If the center is in point P(a,b) and has a radius r then circle equation is:
(x-a)²+(y-b)²=r².
In your task we've got P(0,0) so the circle equation is x²+y²=r².
We have to find r. Radius start at (0,0) and end at (-4,-6) therefore
r=√((-4)²+(-6)²) and
r²=(-4)²+(-6)²=16+36=52.
So answer is x²+y²=52.
Answer:
option A: x + 1.5y ≤ 20
option C: x + 3y ≤ 36
option D: x ≥ 0
option H: y ≥ 0
Step-by-step explanation:
It says to assume x = the number of packages of pasta and y = the number of jars of pasta sauce.
Since the number of items can not be a negative number, we have x ≥ 0 and y ≥ 0.
Condition: He has $36, and can carry up to 20 pounds of food in his backpack.
Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.
If he buys 'x' packs of pasta and 'y' jars of pasta sauce, then:-
Total cost = 1x + 3y ≤ 36 dollars.
and Total weight = 1x + 1.5y ≤ 20 pounds.
Hence, we have four inequalities:-
option A: x + 1.5y ≤ 20
option C: x + 3y ≤ 36
option D: x ≥ 0
option H: y ≥ 0
Factor out the largest perfect square of 32.
( in this example we factored out 16 )
Rewrite
____
/16⋅2
as the product of two radicals.
The square root of 16 is 4.
Divide numerator and denominator by 4.
The last one. the mean is the average and the median is the middle point in the data set. the average is less than the middle point.
