A vine maple grows fast when it is planted under the cover of cedar trees. One month after it is planted it has grown 9 inches, and after eight weeks it had grown 14 inches. Write an equation that models the growth, in inches, of the vine maple as a function of time, in weeks

Step-by-step explanation:

Using y = mx+c

m=

m=

m=

c=y-intercept

The question says that at 8 weeks the maple had grown 14 inches

By using y=mx+c we can find the y-intercept using one of the points as the x and y values and by using the slope

14=10+c

14-10=10+c-10

4=c

y-intercept = 4

Therefore the full equation is

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

-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