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
JulijaS [17]
1 year ago
10

Need help with homework

Mathematics
1 answer:
motikmotik1 year ago
4 0

We have two points describing the diameter of a circumference, these are:

\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}

Recall that the equation for the standard form of a circle is:

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

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

For this we use the following equation:

M=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})

Now, we replace and solve:

\begin{gathered} M=(\frac{-12+(-4)}{2},\frac{-4+(-10)}{2} \\ M=(\frac{-12-4}{2},\frac{-4-10}{2}) \\ M=(\frac{-16}{2},\frac{-14}{2}) \\ M=(-8,-7) \end{gathered}

The center of the circle is (-8,-7), so:

\begin{gathered} h=-8 \\ k=-7 \end{gathered}

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

r^2=\Delta x^2+\Delta y^2

In this case, we will solve the delta with the center coordinate and the B coordinate.

\begin{gathered} r^2=((-4)-(-8))^2+((-10)-(-7)) \\ r^2=(-4+8)^2+(-10+7)^2 \\ r^2=4^2+(-3)^2 \\ r^2=16+9 \\ r^2=25 \\ r=5 \end{gathered}

Therefore, the equation for the standard form of a circle is:

\begin{gathered} (x-(-8))^2+(y-(-7))^2=25 \\ (x+8)^2+(y+7)^2=25 \end{gathered}

In conclusion, the equation is the following:

(x+8)^2+(y+7)^2=25

You might be interested in
Someone answer please!!!
bazaltina [42]

Answer:

3.4

Step-by-step explanation:

both angles are equal, i.e 16x - 9 = 45.

the value of x is 3.375

8 0
3 years ago
Read 2 more answers
A rectangular deck
denpristay [2]
Both dimensions were increased by 127.

The other response seems more complex so probably ignore mine. I probably misinterpreted the question.

4 0
3 years ago
Read 2 more answers
Evaluate.<br><br><br><br> 2<br> -2<br> 4<br> undefined
LiRa [457]

Answer:

2

Step-by-step explanation:

We have to get the value of the expression of - ∛(- 8).

Now, we can write the expression as  

- ∛(- 8)  

=-\sqrt[3]{-8}

= -(-8)^{\frac{1}{3} } {Converting into exponent form}

= -[(-2)^{3} ]^{\frac{1 }{3} } {Since (- 2) × (- 2) × (- 2) = - 8}

= - [(-2)^{3\times \frac{1}{3} } ]{Since we know that  [x^{a}] ^{b} = x^{ab}}

= - [- 2]

= 2 (Answer)

8 0
3 years ago
Simplify -2[9 - (x + 7)].<br><br> -32 - x<br> -4 - x<br> -4 + 2x<br> -32 + 2x
saveliy_v [14]
-2(9 - x - 7)
= -2(2 - x)
= -4 + 2x

Answer:
-4 + 2x
4 0
3 years ago
Help me with this question please!
Zina [86]
84 divided by 3 equals 28 squared
5 0
3 years ago
Other questions:
  • 1. Which of the following equations has a solution of x = -5? Equation A------&gt; 16x-7=11x-32 Equation B------&gt; -4x- 10=2x+
    5·1 answer
  • What is the slope between (2,4) and(3,-6)
    8·2 answers
  • Choose the terminating decimal equivalent to:<br> 2<br> /5
    8·1 answer
  • Just #14 plz thanks!!!
    13·1 answer
  • The temperature was 54° at 7:00am. At 3:00pm on the same day, the temperature
    7·1 answer
  • Find the measure of the indicator arc
    10·1 answer
  • Given that<br> 5x:9=7:3<br> Calculate the value of <br> x
    13·2 answers
  • An 80 meter rope is suspended at its two ends from the tops of two 50 meter flagpoles. If the lowest point to which the midpoint
    15·2 answers
  • I need the answer please
    13·1 answer
  • Someone please help me with this.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!