Answer:
28
Step-by-step explanation:
Volume = Area of cross section x length
= (1/2 x 2 x 4) x 7
= 28
For both part A and part B, the cross-section would be a square.
For part c, the reasons the shapes are the same is the 3-D figure of a cube has 6 faces that are all squares. Since every face is a square, you cannot cut a cross-section that is any shape but a square. Cross-sections in 3-D prisms can reflect the face they are nearest to, so with every face being identical on a cube, the cross sections are also identical.
I hope this helps! :)
-3(5 + 8x) - 20 ≤ -11 |use distributive property: a(b + c) = ab + ac
-15 - 24x - 20 ≤ -11
-35 - 24x ≤ -11 |add 35 to both sides
-24x ≤ 24 |change signs
24x ≥ -24 |divide both sides by 24
x ≥ -1
Answer:
D
Step-by-step explanation:
To find the coordinate of A you can first determine the coordinate of D and apply the midpoint rule.
And to find the coordinates of D you must solve equations of AC and BD simultaneously.
AC has equation

Or

BD has equation

Or

Multiply equation (1) by 2 and multiply equation (2) by 3 to obtain,


Equation (3) minus equation (4)
gives


Putting the value of x=4 in equation (4) gives

This implies that




Solving the equations of AC and BD simultaneously give the coordinates of D to be;

Let

be the coordinates.
Since D is the midpoint of AC

and

Solving for m and n, we have

And

Therefore A has coordinates
[tex] (-2,8)/tex]