Answer:
side of the mosaic = 7 inches
Step-by-step explanation:
Diego has 49 square inch tiles. He wants to use to make a square mosaic.
Area of the tile = 49 square inches
We know , area of the square = s^2
where 's' is the side of the square

Plug in 49 for area and solve for 's'

Take square root on both sides
s= 7
side of the square = 7 inches
I take it that we are to assume that the ratio between the actual length and the shadow length are directly proportional
so therefor we set up the following proprtion
actual height: shadow height=40ft:16ft
we are given that the tree is actually 27ft
so
40ft:16ft=27ft:?ft
make into a fraction
40ft/16ft=27ft/?ft
cross multiply or multiply both sides by 16?ft²
40?ft²=432ft²
divide both sides by 40ft
?ft=10.8ft
the length of the shadow is therfore 10.8ft
Answer:
So the y-intercept is 2 while the slope is -7/2.
Step-by-step explanation:
We are going to write this in slope-intercept form because it tells us the slope,m, and the y-intercept,b.
Slope-intercept form is y=mx+b.
So our goal is to solve for y.
-7x-2y=-4
Add 7x on both sides:
-2y=7x-4
Divide both sides by -2:

Separate the fraction:

Simplify:

If we compare this to y=mx+b, we see m is -7/2 and b is 2.
So the y-intercept is 2 while the slope is -7/2.