1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ddd [48]
4 years ago
5

the equation (X-2)^2 +(y+4)^2=r^2 represents circle O. The point C(2,0) lies on the circle. What is r, the length of the radius

of circle O?
Mathematics
1 answer:
Rzqust [24]4 years ago
6 0

Answer:

4

Step-by-step explanation:

(x - 2)^2 + (y + 4)^2 = r^2

You are given a point on the circle, (2, 0).

Plug in 2 for x and 0 for y.

The only variable remaining is r.

Solve for r which is the radius.

(2 - 2)^2 + (0 + 4)^2 = r^2

0^2 + 4^2 = r^2

16 = r^2

r = 4

Answer: The length of the radius is 4.

You might be interested in
(-2/3)^7*(3/5)^6*(5/6)^5*(1/3)^-7 simplify of law of indices ​
Wewaii [24]

Answer:

\boxed {-\frac{12}{5}}

Step-by-step explanation:

Solve the following expression:

(-\frac{2}{3})^{7} \times (\frac{3}{5})^{6} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-Calculate -\frac{2}{3} to the power of 7:

(-\frac{2}{3})^{7} \times (\frac{3}{5})^{6} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-\frac{128}{2187} \times (\frac{3}{5})^{6} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-Calculate \frac{3}{5} to the power of 6:

-\frac{128}{2187} \times (\frac{3}{5})^{6} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-\frac{128}{2187} \times (\frac{729}{15625}) \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-Multiply both -\frac{128}{2187} and \frac{729}{15625}:

-\frac{128}{2187} \times (\frac{729}{15625}) \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-\frac{128}{46875} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-Calculate \frac{5}{6} to the power of 5:

-\frac{128}{46875} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-\frac{128}{46875} \times (\frac{3125}{7776}) \times (\frac{1}{3})^{-7}

-Multiply both -\frac{128}{46875} and \frac{3125}{7776}:

-\frac{128}{46875} \times (\frac{3125}{7776}) \times (\frac{1}{3})^{-7}

-\frac{4}{3645} \times (\frac{1}{3})^{-7}

-Calculate \frac{1}{3} to the power of -7:

-\frac{4}{3645} \times (\frac{1}{3})^{-7}

-\frac{4}{3645} \times 2181

-Multiply both the -\frac{4}{3645} and 2187:

-\frac{4}{3645} \times 2181

\boxed {-\frac{12}{5}}

Therefore, the final answer is -\frac{12}{5}.

3 0
3 years ago
1. Evaluate the expression when x=2, y = 3, and z= -9:
kupik [55]

Answer:

-7

Step-by-step explanation:

substitute the given values into the expression

xy-<em>x</em>

<em>(</em>-2 times 3<em>)</em>-1

-6 - 1 = -7

6 0
3 years ago
I need help ASAP!!!!!
Alla [95]

 If we know that two sets of corresponding angles and the corresponding included sides are congruent in two triangles, what can we say about the triangles?


3 0
3 years ago
Limit question please?
Ksivusya [100]
The easiest way to evaluate the limit is to simply subsitute the value into the function

as x approaches -3
just subsitute -3 for x

(-3)³=(-3)(-3)(-3)=-27
answer is -27
7 0
4 years ago
Complete the statement.
mario62 [17]

Answer:

B

Step-by-step explanation:

edg 2020

8 0
3 years ago
Read 2 more answers
Other questions:
  • A prism has isosceles triangle bases with leg lengths of 5 inches,5 inches and 8 inches, and a height of 3 inches.The distance b
    9·1 answer
  • The retail cost of a tv is 45% more than its wholesale cost. Therefore the the retail cost is how many times the wholesale cost
    8·2 answers
  • .........????? hellpppppp
    9·1 answer
  • For a function f(x), hypothesize what would happen to the graph if multiple k-values were introduced into the function notation
    11·1 answer
  • Can someone helping me?
    8·2 answers
  • Y= 3x - 6 what is the slope??
    6·1 answer
  • Reggie wants to save $86.10. He plans to save $10.25 each month.
    8·2 answers
  • Find the length of side YZ
    14·1 answer
  • A restaurant offers delivery for their pizzas. The total cost is a delivery fee added to the price of the pizzas. One customer p
    10·1 answer
  • Find the highest number which divides 144,384 and 432 without leaving remainder​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!