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
maksim [4K]
3 years ago
12

What is the radius of a circle with a center at (2,3) that contains the point (5, 7)?

Mathematics
1 answer:
lina2011 [118]3 years ago
6 0

Answer:

5

Step-by-step explanation:

(5-2)^2 + (7-3)^2 = radius^2

radius=√25

radius=5

You might be interested in
Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x)= 6x^1/3 + 3x^4/3. You must justify
irina [24]

Answer:

x-coordinates of relative extrema = \frac{-1}{2}

x-coordinates of the inflexion points are 0, 1

Step-by-step explanation:

f(x)=6x^{\frac{1}{3}}+3x^{\frac{4}{3}}

Differentiate with respect to x

f'(x)=6\left ( \frac{1}{3} \right )x^{\frac{-2}{3}}+3\left ( \frac{4}{3} \right )x^{\frac{1}{3}}=\frac{2}{x^{\frac{2}{3}}}+4x^{\frac{1}{3}}

f'(x)=0\Rightarrow \frac{2}{x^{\frac{2}{3}}}+4x^{\frac{1}{3}}=0\Rightarrow x=\frac{-1}{2}

Differentiate f'(x) with respect to x

f''(x)=2\left ( \frac{-2}{3} \right )x^{\frac{-5}{3}}+\frac{4}{3}x^{\frac{-2}{3}}=\frac{-4x^{\frac{2}{3}}+4x^{\frac{5}{3}}}{3x^{\frac{2}{3}}x^{\frac{5}{3}}}\\f''(x)=0\Rightarrow \frac{-4x^{\frac{2}{3}}+4x^{\frac{5}{3}}}{3x^{\frac{2}{3}}x^{\frac{5}{3}}}=0\Rightarrow x=1

At x = \frac{-1}{2},

f''\left ( \frac{-1}{2} \right )=\frac{4\left ( -1+4\left ( \frac{-1}{2} \right ) \right )}{3\left ( \frac{-1}{2} \right )^{\frac{5}{3}}}>0

We know that if f''(a)>0 then x = a is a point of minima.

So, x=\frac{-1}{2} is a point of minima.

For inflexion points:

Inflexion points are the points at which f''(x) = 0 or f''(x) is not defined.

So, x-coordinates of the inflexion points are 0, 1

7 0
3 years ago
Help me pleaseeeeeeeee!!!!
kozerog [31]

Answer:

3/7

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Over what interval is the graph of f(x) = –(x + 8)2 – 1 decreasiang<br><br><br><br> help
Degger [83]
Please use " ^ " to denote exponentiation:  

<span>f(x) = –(x + 8)^2 – 1 
Find the first derivative:  f '(x) = -2(x+8)(1)
Set this = to 0:  -2(x+8) = 0
solve for x:  x = -8
Divide the number line into subintervals based upon x=-8:

(-inf, -8) and (-8, inf)

Choose a test value for x from each interval, e. g., -10 from the first interval and 20 from the second.

Subst. this test value into the derivative, shown above.

If the result is + the function is incr on that interval; if - the fn. is decr.

Questions welcome!</span>
5 0
3 years ago
Solve for x. <br><br> −2 = 3/9x
dlinn [17]

Answer: -6 That’s your answer.

3 0
3 years ago
Choose the steps that show how to solve this problem using arithmetic
antiseptic1488 [7]

Answer:

1) find d or distance between numbers

2) equation: an=a1+(n-1)d

3) an is nth term

    a1 is first number in sequence

4 0
4 years ago
Other questions:
  • Please help me!
    15·2 answers
  • Factor completely 6a^3-10a^2+3a-5
    11·1 answer
  • What is the solution to this problem?<br> 4x - 12x =<br><br><br> ALGEBRA!
    10·2 answers
  • 5 ( 3x - 2) = 4 ( 2x + 1)
    7·2 answers
  • A. 5<br><br><br><br>b. 19<br><br><br><br>c. -11<br><br><br><br>d. 25
    8·1 answer
  • Quadrilateral RSTU has vertices at R(2,-2), S(4, -3), T(4-6), and U(2, - 7). Which of the following statements is true?
    13·1 answer
  • HELP I NEED HELP PLZ
    10·1 answer
  • Q1<br> 0.06 million = 6.2 thousand =<br> Give your answer to two de
    10·1 answer
  • I'll give brainliest for however solves it for me<br> And please no links
    9·2 answers
  • I need help fast!!!!!!​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!