<u>Given</u>:
The given expression is 
We need to determine the equivalent expression.
<u>Equivalent expression:</u>
Let us determine the equivalent expression.
The equivalent expression can be determined by simplifying the given expression.
Hence, let us apply the exponent rule to simplify the given expression.
Thus, applying the exponent rule, 
, we get;
Rewriting the expression, we get;
Simplifying, we get;
Thus, the equivalent expression is
Hence, Option C is the correct answer.
Answer:
B
Step-by-step explanation:
16,x+4
by completing square formula
When dividing 1/8 by 2
we have to first take the reciprocal of 2
reciprocal is when the numerator and denominator are exchanged
2 when written as a fraction is
we need to find the reciprocal of
which is
then
when 'of' function is used it means to multiply the 2 fractions
when multiplying fractions multiply the numerators by numerators and multiply denominators by denominators
is
answer is
Answer: D
vertical stretch of 2, horizontal compression to a period of pi/2, phase shift of pi units to the right, vertical shift of 1 unit down
Step-by-step explanation:
Given that,
On a coordinate plane, a curve crosses the y-axis at y = 1. It has a maximum of 1 and a minimum of negative 3. It goes through 2 cycles at 2 pi. The it will experience a transformation of
vertical stretch of 2, horizontal compression to a period of pi/2, phase shift of pi units to the right, vertical shift of 1 unit down
<h3>Answers:</h3>
- Congruent by SSS
- Congruent by SAS
- Not congruent (or not enough info to know either way)
- Congruent by SAS
- Congruent by SSS
- Not congruent (or not enough info to know either way)
- Congruent by SAS
- Congruent by SAS
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Explanations:
- We have 3 pairs of congruent sides. The tickmarks tell us how the congruent sides pair up (eg: the double tickmarked sides are the same length). So that lets us use SSS. The shared overlapping side forms the third pair of congruent sides.
- We have two pairs of congruent sides (the tickmarked sides and the overlapping sides), and an angle between the sides mentioned. Therefore, we can use SAS to prove the triangles congruent.
- We don't have enough info here. So the triangles might be congruent, or they might not be. The convention is to go with "not congruent" until we have enough evidence to prove otherwise.
- We can use SAS like with problem 2. Vertical angles are always congruent.
- This is similar to problem 1, so we can use SSS here.
- There isn't enough info, so it's pretty much a repeat of problem 3
- Same idea as problem 4.
- Similar to problem 2. We have two pairs of congruent sides and an included angle between them allowing us to use SAS
The abbreviations used were:
- SSS = side side side
- SAS = side angle side
The order is important with SAS because the angle needs to be between the sides mentioned.
