Answer:

Using Pedmas rule:

<u>subtract: 6-6 = 0</u>

<u>simplify the following</u>

<u>the numerator and denominator cancels out</u>

Answer:
x=4
Step-by-step explanation:
go it right on edge
Answer:
To 
view graph
Step-by-step explanation:
To
we can say that
then we find cut points. For y=0
⇒
as can be seen in the graph for any value of y greater that 0, x will always take values greater than 1, for values of y less than 0, x will take values less than 1
Answer: The exact length of segment HC is sqrt(3) units
The approximate length is roughly 1.73205080756888 (round that however you need to)
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Work Shown:
Let x = length of HC
Since AH = 3*HC, this means AH = 3*x
Draw out the picture. This step is optional but helpful in my opinion. The drawing is attached below.
After adding in the altitude BH, we have three similar triangles. So we can form the proportion shown below to solve for x
HC/BH = BH/AH
HC/3 = 3/AH ... replace BH with 3
x/3 = 3/AH ... replace HC with x
x/3 = 3/(3x) ... replace AH with 3x
x/3 = 1/x ... reduce
x*x = 3*1 ... cross multiply
x^2 = 3
x = sqrt(3) ... which is shorthand for "square root"
HC = sqrt(3)
HC = 1.73205080756888 which is approximate
Answer:
5x - 4 = 56
2x + 3 = 27
Step-by-step explanation:
2(5x - 4 + 2x + 3) = 166
10x - 8 + 4x + 6 = 166
14x - 2 = 166
+ 2 +2
14x = 168
divide both sides of the equal sign by 14
12
5(12) - 4 = 60 - 4 = 56
2(12) + 3 = 24 + 3 = 27