Answer:(b). 4I2-81
Step-by-step explanation:(2I+9)(2I-9)
=4I2-18I+18I-81
=4I2-81
Answer:
D
Step-by-step explanation:
Given
x³ + 2x² + 7x + 14 ( factor the first/second and third/fourth terms )
= x²(x + 2) + 7(x + 2) ← factor out (x + 2) from each term
= (x² + 7)(x + 2) → D
Answer:
It is a Geometric sequence
Common ratio = 1/5
Step-by-step explanation:
Whole chain: 25, 5, 1, 1/5, 1/25, 1/125, 1/625, 1/3125
Hope this helped
Answer:
58kg, 70kg and 72kg
Step-by-step explanation:
Starting weight was 200.
Boy 1- Changed from 200 to 142. 200kg - 142kg= 58 kg
Boy 2- Changed from 142 to 72. 142kg- 72kg = 70kg
Boy 3- Last one on the scale and it showed 72kg so his weight is 72kg
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.