first you put this equation into y=mx+b form then you look at the slope of the equation. if both of the slopes are same then its parallel.
When multiplying two powers that have the same base, you can add the exponents.
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: 2/5
Step-by-step explanation:
Number of cans of red paint = 3
Number of cans of blue paint = 5
Number of cans of green paint = 8
Number of cans of yellow paint = 4
Total number of cans of paint = 20
The probability that Eduardo will
choose a can of red paint or a can of blue will be:
= P(red) + P(blue)
= 3/20 + 5/20
= 8/20
= 2/5
The probability is 2/5.
The expression is equivalent to 49/8.
