For me personally, the easiest way to do this is by isolating the x² term, and finding the square root of both sides. The hardest way (well actually, the longest way) would be to use the quadratic formula. It just complicates things unnecessarily.
Given:
The two expressions are


To find:
Whether the given expression are equivalent or non-equivalent.
Solution:
If two expressions are looking different but they are equal after simplification, then they are called equivalent expressions.
The first expression is

The first expression is equal to the second expression after the simplification.
Therefore, the given expressions are equivalent.
Answer:
160
Step-by-step explanation:
If there were only 2 options, all the people who didn't pick one chose the other one.
So if 25% of the people voted for the aquarium the remaing 75% voted for the zoo.
Since three times as many people voted for the zoo, we can see that 120/3=40, so 40 people chose the aquarium.
To find the total number of students, we add 120 and 40 to get <u>160</u>
Answer:
Third option.
Step-by-step explanation:
The triangles below are similar, because they have congruent corresponding angles.
Angle N is 105 degrees and angle Q is 105 degrees.