Greatest Common Factors are the greatest numbers that go into a given group of numbers. The GCF of 54 and 84 is 6.
Answer:
CD = 3.602019190339
Step-by-step explanation:
CD = DA - CA
DA = DB×Cos(29) = 18.7×cos(29) = 16.355388523507
BA = BA×cos(43) = 18.7×cos(43) = 13.676314220278
CA = BA÷tan(47) = 13.676314220278÷tan(47) = 12.753369333168
Then
CD = 16.355388523507 - 12.753369333168 = 3.602019190339
<h3>
Answer: (x-2)(x+2)(x+3)(x+3)</h3>
This is the same as (x-2)(x+2)(x+3)^2. The order of the factors doesn't matter.
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Explanation:
x^2-4 factors to (x-2)(x+2) after using the difference of squares rule
x^2+6x+9 factors to (x+3)(x+3) after using the perfect square trinomial factoring rule
So overall, the original expression factors to (x-2)(x+2)(x+3)(x+3)
We can condense this into (x-2)(x+2)(x+3)^2 since (x+3)(x+3) is the same as (x+3)^2
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Side notes:
- Difference of squares rule is a^2 - b^2 = (a-b)(a+b)
- The perfect square trinomial factoring rule is a^2+2ab+b^2 = (a+b)^2
Answer:
x=4/7
Step-by-step explanation:
6 - 2/3(x+5) = 4x
First I want to clear the fraction so I will multiply everything by 3
3*6 -3* 2/3(x+5) = 3*4x
18 - 2(x+5) =12x
Distribute
18 - 2x-10 =12x
Combine like terms
8 -2x = 12x
Add 2x to each side
8 -2x+2x =12x+2x
8 = 14x
Divide each side by 14
8/14 =14x/14
8/14=x
Divide top and bottom by 2
4/7=x
Y=2
if you substitute 2y in for x, you get 2y+1y=6. that is also 3y=6. 6 divided by 3 is 2 so y=2.
