The sequence is decreasing by 3 each time
So the formula would be y =27-3(x-1)
Plug in 43
Y =27-3(43-1)
Y = 27-3(42)
Y = 27-126
Y = -99
The 43rd term of the sequence would be -99
Hope this helps :)
Answer:
3x + 4y = -36
y = 2x - 9
3x + 4(2x - 9) = -36
3x + 8x - 36 = -36
11x - 36 = -36
11x = 0
x = 0
y = 2(0) - 9
y= 0-9
y = -9
(0, -9) is the answer
Step-by-step explanation:
Three thousand hundred that is the answer
Answer: Choice C
x/w and z/(y+v)
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Explanation:
All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.
Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).
So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w
x/w is one of the answers
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Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z
Therefore,
sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)
z/(y+v) is the other answer
Side note: triangle ACD is not used at all.