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
Amita's kitchen is rectangular with an area of 3 and 3/4 square meters the width of the kitchen is 1 and 1/2 m what is the lengt
shtirl [24]

Answer:

2 1 ÷ 2

Step-by-step explanation:

Given that

The kitchen of Amita would be a rectangular area contains 3 and 3 ÷ 4 square meters

And, the width of her kitchen is 1 and 1 ÷ 2 meter

So based on the above information, the length of Amita kitchen is

Here you divide the rectangular area by the width

= (3 and 3 ÷ 4) ÷ (1 and 1 ÷ 2)

= 2 and 1 ÷ 2

Hence, the  length in meters of Anita's kitchen is  2 and  1 ÷ 2  

6 0
3 years ago
Equivalent expression to 3(4m-2)-2(m+5
wolverine [178]

Answer:

10m - 16

Step-by-step explanation:

1.  Perform the indicated multiplication.  We get 12m - 6 - 2m - 10.

2.  Combine like terms:  We get 10m - 16

4 0
3 years ago
Can someone pls help me / alguien me puede ayudar
user100 [1]

Answer:

The simplified expression is:

\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)=0.2y+0.2x-8

Step-by-step explanation:

Given the expression

\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

=\frac{2}{5}y+\frac{1}{5}x-0.2y-6-2

\mathrm{Group\:like\:terms}

=\frac{2}{5}y-0.2y+\frac{1}{5}x-6-2

Add similar elements

=0.2y+\frac{1}{5}x-6-2

=0.2y+\frac{x}{5}-6-2

=0.2y+\frac{x}{5}-8

=0.2y+0.2x-8

Thus, the simplified expression is:

\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)=0.2y+0.2x-8

6 0
3 years ago
renu is 2 times older than suman. Anita is 9 years older than suman and 6 years younger than renu. jif some of their ages is 69,
SashulF [63]

Answer:

suman is 15 and renu is 30 anita is 24

Step-by-step explanation:

15+30+24+69

3 0
3 years ago
Pls anwer this qestion it is worth 30 points
Sveta_85 [38]

Answer:

49

Step-by-step explanation:

25b² + 70b + ....

( 5b + 7)² = 5×5b² + 2×5×7b + 7×7 = 25b² + 70b + 49

6 0
2 years ago
Other questions:
  • Please help me thank youu
    15·1 answer
  • How does -3-10= -13? Please explain
    5·2 answers
  • Explain what circumference and area have in common and how they are different.
    13·2 answers
  • Earning a 6% pay increase to current $62,900 annual salary
    9·1 answer
  • In quadrilateral abcd the measures of the angles are represented by measure angle a=6x-2, measure angle b=6x+5, measure angle c=
    7·2 answers
  • Suppose you did a hypothesis test using a one-factor ANOVA that produces an F-ratio of F = 3.51. If you tested at alpha, α = 0.0
    9·1 answer
  • Why is 4 + (−3) equal to 1?
    9·1 answer
  • On a number line, show all points whose coordinates satisfy the following inequalities: PLEASE SHOW ON A NUMBER LINE PLEASE DO W
    12·1 answer
  • Alan is putting weed killer on a field to get it ready for planting. The directions on the can say to use 4/5 of a quart for eac
    6·1 answer
  • Sarah earned a 4% commission on all of her sales in March. Her total sales were 80,000 in March, How many money did she earn. Fr
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!