Answer:
Option B. 
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
Remember that

substitute

The point (2, -5) would not be one of the correct vertices of the reflected shape.
When we reflected a shape across the line y=x, we just replace the x's with y's and y's with x's.
Our new points are (5, 2) (4, 6) and (3, 3). None of the points contain negative numbers.
Answer:
150 people
Step-by-step explanation:
Lets call the total amount of people at the talent show x. Since 3/6=1/2, we know that half the people are girls, 1/3 are boys. If we added 1/2 and 1/3 we get 5/6, 1-5/6=1/6, so now we know that 1/6 of the people are adults. Because it says "If there were 50 more girls than adults" so from that we can see that 1/2x =1/6x+50. If we were to simplify the equation, we 1/3x=50, so x=150