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Nutka1998 [239]
3 years ago
6

What expression is equivalent to (2^3)^-5

Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0

Answer:

2^-15 or 1/2^15

Step-by-step explanation:

3*-5 is -15 so that makes it 2^-15

Apply the exponent rule a^-b = 1/a^b

That changes it to 1/2^15

Hope this helped! :)

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If (−4, 11) and (−6, 5) are the endpoints of a diameter of a circle, what is the equation of the circle?
lora16 [44]

Answer:

A. (x+5)^2+(y-8)^2=100

Step-by-step explanation:

1. The standard form of the equation of a circle is (x-h)^{2} + (y-k)^2=r^2

2. To find the center we require the  midpoint   of the  2 given points

center =[\frac{1}{2}(-4-6),\frac{1}{2}(11+5)]

=(-5,8)

3. The radius is the distance from the centre to either of  the 2 given points calculate the radius using the  distance formula

d= \sqrt{(x_{2}+x_{1})^{2} +(y_{2}-y_{1})^{2}

let (x_{1},y_{1})= (-5,8) \\ and (x_2,y_2)=(-4,11)

r=\sqrt{(-4+5)^2+(11-8)^2} =\sqrt{81+9}=10

--> (x-(-5)^2+(y-8)^2=10^2

--> (x+5)^2+(y-8)^2=100

4 0
3 years ago
Read 2 more answers
PLEASE HELP I HAVE NO IDEA WHAT IM DOING!!!
algol13

Answer: 28.26


Step-by-step explanation:

What your looking for is called the annulus (or the difference of two concentric circles). You can find the annulus by subtracting the area of the inner circle from the area of the outer circle. Volume of a circle= πr²

You are given the diameter in these problems, so you need radius.

For the first circle (8 in one) :

8/2=4    r=4

A=3.14(4)²

A=50.24

For the second one (10 in one) :

10/2=5   r=5

A=3.14(5)²

A=78.5

To find the measure of the annulus, you subtract those numbers, getting 28.26


8 0
3 years ago
How do i solve x+y=2?
Aliun [14]
It’s unsolvable with out more context. What’s the rest of the problem.
8 0
3 years ago
Read 2 more answers
The area of a rectangular wall of a barn is 140 square feet. Its length is 6 feet longer than twice its width. Find the length a
Lubov Fominskaja [6]
Do you need to graph it?

3 0
2 years ago
Solve the inequality -6c< -12
sweet [91]

Answer: c<2

Step-by-step explanation:

-6c<-12

c<-12/-6

c<2

7 0
2 years ago
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