Simplify the expression. Write your answer as a power. (−5/7)^8⋅(−5/7)^9
1 answer:
Answer:
Step-by-step explanation:
The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:
Where b is the base and a and c are exponents.
Then simplify it by rewriting the base () and adding the exponents of the expression (8 and 9).
You will get the expression simplified and written as a power:
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Answer:
(x-4)^2 + (y-2)^2 = 3^2
or
(x-4)^2 + (y-2)^2 = 9 (simplified if needed)
Step-by-step explanation:
-Equation of a circle is:
where the center is (h, k) and the radius is
.
-Place the center and the point onto that equation:
-Then, you solve:
-So, the result is:
or
(simplified if needed)
Answer:
First you should remember that the formula for calculating area of a rectangle is;
Area=Length × width
You can decide to have a rectangle with different dimensions provided the area is 24 square unit
For this case, lets choose a rectangle with vertices at (1,0), (7,0),(1,4), (7,4)
After plotting these coordinates, you will notice your rectangle has a length of 6 units and a width of 4 units
A single unit is 1 square unit.When you Count the number of units inside the rectangle formed you realize you have 24 units covered inside
The area of the 24 units will be;
24×1 square unit= 24 square units
