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3 years ago

This circle is centered at the origin, and the length of its radius is 2. What iS

Mathematics

1 answer:

Igoryamba3 years ago

3 0

Answer:

Step-by-step explanation:

If the center of the circle is at the origin, the general formula for the circle is

x^2 + y^2 = r^2.

Since r = 2 units in this particular problem, the equation of the circle is:

x^2 + y^2 = 2^2, or x^2 + y^2 = 4

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(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

5 0

3 years ago

Will give brainlst Have a nice day

Zarrin [17]

Answer:

ok where are you from which country

5 0

2 years ago

If a bottle rotates through 250 degrees in 50 min,how many degress will it rotate in 5 min

sp2606 [1]

There is more than one way to solve this.
250° : 50min.
You can divide each side by ten for 5 minutes.
50/10 = 5 minutes
250/10 = 25°

3 0

3 years ago

A Stegosaurus eats six and two fifths big leaves for breakfast and three and one fifth big leaves for lunch. How many leaves did

Mkey [24]

Answer:

9 and 3/5

Step-by-step explanation:

Nine and Three Fifths

7 0

3 years ago

Read 2 more answers

Evaluate the polynomial 6x - y for x= -3 and Y=2. A.15 B. -20 C.4 D.-16

ra1l [238]

I think the answer is B.
6(-3)=-18, and y=2
so 6x-y=-18-2=-20

6 0

3 years ago