Long Piece: 5x
Short Piece: x
(x) + (5x) = 72
6x = 72
x = 12
Long Piece: 5x = 5(12) = 60
Answer: 12 cm and 60 cm
Answer:
3
Step-by-step explanation:
As the CD line is parallel to x-axis hence the separation or length is measured on the x-axis i.e.
the length of CD = length of C - length of D = 7 - 4 = 3
Given:
The equation is
To find:
The simpler equivalent form and solve the given equation.
Solution:
We have,
It can be written as
Multiply both sides by 7.
Divide both sides by 3.
Therefore, the simpler equivalent form of the given equation is and the solution is x=4.
-8x + 4 > 5 - 3x
Adding 3x to both sides,
-5x + 4 > 5
Subtracting by -4 on both sides,
-5x > 1
Dividing both sides by -5,
x < - 1/5
Answer:
x can be 3, -3, i, or -i.
Step-by-step explanation:
If you can't find the factoring by looking at this, simplify the equation.
let
x
2
=
y
to make things easier to see
Now we have
y
2
−
8
y
−
9
=
0
See it now?
We can factor into
(
y
−
9
)
(
y
+
1
)
Now substitute back in
x
2
for
y
.
(
x
2
−
9
)
(
x
2
+
1
)
Since
(
x
2
−
9
)
is a difference of two squares,
(
x
−
3
)
(
x
+
3
)
Now we have
(
x
−
3
)
(
x
+
3
)
(
x
2
+
1
)
x can be 3, -3 for the first two parts
x
2
+
1
=
0
can become
x
2
=
−
1
Taking the positive and negative root means
x
=
±
√
−
1
Thus
x
=
±
i
in addition to 3 and -3.
