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Rainbow [258]
3 years ago
9

If the endpoints of the diameter of a circle are (−10, −8) and (−6, −2), what is the standard form equation of the circle?

Mathematics
2 answers:
balandron [24]3 years ago
7 0
First, find the midpoint of the diameter. the midpoint is the center of the circle.
[(-10+(-6)]/2=-8, [(-8+(-2)]/2=-5
so the center is at (-8, -5)
next, find the distance between the two points:
d=√[-6-(-10)]²+[-2-(-8)]²=√4²+6²=√52=2√13
half of the diameter is radius, r=half of 2√13=√13
standard equation for the circle is (x-h)²+(y-k)²=r², (h,k) being the center, r the radius
(x+8)²+(y+5)²=13 is the answer. 
Mekhanik [1.2K]3 years ago
3 0

Answer:

(x + 8)2 + (y + 5)2 = 13

Step-by-step explanation:

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Whats is the product?<br> (3x+y)(x2+2y+4
ipn [44]

Answer:

3x^{2}+2xy+6xy+12x+4y

Step-by-step explanation:

(3x+y)(x2+2y+4=+2xy+6xy+12x+4y

6 0
3 years ago
Read 2 more answers
Randall, Kira and Sean have 100 baseball cards altogether. Randall has twice as many as Kira and 10 more than Sean. How many bas
TEA [102]

Kira has 22 cards, Randall has 44 cards, and Sean has 34 cards

<u>Solution:</u>

Given that, Randall, Kira and Sean have 100 baseball cards altogether.

Randall has twice as many as Kira and 10 more than Sean.  

We have to find how many baseball cards does each person have?

Now, let the number of cards with Kira be "n", then number of cards with Randall will be "2n"

As Randall has "2n" cards, Sean will have 2n – 10

Now, total cards = 100  

<em>Randall cards + Kira cards + Sean cards = 100  </em>

2n + n + 2n – 10 = 100  

5n = 100 + 10  

5n = 110  

n = 22

So, kira has 22 cards, then, randall will have 2(22) = 44 cards and cards with sean = 44 – 10 = 34 cards.

Hence, kira has 22 cards, randall has 44 cards, and sean has 34 cards.

8 0
3 years ago
If your grocery bill came to $205.67 and was reduced to $145.90 after coupons, what is the percent decrease?
katrin [286]

Answer:

I believe the answer is -29.06%

4 0
3 years ago
Help please i am stuck on what to do
nikklg [1K]

Answer:

These are confusing Beth , b/c you have to remember that they will add to 100%

Step-by-step explanation:

so

green = 3*  yellow

100% = green + yellow + 35% + 25%

100% = 3* yellow + yellow +60%

40% = 4* yellow

10% = yellow

30% = green

there are 14 purples in the bag , which is 35% of total

14/.35 = 40

there are a total of 40 pins

so

4    are yellow  (10% of 40  or 40* 0.1)

12 are green    (30% of 40  or 40*0.3)

14  are purple  (35% of 40 or 40*0.35)

10  are grey  (25% of 40  or 40*0.25 )

see?  : |

6 0
3 years ago
In a two-step equation, you should take care of multiplication and division before addition and subtraction.
Vladimir79 [104]
I’m not sure if this is a question, but yes, i like to use “PEMDAS”.
Parentheses, exponents, multiply, divide, add, subtract.
You always go in order from left to right!
3 0
3 years ago
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