Answer:
Option A. –2 – 2√2
Step-by-step explanation:
√8 / √2 – 2
The above expression can be simplified as follow.
√8 / (√2 – 2)
Rationalise by multiplying the numerator and denominator with the conjugate of (√2 – 2) i.e (√2 + 2). This is illustrated below:
√8 / (√2 – 2) × (√2 + 2)/(√2 + 2)
√8(√2 + 2) / (√2 – 2)(√2 + 2)
√16 + 2√8 / 2 + 2√2 – 2√2 – 4
√16 + 2√8 / 2 – 4
√16 + 2√8 / –2
Recall
√16 = 4
√8 = √(4×2) = √4 × √2 = 2√2
Thus,
√16 + 2√8 / –2 = 4 + 2×2√2 / –2
= (4 + 4√2) / –2
= 4/–2 + 4√2/–2
= –2 – 2√2
Therefore,
√8 / (√2 – 2) = –2 – 2√2
Thus, option A gives the correct answer to the question.
ANSWER
EXPLANATION
If the graph of y=cosx is transformed to y=a cos (x−c)+d by a vertical compression by a factor of 1/3 and a translation 2 units down,
then
a=1/3
and d=-2.
The 'c' is a phase shift since it is not given, it means it is zero.
Therefore the new equation is:
y=1/3cos(x-0)−2
This simplifies to:
y=1/3cosx−2
The correct option is C.
Answer:
e= -2
Step-by-step explanation:
1) distribute so you get 6+0.75e=2-1.25e
2) move the variable to one side so you get 6+2e=2
3) subtract the 6: 2e=-4
4) divide by 2: e= -2