Answer:
D.
Step-by-step explanation:
Answer:
Suppose the closest point is at p=(x0,y0), and set q=(−2,−3). Then the tangent to the parabola at p is perpendicular to ℓ, the line through p,q. and we end up numerically computing the roots from here.
Answer:
3/5
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-4) / 2 - (-3)
3/5
3/5 is the slope.
Let x be the number of racing bikes, and let y be the number of mountain bikes.
1) 140x + 110y = 26150
2) 180x + 120y = 31800
Solve for one of the variables and plug that in to the other equation:
From equation 1: 140x = 26150 - 110y
x = (26150-110y)/140
Plug this into equation 2:
180((26150-110y)/140) = 31800
Solve for y, and find that y = 85 (the number of mountain bikes).
Plug that y into either equation to find x:
140x + 110(85) = 26150
x = 120 (the number of racing bikes).
So the answer is: 120 racing bikes and 85 mountain bikes.
