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2 years ago

1 point What is the center and radius of a circle with equation (x-4)2 + (y - 2)2 = 4

Mathematics

1 answer:

abruzzese [7]2 years ago

3 0

Step-by-step explanation:

Find the Center and Radius (x-4)^2+y^2=4

(

−

)

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

−

)

(

−

)

Match the values in this circle to those of the standard form. The variable

represents the radius of the circle,

represents the x-offset from the origin, and

represents the y-offset from origin.

The center of the circle is found at

(

)

Center:

(

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Max observes the zoo and the library from a helicopter flying at a height of 200 times square root of 3 feet above the ground, a

juin [17]

Answer:

The distance between the zoo and the library is 400ft

Step-by-step explanation:

Let x be the distance between point G and the zoo

Let y be the distance between the zoo and the library

To solve this problem quickly, we use trigonometric relations

tan(angle) = opposite cathetus / adjacent cathetus

In this case

tan(30) = (200√3) / (x+y)

(x+y) = (200√3)/ tan(30)

(x+y) = 600 ft

For the other angle

tan(60) = (200√3) / (x)

(x) = (200√3)/ tan(60)

x = 200 ft

y = 600 ft - 200 ft = 400 ft

The distance between the zoo and the library is 400ft

7 0

3 years ago

Read 2 more answers

Margie has 5 times as many nickels as quarters. She has a total of $2.00.

stich3 [128]

Answer:

Part A:

n = 5q (1st equation)

0.05n + 0.25q = 2 (2nd equation)

Part B:

q = 4 ⇒ n = 5 * 4 = 20

Part C:

Margie has 20 nickels and 4 quarters, for a total of $ 2.00

Step-by-step explanation:

Let's recall that a nickel has a value of $ 0.05 and a quarter a value of $ 0.25.

Let n represent the number of nickels and q represent the number of quarters.

Part A:

Write a system of equations to represent the situation.

n = 5q (1st equation)

n * 0.05 + q * 0.25 = 2

0.05n + 0.25q = 2 (2nd equation)

Part B:

Replacing n in the 2nd equation to solve for q:

0.05n + 0.25q = 2

0.05 * 5q + 0.25q = 2

0.25q + 0.25q = 2

0.5q = 2

q = 2/0.5

q = 4 ⇒ n = 5 * 4 = 20

Part C:

Margie has 20 nickels and 4 quarters, for a total of $ 2.00

3 0

3 years ago

The Basketball Boosters Club plans a pancake supper to raise $1,200. They can serve 240 people. They

wolverine [178]

$\huge{ \mathfrak{ \underline{ Answer} \: \: ✓ }}$

let the number of

adults be x

children be y

Total number of people : adults + children

x + y = 240

x = 240 - y - [1]

Total money earned from adults :

6 × x = 6x

Total money earned from children :

2 × y = 2y

Therefore, total money = money earned from each Adult and children.

6x + 2y = 1200 -[2]

Now, let's plug the value of x from equation [1] into equation [2]

6 (240 - y) + 2y = 1200

1440 - 6y + 2y = 1200

-4y = 1200 - 1440

-4y = - 240

y = 60

let's plug the value of y in equation [1]

x = 240 - y

x = 240 - 60

x = 180

Hence, we get :

total adults = x = 180

total children = y = 60

Correct option is C

_____________________________

$\mathrm{ ☠ \: TeeNForeveR \: ☠}$

7 0

3 years ago

Lent receives per day?

Misha Larkins [42]

Answer:

Can you see my answer?

Step-by-step explanation:

Everytime i try answering it won't work. I just wanted to know if u can see this

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2 years ago

HELP HELP HELP OVER HERE EXTRA POINTS

Evgesh-ka [11]

Answer:

Step-by-step explanation:

the median of july is 8

the median of august is 10

median=middle number

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3 years ago