(5 Neighbors) x (($1.00 Box) + (? Plant) + ($3.00 Gloves)) = 42.50
5 x (1 + x + 3) = 42.50
Combine in parens.
5 x (4 + x) = 42.50
Distribute.
20 + 5x = 42.50
Subtract 20 from both sides.
5x = 22.50
Divide both sides by 5.
x = 4.50
Thats the cost of each plant.
Check.
5 x (1 + 4.50 + 3)
5 x 8.50 = 42.50
(x-h)^2 + (y-k)^2 = r^2
r=3
(x-h)^2 + (y-k)^2 = 3^2
the center lies on the y-axis --> h=0
x^2 + (y-k)^2 = 3^2 = 9
expand
x^2 + y^2 -2ky + k^2 = 9
x^2 + y^2 -2ky + (k^2 - 9) = 0
compare to general form
A=1 , B=1 and C =0
D= -2k and E=k^2 - 9
Answer:

Step-by-step explanation:
Jaime is at point A and wants to get across the river to Point B.
They must head upstream towards Point C.
1. Calculate the net speed across the river.
∆ABC is a right triangle, so

2. Calculate the time to cross the river

Nice. We're not really told which is the right angle. We can tell from the squared distances:



We see
so B is the right angle.
That was preliminary and probably indicated in an associated figure.
Now we want the line through the midpoint of the legs, AB and BC, in standard form.
The midpoint of AB is the average of the coordinates of A and B:

The midpoint of BC is

The line through those points is




That's the answer. Let's check it.
Midpoint of AB is (-2,3), -2 + 8(3)=22 good.
Midpoint of BC is (2,5/2), 2+8(5/2)=22 good.

Answer:
50
Step-by-step explanation: