.55*X=231 .....X=231/.55.......X= 420
Answers:
x = 6 and P = 128
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Explanation:
The tangents CT and CU are equal to each other. The rule is that tangent segments that meet at a common point are the same length.
Let's solve for x
CT = CU
3x = 18
x = 18/3
x = 6
Because CT = 18, this makes BC = BT+TC = 12+18 = 30
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For similar reasoning as mentioned earlier, we can say tangents BT and BV are the same length. This means BV = 12.
Segment CD = 52 and CU = 18, which makes UD = CD-CU = 52-18 = 34
From there, we can say segment DV = 34 also. This leads to BD = BV+VD = 12+34 = 46
Triangle BCD has the three sides
The perimeter is
P = sum of the three sides
P = (side1)+(side2)+(side3)
P = BC + CD + BD
P = 30+52+46
P = 82+46
P = 128
Now we have a negative exponent, which is the opposite of a positive exponent.
If a positive exponent means you're multiplying by 10s and it makes a number bigger by moving the decimal to the right, then
the opposite of this is that a negative exponent means you're dividing by 10s and making the number smaller by moving the decimal point to the left.
Examples:
The trick is to recognize that
is the same thing as 
and 
mean the same thing.
So, 
For your exercise, 
means you'll move the decimal point 24 places to the left, to make the number smaller.
They just added 100 each time so i think the answer is b
Use the Multiplication Distributive Property: (xy)^a = x^ay^a
3√64 3√a^6 3√b^7 3√c^9
Calculate
4 3√a^6 3√b^7 3√c^9
Use this rule: (x^a)^b = x^ab
4a^6/3 3√b^7 3√c^9
Simplify 6/3 to 2
4a^2 3√b^7 3√c^9
Use this rule: (x^a)^b = x^ab
4a^2b^7/3 3√c^9
Use this rule: (x^a) = x^ab
4a^2b^7/3 c^9/3
Simplify 9/3 to 3
<h2><u>
Answer: B. 4a^2b^2c^3(3√b)</u></h2>
<u><em>Question Number 2.</em></u>
Use this rule: √ab = √a√b√120√x
Simplify √120 to 2√30
2√30√x
Simplify
<h2><u>
Answer: A. 2√30x</u></h2>
