Value of the expression for x = 3 1/3 is 29.
Step-by-step explanation:
- Step 1: Simplify the expression 3(2x+6)−(3x+1)
⇒ 3(2x+6)−(3x+1) = 6x + 18 - 3x + 1 = 3x + 19
- Step 2: Find the value of the expression for x=3 1/3
⇒ x = 3 1/3 = 10/3
⇒ 3x + 19 = 3 × 10/3 + 19 = 29
The denominator of the second fraction is the difference of squares, so can be factored using the formula for that.
(n^2 -4) = (n -2)(n +2)
Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...
(n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2
This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).
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If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).
Answer: Isolate the variable by dividing each side by factors that don't contain the variable. x=−4
Step
Answer:
x = 4
Step-by-step explanation:
We can find RT
sin theta = opposite / hypotenuse
sin 60 = 2 sqrt(3) / RT
RT = 2 sqrt(3) / sin 60
RT = 2 srt(3) / ( sqrt(3) / 2)
RT = 4
tan theta = opp/ adjacent
tan 45 = x / RT
tan 45 = x / 4
4 tan 45 = x
4 * 1 = x
4 = x
Answer:
5. R = 6
6. D = 22
Step-by-step explanation:
5. The area formula is πr2.
If πr2=36π,
π can be canceled out from both sides.
Then, it is r2=36.
If we square root both sides, we get:
r=6 .
Therefore, the radius of your circle is 6.
6.A = 121 π
A = r² π
r² π = 121 π
r = √ 121 = 11
The diameter: d = 2 r = 2 * 11 = 22 units
