it is alone, so to make it a positive, you have to divide both sides of the equation by -1. you end up with y= 4x-6
-so now that we have y by itself and positive, we can identify the slope. (the slope will always be what is right next to x, in this case it is 4). so the slope is 4
