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
Degger [83]
2 years ago
9

Determine the center and radius: x2 + y2 - 10x + 8y -8 = 0​

Mathematics
1 answer:
Kipish [7]2 years ago
7 0

So our equation currently is ⇒ x^2+y^2-10x+8y-8 = 0

<u>Let's first move all the constant to one side and group 'like variables' together</u>:

      (x^2-10x)+(y^2+8y) = 8

<u>Now lets complete the square of both equations</u>

    (x^2-10x+25)+(y^2+8y +16) = 8 + 25 + 16\\(x-5)^2+(y+4)^2 = 49\\(x-5)^2+(y+4)^2 = 7^2

<u><em>Now we know the circle's general equation format is</em></u>:

   ⇒(x-h)^2+(y-k)^2 = r^2

  • (h, k) ⇒ coordinate of the center of the circle
  • r ⇒ length of radius of circle

<u>Thus the radius of the circle is 7</u>

<u></u>

Hope that helps!

You might be interested in
Perform the indicated operation.(3/a+2) + (4/a-5)
kipiarov [429]

Answer:

\frac{7(a-1)}{(a+2)(a-5)}

Step-by-step explanation:

To solve this operation we need to find the common multiple of both denominators and solve for a.

\frac{3}{a+2} + \frac{4}{a-5} =\frac{3(a-5)+4(a+2)}{(a+2)(a-5)} =\frac{3a-15+4a+8}{(a+2)(a-5)} =\frac{7a-7}{(a+2)(a-5)} =\frac{7(a-1)}{(a+2)(a-5)}

Thus, the solution is 7(a -1) / (a+2)(a-5)

8 0
3 years ago
6:
horrorfan [7]

Step-by-step explanation:

charging the phone for 1 minute ,it has 2%

i.e,1----->2

After 2 minutes from that time ,i.e total 3 minutes

it has 6% charge

i.e,3--------->6

from the both the above cases ,1 minute provide 2%=6/3

=2

Hence,

for getting 50%charge=50/2

=25 min

and,for 90 %charge=90\2

=45 min

8 0
2 years ago
The distance from the Earth to the moon is about 239,000 miles. Rewrite the distance in scientific notation.
egoroff_w [7]

Answer:

2.39 x 10^5 miles

Step-by-step explanation:

Although it is not usually written, there is always a .0 at the end of a number unless there is a specific decimal that was given.

So, the number here is 239,000.0 and if you count the number of spaces that the decimal needs to move in order to be in the correct spot for scientific notation (which is always after the first number), there is 5 spaces.

Therefore the answer is 2.39 x 10^5 miles.

4 0
1 year ago
The school band sold 3,305 raffle tickets to raise money for a trip to Disney World. Which equation shows the relationship betwe
Iteru [2.4K]
I believe it would be D.
4 0
3 years ago
Read 2 more answers
Factor the expression below x^2-64
Inessa [10]

Answer:

(x+8) (x-8)

Step-by-step explanation:

Since, both terms are perfect squares, factor using the different square formulas. a^2-b^2=(a+b)(a-b) where a = x and b = 8...

⭐ Answered by Kakashi ʕ •㉨• ʔ⭐

⭐ Brainliest would be appreciated, ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

6 0
3 years ago
Other questions:
  • 2 Points
    11·1 answer
  • Which image would provide a good counterexample to the statement below?
    15·1 answer
  • I need to know the anwser
    11·1 answer
  • Jennie rides her bike 12 miles per hour on a trail in the park. The trail is 18 miles long. The function, f, can be used to dete
    15·1 answer
  • PLEASE HELPPPPP
    15·2 answers
  • Exit
    10·2 answers
  • Please helpp algebra honors is so hard
    6·1 answer
  • .Margaret is treating her best friend to a birthday dinner. Before ordering, Margaret wants to have an idea of the final bill. T
    5·2 answers
  • A culinary club earns $1116 from a dinner service. They sold 32 adult meals and 60 student meals. An adult meal costs twice as m
    8·2 answers
  • Kiana wants to cover and area of her backyard with concrete patio stones in the shape of a right triangle each stone cost 0.42$
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!