Step-by-step explanation:
x² + y² − 8x + 10y − 8 = 0
Rearrange:
x² − 8x + y² + 10y = 8
To complete the square, take half of the x and y coefficients, square it, then add the result to both sides.
(-8/2)² = 16
(10/2)² = 25
x² − 8x + 16 + y² + 10y + 25 = 8 + 16 + 25
x² − 8x + 16 + y² + 10y + 25 = 49
Factor the squares:
(x − 4)² + (y + 5)² = 49
The center is (4, -5) and the radius is 7.
Answer:
$20.60
Step-by-step explanation:
$25.75 x 20% = $5.15
$25.75 - $5.15 = $20.60
Since they tell us that this is linear, having a constant rate of change, we can express this as a line:
y=mx+b, where m=slope (change in y divided by change in x) and b=y-intercept (value of y when x=0)
First find the slope, or m, which mathematically is:
m=(y2-y1)/(x2-x1), in this case:
m=(880-440)/(2000-1000)
m=440/1000
m=0.44, so far our line is:
y=0.44x+b, now we can use either data point to solve for b, I'll use (1000,440)
440=0.44(1000)+b
440=440+b
0=b, so our line is just:
y=0.44x
It might be step 4 where it got dropped by step 3
So since only 20 dollar bills and the other one is a 50
then
so we find some combos that will work
five 20's make 100
we
notice that we can only have 20's in multipules of 5 to make 100's
becauause 4 20's makes 80 and 3 20's make 60 and 2 20's make40 and none
of those add to 50 evenly to make 100's
(probably confusing but I hope you understand if you think about it)
so we have
5 20's =100
10 20's=200
15 20's=300
20
25
30
35
40
45 20's=900
50 20's=1000
so how many multiplules did we have?
10
but wait, if we havve 1000 in all 20's we still need at least one 50 so we subtract 100
900:9
answe ris 9 stacks
answer is 9 stacks or A
