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____ [38]
4 years ago
13

Write an equation of the circle whose radius is 3 and whose center is (-1,6).

Mathematics
2 answers:
PolarNik [594]4 years ago
6 0

we are given

center=(-1,6)

radius=3

now, we can use standard equation of circle

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

where

center=(h,k)

radius =r

so, we get

center=(h,k)=(-1,6)

h=-1,k=6

radius =r=3

r=3

now, we can plug these values

and we get

(x+1)^2+(y-6)^2=3^2

(x+1)^2+(y-6)^2=9

so, option-D............Answer

leonid [27]4 years ago
4 0
D is correct . i just took the test
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3 years ago
Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 blanket per d
Sauron [17]

Answer:

Since Darcie wants to crochet a minimum of 3 blankets and she crochets at a rate of 1/5 blanket per day, we can determine how many days she will need to crochet a minimum of 3 blankets following the next steps:

- Finding the number of days needed to crochet one (1) blanket:

\begin{gathered}1=\frac{1}{5}Crochet(Day)\\Crochet(Day)=5*1=5\end{gathered}

1=

5

1

Crochet(Day)

Crochet(Day)=5∗1=5

So, she can crochet 1 blanket every 5 days.

- Finding the number of days needed to crochet three (3) blankets:

If she needs 5 days to crochet 1 blanket, to crochet 3 blankets she will need 15 days because:

\begin{gathered}DaysNeeded=\frac{NumberOfBlankets}{Rate}\\\\DaysNeeded=\frac{3}{\frac{1}{5}}=3*5=15\end{gathered}

DaysNeeded=

Rate

NumberOfBlankets

DaysNeeded=

5

1

3

=3∗5=15

- Writing the inequality

If she has 60 days to crochet a minimum of 3 blankets but she can complete it in 15 days, she can skip crocheting 45 days because:

AvailableDays=60-RequiredDaysAvailableDays=60−RequiredDays

AvailableDays=60-15=45DaysAvailableDays=60−15=45Days

So, the inequality will be:

s\leq 45s≤45

The inequality means that she can skip crocheting a maximum of 45 days since she needs 15 days to crochet a minimum of 3 blankets.

Have a nice day!

3 0
3 years ago
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