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
Oksanka [162]
3 years ago
10

What is the center of a circle represented by the equation (x-5)2+(y+6)2=42?

Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
4 0

\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-5)^2+(y+6)^2=42\implies [x-\stackrel{h}{5}]^2+[y-(\stackrel{k}{-6})]^2=(\stackrel{r}{\sqrt{42}})^2~~ \begin{cases} \stackrel{center}{(5,-6)}\\\\ \stackrel{radius}{\sqrt{42}} \end{cases}

kumpel [21]3 years ago
4 0

Answer:

<h2>(5, -6)</h2>

Step-by-step explanation:

The equation of a circle:

(x-h)^2+(y-k)^2=r^2

<em>(h, k)</em><em> - center</em>

<em>r</em><em> - radius</em>

<em />

We have:

(x-5)^2+(y+6)^2=42\\\\(x-5)^2+(y-(-6))^2=42

Therefore

h=5,\ k=-6,\ r^2=42\to r=\sqrt{42}

You might be interested in
PLEASE HELP! URGENT! Exponential function f is being represented by the table (photo attached) the function “g” is an exponentia
Y_Kistochka [10]

Answer:

C) Both functions are decreasing and both are positive on the interval (0;2)

Step-by-step explanation:

As known the exponent function has no minimum and has no maximum.

Otherwise exponent function can be only or increasing or decreasing for all x.

That means that in case y(x2)>y(x1) and  if x2>x1-  function is increasing.

That means that in case y(x2)<y(x1) and  if x2>x1-  function is decreasing.  

Lets check what is going on with the function f(x)

If x1=0        f(x1)=24

If x2=2        f(x2)=0

So    x2>x1 however f(x2)<f(x1)=> function is decreasing

Similarly g(x)

If x1=0   g(x1)=15

If x2=2   g(x2)=0

So x2>x1 however g(x2)<g(x1) => function is decreasing

So bothfunctions are decreasing.

Because f(x) is decreasing the function meaning with argument x1=0 has max in the interval x∈(0;2) And function meaning has the minimum if argument x2=2.   So the function F(x) in interval (0;2) is changing from 24 to 0 => is positive on the interval (0,2)

The same is with g(x) .  g(x) gonna be positive on the interval (0;2)

6 0
3 years ago
The 57th electron in an atom's electron configuration will be placed into which orbital? 5d 6d 4f 6p
cupoosta [38]
4F because when you go through the sequence that is what you get
7 0
3 years ago
Read 2 more answers
Find the X and Y intercepts of F(x)=x2+4x-12 vertex
katrin [286]

Answer:

20

Step-by-step explanation:

( x − 2 ) 2 − 16 Set y equal to the new right side. y = ( x − 2 ) 2 − 16 Use the vertex form, y = a ( x − h ) 2 + k , to determine the values of a , h , and k . a = 1 h = 2 k = − 16 Find the vertex ( h , k ) . ( 2 , − 16 )

7 0
3 years ago
i am a 2 digit number. I am the difference of two numbers whose sum is 36. The larger of these numbers is twice the smaller. Wha
inn [45]
I am the diffrence of the two numbers... sum is 36 so the larger is double the size of the smaller the only numbers that work are 24 and 12 so the diffrence would be 12
7 0
3 years ago
Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. How many mL would you give?
Vanyuwa [196]

Answer:

Correct choice is C. 2 mL.

Step-by-step explanation:

Given that Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. Now we need to find about how many mL would you give.

Let number of ml needed = x.

Since ratio of mg per mL will be fixed so we get equation:

\frac{mL}{mg}=\frac{x}{250}=\frac{1}{125}

\frac{x}{250}=\frac{1}{125}

x=\frac{1}{125} \times 250

x=\frac{250}{125}

x=2

Hence correct choice is C. 2 mL.

4 0
4 years ago
Other questions:
  • If y = 15 when X=12 find Y when X=32
    13·1 answer
  • What is the slope of the line that contains the points (3,1) and (2,-3)
    11·1 answer
  • The ratio of girls two boys on sports teams at school is 2 to 3 there are 300 students on sports teams how many girls are on spo
    10·1 answer
  • At a shelter 15%of the dogs are puppies. There are 60 dogs at the shelter. How many are puppies???? Will Mark BRAINLLEST
    11·2 answers
  • A trapezoid has an area of 13.5 square inches. If the bases are 3 and 6 inches what is the height?
    14·1 answer
  • If s(x) = x - 7 &amp; t(x) = 4x^2 - x + 3, which expression is equivalent to (t × s) (x)
    12·1 answer
  • Can you please help me
    15·1 answer
  • 3(x-1)-2x=2 Solve for x
    15·1 answer
  • Which of the following is true? a. The base of a logarithmic function can be a negative number. b. A logarithmic function is the
    7·2 answers
  • How would you answer 8 (4 + 2) im confused please help
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!