Plant A is 4 inches tall and growing at a rate of 4 centimeters per week. Plant B is 10 inches tall and growing at a rate of 1 centimeter per
week. After how many weeks will both plants have the same height?
Choose the equation that best represents this situation.
A.) 4 - 4y = 10 - Y
B.) 4 + 4y = 10 + y
C.)4 + y + 4y = 10
D.)4(y + 4y) = 10

1/2t + 4 = 1/4t + 5.5

1/2t - 1/4t = 5.5 - 4

2/4t - 1/4t = 1.5

1/4t = 1.5

t = 1.5 x 4

t = 6

h = 1/2t + 4

h = 1/2(6) + 4

h = 3 + 4

h = 7

solution is (7,6)

means that the plants will both be 7 cm tall after 6 weeks

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

the answer is y = 11.54

hope this : )