<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
The equation of line parallel to
and containing the point(-10,-3) is 
Step-by-step explanation:
We need to write the equation parallel to and containing the point(-10,-3)
The standard form of point slope equation is:
where m is slope and b is y-intercept
Comparing the given equation with standard form the slope is m= -1/5
Since the lines are parallel the slope of new line is m = -1/5
Now finding b (y-intercept)
Using slope m=-1/5 and point (-10,-3)
So, b= -5 and slope = -1/5 the equation of new line is:
So, The equation of line parallel to and containing the point(-10,-3) is
Keywords: Point Slope form
Learn more about point slope form at:
#learnwithBrainly
Answer:
3.4
Step-by-step explanation:
Let the original price of the bag be = P, the selling price =2.89 after a 15% discount,
Then, Selling price= Original price- Discount on original price
Thus, the original price was 3.4.
0.12 I think I’m not sure how to do this I ji at have an idea maybe I’m super wrong
Answer:
a) 79.6
b) 437.8
Step-by-step explanation:
First, you have to do 318.4/4 to find the rate she goes in the duration of an hour. The rate is 79.6, which means she travels at a rate of 79.6 kilometers per hour.
Then, you have to find the distance she takes to travel in 5.5 hours, so you have to do 5.5*79.6 which is 437.8.
So, Hannah travels 437.8 kilometers in 5.5 hours.
