Mathematics : asked on 364781
 24.12.2020

In the standard (x,y) coordinate plane, a circle with its center at (8,5) and a radius of 9 coordinate units has which of the following equations?

(x−8)2+(y−5)2=81

(x−8)2+(y−5)2=9

(x+8)2+(y+5)2=81

(x+8)2+(y+5)2=9

(x+5)2+(y+8)2=81

. 0

Step-by-step answer

09.07.2023, solved by verified expert
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In the standard (x,y) coordinate plane, a circle, №18009975, 24.12.2020 00:16

Step-by-step explanation:

equation of a circle: In the standard (x,y) coordinate plane, a circle, №18009975, 24.12.2020 00:16

where In the standard (x,y) coordinate plane, a circle, №18009975, 24.12.2020 00:16 is the center and In the standard (x,y) coordinate plane, a circle, №18009975, 24.12.2020 00:16 is the radius

Given:

center = (8, 5)radius = 9

In the standard (x,y) coordinate plane, a circle, №18009975, 24.12.2020 00:16

In the standard (x,y) coordinate plane, a circle, №18009975, 24.12.2020 00:16

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Mathematics
Step-by-step answer
P Answered by Specialist

(x-8)^2+(y-5)^2=81

Step-by-step explanation:

equation of a circle: (x-a)^2+(y-b)^2=r^2

where (a, b) is the center and r is the radius

Given:

center = (8, 5)radius = 9

\implies (x-8)^2+(y-5)^2=9^2

\implies (x-8)^2+(y-5)^2=81

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

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