Answer:
B.
Step-by-step explanation:
To simplify something that looks like 
you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:
.
If you had 
, then you would multiply top and bottom the conjugate of which is 
.
The conjugate of a+b is a-b.
These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.
Let's see:
(a+b)(a-b)
I'm going to use foil:
First: a(a)=a^2
Outer: a(-b)=-ab
Inner: b(a)=ab
Last: b(-b)=-b^2
--------------------------Adding.
a^2-b^2
See -ab+ab canceled so all you had to do was the "first" and "last" of foil.
This would get rid of square roots if a and b had them because they are being squared.
Anyways the conjugate of 
is
.
This is the thing we are multiplying and top and bottom.
Answer:
Step-by-step explanation:
Rewrite
100
x
2
100
x
2
as
(
10
x
)
2
(
10
x
)
2
.
(
10
x
)
2
+
60
x
+
9
(
10
x
)
2
+
60
x
+
9
Rewrite
9
9
as
3
2
3
2
.
(
10
x
)
2
+
60
x
+
3
2
(
10
x
)
2
+
60
x
+
3
2
Check the middle term by multiplying
2
a
b
2
a
b
and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
(
10
x
)
⋅
3
2
a
b
=
2
⋅
(
10
x
)
⋅
3
Simplify.
2
a
b
=
60
x
2
a
b
=
60
x
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
10
x
a
=
10
x
and
b
=
3
b
=
3
.
(
10
x
+
3
)
2
Answer:
x = - 
Step-by-step explanation:
Given
x + 2 = 
Multiply through by 24 ( the LCM of 6 and 8 ) to clear the fractions
20x + 48 = 21 ( subtract 48 from both sides )
20x = - 27 ( divide both sides by 20 )
x = -
Answer:
Two points, (0,4) & (8,5)
Step-by-step explanation:
In this equation, we can easily find the first point by looking at the +4 in this equation. This should automatically signal to you that the point is (0,4)
Now, we have to look at the 1/8x in the equation.
This 1/8 means that the slope is 1/8!
Now we use the slope and to rise/run to find our next point
We go up 1 from 4 (this is the rise) to get to 5 on the y-axis
Next, we go over 8 horizontally to get to 8 for your x-axis point.
So therefore, our next point is, (8,5)
You can use this rise/run system infinitely and is very useful
