The equation of a circle is given as:
(x-a)^2 + (y- b)^2 = r^2 where (a, b) is the center.
(x-9)^2 = x^2 -18x + 81 - ----(i)
(y+2)^2 =y^2 + 4y +4 ------ (ii)
r^2 = 49 ------ (iii)
Adding equation (i) and (iii)
x^2 + y^2 - 18x + 4y + 85 -----(iv)
Equating equation (iv) and (iii)
<span>x^2 + y^2 - 18x + 4y + 85 = 49
Arrange the equation:
</span> <span>x^2 + y^2 - 18x + 4y + 36 = 0
</span><span>
I hope this helps
</span>
I can’t see the image maybe if you redo it
C=2(pi)r use this equation with 9 in place of r
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!
Answer:
132 × 3 = 396
Step-by-step explanation:
132 3 × 2 = 6
<u>×</u><u> </u><u> </u><u>3</u> 3 × 3 = 9
396 3 × 1 = 3
