A parallelogram should have 2 sets of parallel lines. Let's find the slope of line PQ and RS to test.
PQ:
(4-2)/(1-(-3))
2/4
1/2
RS:
(2-0)/(3-1)
2/2
1
Because 1 does not equal 1/2 (the slopes are different) the lines are not parallel. Thus, the figure is not a parallelogram.
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Step-by-step explanation:
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Answer:
18 pieces of candy
Step-by-step explanation:
9+3+3+3=18
Hope this helps!
Answer:
7 1/2
Step-by-step explanation:
If it drops 2 per hour, and you need it to drop 15, divide 15 by 2 and you’ll get 7.5 or 7 1/2
Answer:
x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}
Step-by-step explanation:
The equation can be put into standard form by adding 1:
2cos²(x) +3cos(x) +1 = 0
(2cos(x) +1)(cos(x) +1) = 0
Values of cos(x) that make this true* are ...
cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3
cos(x) = -1 . . . . . . . . . . . true for x=π
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A graphing calculator can be helpful here, too.
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* from your knowledge of the short table of trig functions and their signs in different quadrants
