For the cylinder on the left-hand-side,

now, for the triangular prism on the right-hand-side,
notice is really just 2 triangles and 3 rectangles, stacked up to each other at the edges.
the triangles have a base of 4, and a height of 1.5.
the rectangle on the left and the one on the right is a 6x2.5 rectangle.
the rectangle at the bottom, is a 4x6 rectangle.
adding their areas, is the area of the prism,
1.) 6x-8y=18, 2x+8y=6 → Multiplication property of equality
2.) 8x=24 → Addition property of equality
3.) x=3 → Division property of equality
4.) 3(3)-4y=9 → Substitution property of equality
5.) 9-4y=9 → Simplify
6.) -4y=0 → Subtraction property of equality
7.) y=0 → Division property of equality
4.05-2.74=1.31
The difference is 1.31 pounds.
Answer: y+1=-7 (x-5)
Step-by-step explanation:
The formula for point-slope form is y-y1= m (x-x1)
Step 1- Finding the slope by using formula
:
(5,-1) (6,-8) or (x1, y1) (x2, y2)
-8+1 = -7
6-5 = 1
Slope + -7/1 or -7
Step 2- Then insert numbers in point slope form:
y-y1 = m(x-x1)
y+1 = -7 (x-5)
Answer:
2024 ways
Step-by-step explanation:
Because order doesn't matter in this scenario, we can use the binomial function
, where n is the total number of items (students in this case) and k is the number of items we'd like to choose.
This binomial function is equivalent to:
, where n! means n * (n - 1) * (n - 2) * ... * 2 * 1
Here, we have
.
Thus, the answer is 2024 ways.
<em>~ an aesthetics lover</em>