Since we want to solve for the variable <em>x</em>, we want to isolate <em>x</em>
a²x + (a - 1) = (a + 1)x ⇒ Distribute <em>x</em> to (a+1). Also, remove parentheses
a²x + a - 1 = ax + x ⇒ Subtract <em>a</em> from both sides
a²x - 1 = ax + x - a ⇒ Add 1 to both sides
a²x = ax + x - a + 1 ⇒ Subtract (ax + x) from both sides
a²x - (ax + x)= ax + x - a + 1 - (ax+x) ⇒ Simplify. Remember that multiplying positive by negative = negative
a²x - ax - x = ax + x - a + 1 - ax - x ⇒ Simplify
a²x - ax - x = -a + 1 ⇒ Factor out the <em>x</em> from a²x - ax - x
x(a² - a - 1) = -a + 1 ⇒ Divide both sides by (a² - a - 1)
<u>x = (-a + 1) / (a² - a - 1)</u>
However, we need to make sure that the denominator does not equal 0. Therefore, you set the denominator = 0 (just use the quadratic formula for this), and it gives that the denominator =0 when a = (1+√5)/2 AND (1-√5)/2
Therefore, the final answer is
x = (-a + 1) / (a² - a - 1) given that a ≠ (1+√5)/2, a ≠ (1-√5)/2
D. $43.264 is the correct answer
Answer:
3.2 ounces.
Step-by-step explanation:
Divide 5 percent by One Hundred,
5/100 = 0.05
Multiply 0.05 by 64
0.05x64= 3.2
Answer/Step-by-step explanation:
The corresponding segments of two similar figures are always proportional to each other. I'm other words, the ratio of their corresponding segments are equal.
The figures shown above in this question are not similar figures because their segments are not proportional to each other.
This is because:
DE/KL ≠ FG/MN
DE = 2 units
KL = 1 unit
FG = 1 unit
MN = 1 unit
DE/KL = 2/1 = 2
FG/MN = 1/1 = 1
Thus, DE/KL ≠ FG/MN.
Therefore, the figures are not similar.
Answer:
We use the formula:
Step-by-step explanation: