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White raven [17]
3 years ago
7

(09.04 mc) a circle has its center at (−1, 2) and a radius of 3 units. what is the equation of the circle? (x − 1)2 + (y + 2)2 =

3 (x + 1)2 + (y − 2)2 = 3 (x + 1)2 + (y + 2)2 = 9 (x + 1)2 + (y − 2)2 = 9
Mathematics
2 answers:
zheka24 [161]3 years ago
8 0

Answer:

The answer is the last one (x+12+(y-2)2=9

Step-by-step explanation:

Reil [10]3 years ago
4 0
General formula to make an equation of circle
(x - a)² + (y - b)² = r²


Given:
the center (a,b) = (-1,2)
the radius r = 3

Solution:
plug the numbers to the formula
(x - a)² + (y - b)² = r²
(x - (-1))² + (y - 2)² = 3²
(x + 1)² + (y - 2)² = 9
The answer is the last option
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Wht are the next three terms in the sequence -3 6 15 24
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6--3=9
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You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed
k0ka [10]

Answer:

625 ft^2

Step-by-step explanation:

Given

P = 100 --- perimeter

Required

The largest area

The perimeter is calculated as:

P = 2 * ( L + W)

So, we have:

2 * ( L + W) = 100

Divide both sides by 2

L + W  = 50

Make  L the subject

L = 50 - W

The area is calculated as:

A= L * W

Substitute L = 50 - W

A= (50 - W) * W

Open bracket

A = 50W - W^2

Differentiate with respect to W

A' = 50 -2W

Set to 0; to get the maximum value of W

50 - 2W = 0

Collect like terms

-2W = -50

Divide by -2

W = 25

So, the maximum area is:

A = 50W - W^2

A = 50 * 25 - 25^2

A = 1250 - 625

A = 625

3 0
3 years ago
Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 3.6% interest per year. He will put some o
noname [10]

Answer: He should invest $44000 in fund A and $11000 in fund B.

Step-by-step explanation:

Let x represent the amount which he invested in fund A.

Let y represent the amount which he invested in fund B.

Vern sold his 1964 Ford Mustang for $55,000 and wants to invest the money to earn him 3.6% interest per year. He will put some of the money into Fund A that earns 2% per year and the rest in Fund B that earns 10% per year.. This means that

x + y = 55000

The formula for determining simple interest is expressed as

I = PRT/100

Considering fund A,

P = $x

T = 1 year

R = 2℅

I = (x × 2 × 1)/100 = 0.02x

Considering fund B,

P = $y

T = 1 year

R = 10℅

I = (y × 10 × 1)/100 = 0.1y

The interest that he wants to earn on the total amount in a year is 3.6%. The interest would be

I = (55000 × 3.6 × 1)/100 = 1980

Therefore,

0.02x + 0.1y = 1980 - - - - - - - - - -1

Substituting x = 55000 - y into equation 1, it becomes

0.02(55000 - y) + 0.1y = 1980

1100 - 0.02y + 0.1y = 1980

- 0.02y + 0.1y = 1980 - 1100

0.08y = 880

y = 880/0.08

y = 11000

x = 55000 - y = 55000 - 11000

x = 44000

4 0
3 years ago
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