A.) There are many different expressions that can be equivalent to 4/2 and -2/3, but you just need one expression. <em>4/2 is equivalent to 2/1 and -2/3 is equivalent to -4/6.</em>
Reason:
There are two ways you can find a fraction equivalent to another.
1.) First one is by reducing the fraction if possible.
Example: <em>5/10=1/2, 10/30=1/3, 9/16=3/4.</em>
<em />
2.) The second one is by multiplying the numerator and the denominator by the same number, usually by 2 or 3.
Example: <em>1/2 x 2/2 = 2/4, </em> so <em>1/2= 2/4.</em> Another: <em>1/3 x 3/3 = 3/9</em>, so <em>1/3=3/9</em>
<em>That said, 4/2 = 2/1 because it was reduced. While -2/3 = -4/6 because it was multiplied by 2/2. </em>
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The least common multiple of 4 and 6 is 12.
Answer:
A) (x - 5)² = 36
Step-by-step explanation:
x² - 10x - 11 = 0
A) CORRECT
(x - 5)² = 36
x² - 10x + 25 = 36
x² - 10x + 25 - 36 = 0
x² - 10x - 11 = 0
Let's solve for a.
p
x
=
x
3
−
4
x
2
+
a
Step 1: Flip the equation.
x
3
−
4
x
2
+
a
=
p
x
Step 2: Add -x^3 to both sides.
x
3
−
4
x
2
+
a
+
−
x
3
=
p
x
+
−
x
3
−
4
x
2
+
a
=
−
x
3
+
p
x
Step 3: Add 4x^2 to both sides.
−
4
x
2
+
a
+
4
x
2
=
−
x
3
+
p
x
+
4
x
2
a
=
−
x
3
+
p
x
+
4
x
2
Answer:
a
=
−
x
3
+
p
x
+
4
x
2
