<h3>
Answer: 1</h3>
where x is nonzero
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Explanation:
We'll use two rules here
- (a^b)^c = a^(b*c) ... multiply exponents
- a^b*a^c = a^(b+c) ... add exponents
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The portion [ x^(a-b) ]^(a+b) would turn into x^[ (a-b)(a+b) ] after using the first rule shown above. That turns into x^(a^2 - b^2) after using the difference of squares rule.
Similarly, the second portion turns into x^(b^2-c^2) and the third part becomes x^(c^2-a^2)
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After applying rule 1 to each of the three pieces, we will have 3 bases of x with the exponents of (a^2-b^2), (b^2-c^2) and (c^2-a^2)
Add up those exponents (using rule 2 above) and we get
(a^2-b^2)+(b^2-c^2)+(c^2-a^2)
a^2-b^2+b^2-c^2+c^2-a^2
(a^2-a^2) + (-b^2+b^2) + (-c^2+c^2)
0a^2 + 0b^2 + 0c^2
0+0+0
0
All three exponents add to 0. As long as x is nonzero, then x^0 = 1
Answer:
(1 , 6)
Step-by-step explanation:
the center of the circle is the midpoint of the diameter
Which is the point of coordinates:
Then the center is the point :
(3,9)(5,15)
slope = (15 - 9) / (5 - 3) = 6/2 = 3
y = mx + b
slope(m) = 3
(3,9)...x = 3 and y = 9
sub and find b, the y int
9 = 3(3) + b
9 = 9 + b
9 - 9 = b
0 = b
so ur equation is : y = 3x + 0....can be written as y = 3x.
after 12 months...
y = 3x...x = 12
y = 3(12)
y = 36 inches
<em>Answer:</em>
<u>Tony</u> has 45 dollars
<u>Milan</u> has 15 dollars
<u>Lucy</u> has 25 dollars
<em>Explanation:</em>
<u>Let </u><u><em>x</em></u><u> represent the amount of money Milan has in his wallet.</u>
TONY: 3x
MILAN: x
LUCY: x+10
<u>Lucy, Milan, and Tony have a total of $85 in their wallets. Hence, the following equation.</u>
<u />
3x+x+x+10=85
5x+10=85
5x=75
x=75/5
x=15
Tony has 45 dollars (3*15=45)
Milan has 15 dollars (x=15)
Lucy has 25 dollars (10+15=25)
Answer:
1 hundreths is 10 times greater than 1 thousandths.
Step-by-step explanation:
just like 100 is ten times greater than 10.
