Answer:
a) WS, ZV, YU
b) VU
c) ZW
d) WXY
e) None
f) TU, TV, UV, XY, XZ, YZ
g) SW, VX, VZ, WX, WZ, YZ
Step-by-step explanation:
A prism is a polyhedron that has:
- Two bases that are congruent and parallel to each other.
- Lateral sides that are parallelograms and link the two bases.
- Height that is the distance between the two bases.
From inspection of the give diagram, the figure appears to be a quadrilateral prism with bases STUV and WXYZ.
<u>Parallel line segments</u>
- Parallel line segments lie on parallel lines.
- Parallel lines are lines on a plane that <u>never meet</u> and are the <u>same distance apart</u>.
a) Segments parallel to XT:
b) Segments parallel to ZY:
c) Segments parallel to VS:
<u>Planes</u>
- A plane is a flat, two-dimensional surface that extends into infinity.
- A plane can be named by the letters naming three non-collinear points in the plane.
- Parallel planes are planes that never intersect.
d) Planes parallel to plane STU:
e) Planes parallel to plane UVZ:
<u>Skew lines</u>
Skew lines are a pair of non-coplanar lines that:
- Do <u>not</u> intersect.
- Are <u>not</u> parallel to each other.
f) Segments skew to SW:
g) Segments skew to UT:
Answer:
y = t/31 - d/31
Step-by-step explanation:
Solve for y:
d + 12 y = t - 19 y
Subtract d - 19 y from both sides:
31 y = t - d
Divide both sides by 31:
Answer: y = t/31 - d/31
Answer:
6/7
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
Answer:
***
Answers may vary depending on the person reading the graph.
It is hard to tell what they think crosses nicely.
For example, I decided that the graph crossed nicely at the following points:



Step-by-step explanation:
I see that the graph crosses at
,
, and
.
The equation
tells us the
-intercept is
since when
we have
.
The
-intercept for our graph is
. Therefore,
.
So far we have the equation:
.
Let's enter the other points creating a system of linear equations to solve:


Let's simplify:


Let's subtract 3 on both sides:


I choose to solve the system by elimination.
Let's multiply the top equation by -3:


Now adding the equations results in:

Divide both sides by 24:

Now using one of the equations we can find
:
with 


Add 13/6 on both sides:



Divide both sides by 2:


So we have the equation:

Let's evaluate
now:



