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forsale [732]
2 years ago
9

The circle below is centered at the point (1, 2) and has a radius of length 3.

Mathematics
1 answer:
sveta [45]2 years ago
7 0

Answer:

(x - 1) {}^{2}  + (y - 2) {}^{2}  = 9

Step-by-step explanation:

The general circle equation is

(x - h) {}^{2}  + (y - k) {}^{2}  = r {}^{2}

where r is the radius.

Since we know all the information just plug it in the equation above.

(x - 1) { }^{2}  + (y - 2) {}^{2}  =  {3}^{2}

Simplify 3 squared.

(x - 1) {}^{2}  + (y - 2) {}^{2}  = 9

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Sam needs 7 1/2 cups of orange juice to make punch for a group of her friends. She only has 5 1/3 cups. Write and solve an equat
Solnce55 [7]

Answer:

Equation is x+\frac{16}{3}=\frac{15}{2} where x denotes number of cups of orange juice needed by Sam.

x=\frac{13}{6}

Step-by-step explanation:

Let x denotes number of cups of orange juice needed by Sam.

Number of cups needed to make punch =7\frac{1}{2} =\frac{15}{2}

Number of cups with Sam =5\frac{1}{3}=\frac{16}{3}

Therefore,

x+\frac{16}{3}=\frac{15}{2}\\\\x=  \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}

4 0
2 years ago
The system of equations 2y = 14 - 2x and y=-x+ 7 is
Ratling [72]

Answer:

Infinitely many solutions

Step-by-step explanation:

2y=14-2x

y=-x+7

------------

2(-x+7)=14-2x

-2x+14=14-2x

-2x-(-2x)=14-14

-2x+2x=0

0=0

infinitely many solutions

6 0
3 years ago
Read 2 more answers
There are 26 third graders and 32 fourth graders going
erma4kov [3.2K]
26+32=58
58 divided by 10 is abt 5.something
The rest 8 students also needs to go, so it is 5+1=6 vans.
3 0
2 years ago
It costs Guido $0.20 per minute to forward voicemail messages as texts to his cell phone. He already spent $4 in forwarding mess
Vaselesa [24]

Answer:

10 minutes

Step-by-step explanation:

Let the number of minutes = x

It costs Guido $0.20 per minute to forward voicemail messages as texts to his cell phone. He already spent $4 in forwarding messages this month.

For Guido

$4 + 0.20x

His mom has spent $2 forwarding messages. It costs her $0.40 per minute so she can call long distance.

For his mum

$2 + 0.40x

Guido's mom said they have to spend the same amount.

Equating both Equations together

$4 + 0.20x = $2 + 0.40x

$4 - $2 = 0.40x - 0.20x

2 = 0.20x

x = 2/0.20

x = 10 minutes

Guido can talk for 10 minutes

8 0
2 years ago
Read the word problem below.
Ronch [10]

Answer:

27 are blue  C.

Step-by-step explanation:

3 0
2 years ago
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