Area=legnth times width
legnth is 1 less than 2 times width
l=legnth
w=width
l=-1+2w
l=2w-1
area=lw
area=45
subsitute
45=lw
45=(2w-1)w
distribute
45=2w^2-w
subtract 45 from both sides
0=2w^2-w-45
factor because if we have xy=0 and we factor we can assume that x and/or y=0 so
trial and error factor
0=(2w+9)(w-5)
set each to zero
0=2w+9
subtract 9
-9=2w
divide 2
-4.5=w
impossible since width cannot be negative so discard
w-5=0
add 5 to both sides
w=5
true
subsitute
l=2w-1
l=2(5)-1
l=10-1
l=9
w=5 cm
l=9 cm
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:
I hope this helps!!
9x^2+2x+8
Answer:
3x=4
Step-by-step explanation:
3x+3=7
3x=4