Let the nth term be given by the expression an²+bn+c.
We can write A: -7=a+b+c B: -6=4a+2b+c C: -3=9a+3b+c
D: B-A: 1=3a+b
E: C-B: 3=5a+b
E-Dm 2=2a, a=1, b=1-3=-2, c=-7-1+2=-6.
So the expression for the nth term is n²-2n-6.
Put n=4: 16-8-6=2 which fits the sequence.
Put n=5: 25-10-6=9 which also fits the sequence.
So the nth term is
(2,1)
Draw a line on y=-2 and reflect the dot on the other side. The x doesn’t change, only y changes. So only option is (2,1).
Answer:
because this is a parallelogram
=> 3t - 15 = 2t + 10
⇔ t = 10 + 15
⇔ t = 25
with t = 25 => 3t - 15 = 3.25 - 15 = 60
we also have:
4r + (3t - 15) = 180°
⇔ 4r + 60° = 180°
⇒ 4r = 120°
⇔ r = 30
we also have;
4r = 3s
=> 4.30 = 3s
⇔ s = 4.10
⇔ s = 40
Step-by-step explanation:
Answer:
<h2><u><em>
x = 8</em></u></h2>
Step-by-step explanation:
10x - 20 = 7x + 4
3x = 24
x = 24/3
x = 8
---------------------
10 * 8 -20 = 7 * 8 + 4
60 = 60
the answer is good