The equation for a circle is (x-h)^2 +(y-k)^2=r^2
You just have to plug in your coordinates h is the x and k is the y.
The r is radius squared.
so, (x-2)^2+(y-(-5)^2=144
You have to be careful of those tricky negative values. When you distribute the y-(-5) it turns into y+5.
So your answer is D.
Answer:
Option B. 3/4 > 2/3 is the correct answer.
Step-by-step explanation:
Lets look at the options one by one
A. 1/2 < 1/3
This inequality converts into 0.5<0.33 which is false.
B. 3/4 > 2/3
This simplifies to 0.75>0.666 which is true.
C. -1/4 < - 2/3
This converts to -0.25<-0.666 which makes the inequality false.
D. -1 > 3/4
This converts to -1>0.75 which makes the inequality false.
Hence,
Option B. 3/4 > 2/3 is the correct answer.
Answer:
s=19
Step-by-step explanation:
18s-17s+1=20
s+1=20
s=20-1
s=19
Answer:
0.150 < (Proportion of Sandy's pie) < 0.167
15% < (Percentage of Sandy's pie) < 16.7%
Step-by-step explanation:
Total percentage of pie = 100% or 1
George, Sandy, Carlos, and Michelle all ate a piece of the pie.
George ate a fraction of 0.150
Michelle ate a fraction of (1/6) = 0.167
Carlos ate a fraction of (1/7) = 0.143
The amount of pie left = 1 - 0.15 - (1/6) - (1/7) = 0.5405
And Sandy is known to eat more than two of her friends, but less than one of them.
Of the amount of pie eaten by the first 3 friends, (1/6) is the highest proportion.
Hence, it is evident that Sandy ate more than 0.143 and 0.150 (Carlos and George) but less than Michelle (0.167).
So, mathematically, the possible proportion of cake that Sandy ate is
0.150 < (Proportion of Sandy's pie) < 0.167
Hope this Helps!!!
