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Dvinal [7]
3 years ago
11

How to find equation of a circle given center and point?

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0
Example 1:  Find the equation of a circle whose center is at (2, - 4) and radius 5.
Solution to Example 1:
given      (h , k ) = (2 , - 4) and r = 5
substitute h, k and r in the standard equation
(x - 2)2 + (y - (- 4))2 = 52
(x - 2)2 + (y + 4)2 = 25
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Three times the difference of a number and 9 is -3. Find the number
Drupady [299]
3(n-9)=-3
3n-27=-3
3n=-30
n=-10
4 0
3 years ago
Certain items are purchased jointly. If each person pays 8 coins, the surplus is 3 coins, and if each person gives 7 coins, the
Karo-lina-s [1.5K]

Answer:

7 people purchase the items and they used 53 coins

Step-by-step explanation:

Let x represent the number of people.

Let y be the number of coins needed to purchase the items.

If each person pays 8 coins, the surplus is 3 coins. This is illustrated below:

8x = y + 3 (1)

if each person gives 7 coins, the deficiency is 4 coins. This is illustrated below:

7x = y — 4 (2)

Solving by elimination method: subtract equation(2) from equation (1). This is illustrated below:

8x = y + 3 (1)

— (7x = y — 4) (2)

x = 7.

Next, Substituting the value of x into any of the equation to obtain y. In this case I will be using equation 1 as illustrated below:

8x = y + 3 (1)

8(7) = y + 3

56 = y + 3

Collect like terms

y = 56 — 3

y = 53

Therefore, 7 people purchase the items and they used 53 coins

7 0
3 years ago
A tank of water holding 528 kl of water begain to empty at a rate of 10 kl/min at the same time a another tank whitch is empty b
torisob [31]
This is a system of equations.  The first equation represents the tank being emptied and the second equation represents the tank being filled:

k = -10t + 528
k = 14t

To solve this system of equations, we will use substitution. The second equation says that k is equal to 14t, so we can substitute 14t for k in the first equation.

14t = -10t + 528
24t = 528
t = 22

Now that we have t, we can use it to find k by plugging it in to the second equation:

k = 14(22)
k = 308

So, it will take 22 minutes for both tanks to hold equal amounts of water. They will each hold 308 kiloliters.
8 0
3 years ago
Which values are equivalent to the fraction below? Check all that apply.
artcher [175]

Answer:

c

Step-by-step explanation:

hope this hellpppeedd

5 0
3 years ago
Read 2 more answers
christine baked 55 with 11 scoups of flour, how many scoups of flour does christine need in order to bake 70 cookies
Georgia [21]
She will need 14 scoops of flour
5 0
3 years ago
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