Answer:
6. Actual length is 8 mm.
7. 13
8. 4
9. x=12
10. y=4
11. a=-3
12. y=-5
Step-by-step explanation:
Answer:
y = 2/3x
Step-by-step explanation:
Slope-intercept formula: y = mx + b
m = 2/3 because the slope is 2/3.
b = 0 because the y value of the origin is 0, as the point is at (0, 0).
That makes y = 2/3x + 0, but adding zero does nothing so you take it out to get y = 2/3x.
Answer:
48 cubes
Step-by-step explanation:
step 1
Find the volume of one 1/2 unit cube
The volume of the cube is given by

where
b is the length side of the cube
we have

substitute


step 2
Divide the volume of the prism by the volume of one cube

Solve for y. Do that by adding the opposite of the x-term, then dividing by the coefficient of y.
11y = 12x - 8
y = (12/11)x - 8/11
The slope is 12/11.
The y-intercept is -8/11.