7. {-5, -1, 3, 7, 11}<span>
8. 3
9. one solution
10. (2, -3)
11. 7=2x+3
</span>
Answer:
a. Yes
b. VT
c. Segment RQ
Step-by-step explanation:
a. Find the slope of RS and UV
Slope = rise/run
Slope of RS = rise/run = RQ/QS
Slope of RS = 6/6
Slope of RS = 1
Slope of UV = rise/run = UT/TV
Slope of UV = 3/3
Slope of UV = 1
Thus, TS and UV have equivalent slopes
b. Slope of VT:
VT is an horizontal line.
It has no rise. But only run.
Therefore, it's rise = 0, while run = VT = 3
Slope of VT = rise/run = 0/3
Slope of VT = 0
c. Vertical lines have undefined slope.
Segment RQ is vertical line and therefore has an undefined slope.
RQ has rise but no run.
Thus:
Rise = 6
Run = 0
Slope of Segment RQ = 6/0 (this can't divide)
Therefore, slope of Segment RQ is undefined.
Answer:
G. 4
Step-by-step explanation:
Most geometrical solids can be unfolded into a flat pattern referred to as a net. This shows each part or surface spread out on an horizontal plane. The folding of the net with respect to the edges produce the initial solid.
From the given diagram,it can be observed that when the net is folded with respect to the edges, it would form a cuboid with x = 4.
First, you want all the variables to be on one side:
a - 3b = 4
a - b = -2
Now you want to eliminate one of the variables, in this case a is easiest.
Subtract the second equation from the first and you're left with:
-2b = 6
so b = -3
Sub the value of b back into either of the equations and solve for x:
a - (-3) = -2
a = -5
So your answer is (-5,-3)
