The volume of the original prism is given by:
V1 = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: height of the triangle
H: prism height
The volume of the prism with new dimensions is:
V2 = (1/2) * (3b) * (3h) * (3H)
Rewriting:
V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
V2 = (27) * (1/2) * (b) * (h) * (H)
V2 = (27) * V1
Answer:
The relationship between the volumes of the two prisms is:
V2 = (27) * V1
If two angles are supplementary, their sum equals 180 degrees
y axis is vertical x is horizontal
Rather than try to select the correct answer without doing work, I'd rather do the work first and the matching later.
Given y = 4 - x, or y = 4 - 1x,
1) the y-intercept is (0,4).
2) this being a linear function, it has neither maximum nor minimum.
3) the x-intercept is found by letting y = 0 and solving for x: 0 = 4 - x; x - 4. The x-intercept is (4,0).
Which of the given statements is true?
Answer:
y=-5/2x+4
Step-by-step explanation:
find the slope by using y2-y1/x2-x1
-1-19/2-(-4)
simplify
-20/8
simplify
-5/2
use slope-intercept form, y=mx+b
since we know the slope, find b
plug in one of the ordered pairs into the equation
-1=(-5/2)(2)+b
simplify
-1= -10/2+b
simplify
-1=-5+b
add 5 to both sides
b=4
plug b into y=-5/2x+b
y=-5/2x+4
