If the set of points have a constant distance (radius, r) from a point, the set of points form a circle, which has the standard equation:
(x-x0)^2+(y-y0)^2=r^2
where (x0,y0) is the given point (-2,-6), and r=radius=2.
Substituting, the equation is then
(x-(-2))^2+(y-(-6))^2=2^2, or
(x+4)^2+(y+6)^2=4......(1)
Answer:
36
Step-by-step explanation:
Let the total number of cotton candy = A
Number of blue cotton candy = 27 cones
Percentage of blue cotton candy = 75%
Therefore, the total number of cotton candy is calculated as:
27/A × 100 = 75%
2700/A = 75
Cross Multiply
75A = 2700
A = 2700/75
A = 36
Therefore, the amount of total cotton candy that we have is 36.
i think the answer is y= -2x + 9/4
9) x= -7
10) x= 10
11) x= 5
12) x= 6
13) x= 4
14) x= -9
15) x= 3
16) x= 9
sorry it took so long! hope this helps!! :)
Let c represent the speed of the current.
time = distance/speed
Upriver, the current is subtracted from the canoe speed; downriver, it adds.
6 = 32/(12 -c) +32/(12 +c)
6(12² -c²) = 32(12 +c) +32(12 -c) . . . . . multiply by (12 +c)(12 -c)
0 = 6c² -96 . . . . . . . . . . . . . . . . . . . . . . subtract the left side
96/6 = c² . . . . . . . . . . . . . . . . . . . . . . . . add 96, divide by 6
4 = c . . . . . . . . . . . . . . . . . . . . . . . . . . . . take the square root
The rate of the current is 4 mph.
