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Ugo [173]
2 years ago
12

Which equation is the equation of a circle with a diameter of 20 cm and center at (-3, 6)?

Mathematics
1 answer:
larisa86 [58]2 years ago
5 0
The equation of a circle with centre (a,b) and radius r is:
(x - a)^2 + (y - b)^2 = r^2
thus,
here centre (a,b) = (-3,6), a = -3, b = 6
and radius  = diameter/2 = 20/2 =10 units
therefore, the equation is
(x + 3)^2 + (y - 6)^2 = 100
which is c.

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When completing the square, does the value of A always need to be one?<br> Thanks
Greeley [361]

Yeah, mostly is has to be negative, but in some cases a is greater than 1 than we do some other operations.

4 0
2 years ago
Mr. Chase is having a party for his teachers. If the pizzeria cuts their pies into eight slices and each teacher is eating 1/8 o
Ivanshal [37]
6 pies.

If 8 teachers finish one whole pie, and they need to feed 47, then they need 6 pies with 8 slices each aka 48 slices total, there will be one slice leftover for the principal :D
6 0
1 year ago
Tim's bank contains quarters, dimes and nickels. He has 3 more dimes than quarters and 6 fewer nickels than quarters. If he has
Artist 52 [7]
(x - 3) + (x - 6) + x = 63
x - 3 + x - 6 + x = 63
Combine like terms
3x - 9 = 63
Isolate the constant
3x - 9 + 9 = 63 + 9
3x = 72
Isolate the viable
3x / 3 = 72 / 3
x = 24
8 0
3 years ago
emily drives home from work in 30 minutes driving 60 miles per hour. If Emily need to get home 10 minutes earlier, how fast does
AlladinOne [14]

The correct answer is 90 miles per hour

Explanation:

The first step to know how fast Emily needs to drive to get 10 minutes earlier is to determine the distance from her work to her home. This can be calculated by using the information provided (speed and time). The process is shown below:

speed = distance ÷ time

distance = speed x time

distance = 60 miles per hour x 0.5 (30 minutes represent 0.5 hours)

distance= 30 miles

Now, using the same formula let's calculate the speed for 20 minutes (30 minutes - 10 minutes earlier = 20 minutes)

speed = distance ÷ time

speed = 30 miles ÷ 0.333 (20 minutes represents 0.333 hours as 20 minutes is 1/3 of an hour)

speed= 90 miles per hour

8 0
3 years ago
A data analyst has spreadsheets numbered
algol [13]

Answer:

\frac{2}{9}

Step-by-step explanation:

{\textrm}{Total number of objects here} = 9

(2 spreadsheets, 3 databases and 4 presentations,

{\textrm}({Total} = 2+3+4 = 9)

{\textrm}{No. of databases with an odd number} = 2 {\textrm}{(databases with number 1 and 3})

As  not mentioned other wise equal chances of all the outcomes is assumed so, by the classical definition of probability,

P(The chosen item is a odd numbered database)

=\frac{2}{9}

8 0
2 years ago
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