Answer:
53q+10
Step-by-step explanation:
(-3q+3)+7(8q+1)
-3q+3+56q+7
53q+3+7
53q+10
Answer: B, C, E
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The difference between consecutive terms (numbers that come after each other) in arithmetic sequences is the same. That means you add the same number every time to get the next number. To figure out which choices are arithmetic sequences, just see if the differences are the same.
Choice A) 1, -2, 3, -4, 5, ...
-2 - 1 = -3
3 - (-2) = 5
The difference is not constant, so it is not an arithmetic sequence.
Choice B) 12,345, 12,346, 12,347, 12,348, 12,349, ...
12,346 - 12,345 = 1
12,347 - 12,346 = 1
The difference is constant, so it is an arithmetic sequence.
Choice C) <span>154, 171, 188, 205, 222, ...
171 - 154 = 17
188 - 171 = 17
The difference is constant, so it is an arithmetic sequence.
Choice D) </span><span>1, 8, 16, 24, 32, ...
8 - 1 = 7
16 - 8 = 8
</span>The difference is not constant, so it is not an arithmetic sequence.
Choice E) <span>-3, -10, -17, -24, -31, ...
-10 - (-3) = -7
-17 - (-10) = -7
</span>The difference is constant, so it is an arithmetic sequence.
Answer:
x= 1/2 and -3/4
Step-by-step explanation:
By using factorization, we can solve this equation.
8x^2+2x-3=0
Factor:
(2x-1)(4x+3)=0
Solve:
2x-1=0
2x=1
x=1/2
Solve again:
4x+3=0
4x=-3
x=-3/4
Hope this helped
ANSWER

EXPLANATION
The given parallelogram has vertices,
L(0,-3), M(-2,1), N(1,5), O(3,1).
The diagonals of the parallelogram bisect each other.
From the diagram, we can see that, the diagonals have coordinates L(0,-3),N(1,5)
and
M(-2,1),O(3,1).
The midpoint of any of the diagonals will give us the coordinates of intersection of the diagonals.
Recall the midpoint formula,

Using L(0,-3),N(1,5) gives,



Or we could have also used,M(-2,1),O(3,1) to get,



The correct answer is C