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2 years ago

I need hellp answer it

Mathematics

1 answer:

patriot [66]2 years ago

7 0

Answer:

Step-by-step explanation:

Finding the center.

The general formula for a circle is

(x - a)^2 + (y - b)^2 = r^2

The center is a and b. The center is marked as (6,5)

So the equation becomes

(x - 6)^2 + (y - 5)^2 = r^2

Finding the radius

The radius is found by calculating the distance between the center and any point on the circumference.

The point given on the circumference is (8,8)

x1 = 8

x2 = 6

y1 = 8

y2 = 5

r^2 = (8 - 6)^2 + (8 - 5)^2

r^2 = 2^2 + 3^2

r^2 = 4 + 9

r^2 = 13

Answer

(x - 6)^2 + (y - 5)^2 = 13

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How do u solve two points using the distance formula?

aliya0001 [1]

Step-by-step explanation:

For two points (x₁, y₁) and (x₂, y₂), the distance between them is:

d² = (x₁ − x₂)² + (y₁ − y₂)²

The order of points 1 and 2 don't matter. You can switch it:

d² = (x₂ − x₁)² + (y₂ − y₁)²

This is basically the Pythagorean theorem for a coordinate system.

Let's do an example. If you have points (1, 2) and (4, 6), then the distance between them is:

d² = (4 − 1)² + (6 − 2)²

d² = 3² + 4²

d² = 9 + 16

d² = 25

d = 5

If you have points with negative coordinates, remember that subtracting a negative is the same as adding a positive.

For example, the distance between (-1, -2) and (4, 10) is:

d² = (4 − (-1))² + (10 − (-2))²

d² = (4 + 1)² + (10 + 2)²

d² = 5² + 12²

d² = 25 + 144

d² = 169

d = 13

3 0

3 years ago

Pls pls help me I need it and the other one pls guys

snow_lady [41]

do u need all the answers?

3 0

3 years ago

Velma must make five bottles of lemonade for the kids playing outside. Each bottle requires 3⁄4 cup of sugar. How much sugar doe

Ket [755]

The total number of cups of sugar needed will be given by:
Total amount=(number of bottles)×(number of cups of sugar per box)
number of bottles to be made is 5 bottles
number of cups per box is 3/4
thus the total number of cups required will be:
Total amount=3/4×5=3 3/4 cups

6 0

3 years ago

X-3/2=x+8/6 solve the proportion

Aneli [31]

Answer:

x = 17/2

Step-by-step explanation:

x-3 x+8

------ = ------------

2 6

Using cross products

(x-3) *6 = 2 (x+8)

Distribute

6x - 18 = 2x+16

Subtract 2x from each side

6x-2x-18 = 2x-2x+16

4x-18 = 16

Add 18 to each side

4x-18+18 = 16+18

4x = 34

Divide each side by 4

4x/4 = 34/4

x = 17/2

8 0

3 years ago

Maria invested a total of 31,000 in two account, first account earned a rate of 14%. How ever second account suffer a 10% loss i

Maslowich

Answer:the amount of money that Maria invested in the first account is $20000

the amount of money that Maria invested in the second account is $11000

Step-by-step explanation:

Let x represent the amount of money that Maria invested in the first account.

Let y represent the amount of money that Maria invested in the second account.

Maria invested a total of 31,000 in the two account. This means that

x + y = 31000

The first account earned a rate of 14%. This means that the amount earned on the first account is 14/100×x = 0.14x

However, the second account suffered a 10% loss in the same time. This means that the amount lost is

10/100×y = 0.1y

At the end of one year the total amount money gain 1,700. This means that

0.14x - 0.1y = 1700 - - - - --1

Substituting x = 31000 - y into equation 1, it becomes

0.14(31000 - y)- 0.1y = 1700

4340 - 0.14y - 0.1y = 1700

- 0.14y - 0.1y = 1700 - 4340

-0.24y = -2640

y = 2640/0.24 = 11000

x = 31000 - y = 31000 - 11000

x = 20000

7 0

3 years ago