Answer:
a) 4 months
b) $600
Step-by-step explanation:
1. x - number of months the total amount paid to be the same for both stores.
2. That same amount for store A: 
3. That same amount for store B: 
4. Since it's the same amount for both stores we can make an equation:
5. To find that same amount, we can use either side of above equation:
-3x^2 + 2y^2 = 10
2y^2 = 10 + 3x^2
y^2 = 5 + 3/2x^2
distance between two points is given by
d = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((x - 4)^2 + (y - 0)^2) = sqrt((x - 4)^2 + y^2) = sqrt((x - 4)^2 + 5 + 3/2x^2)
For d to be minimum (closest), dd/dx = 0
(2(x - 4) + 3x)/2sqrt((x - 4)^2 + 5 + 3/2x^2) = 0
2(x - 4) + 3x = 0
2x - 8 + 3x = 0
5x = 8
x = 8/5 = 1.6
y^2 = 5 + 3/2(1.6)^2 = 5 + 3/2(2.56) = 221/25
y = sqrt(221/25) = 2.97
Therefore, the required point is (1.6, 2.97)
Answer:
3/3
Step-by-step explanation:
x2 minus x1 over y2 minus y1
Answer:
12
Step-by-step explanation:
Slope=y2-y1/x2-x1
Slope=9-(-3)/-1-(-2)
Slope=12/1
Slope=12
Answer:
9 inches
Step-by-step explanation:
Perimeter of equilateral triangle = 3x
Perimeter of square = 4x
3(x + 6) = 9 + 4x
3x + 18 = 9 + 4x
-x = -9
x = 9
