Answer for the first one - it's complicated, but that maths is correct
I kind of cheated and did it a different way than they'd expect. By doing 24 squared, that gives you 576.
since both angles are 45 degrees, then the sides are equal lengths. Therefore x squared times 2 = 576.
Because of this, x squared = 576 divided by 2, which equals 288.
Therefore the square root of 288 = 12 square root 2
Answer:
the cost of 1 full price ticket is $9.5
Step-by-step explanation:
For the last showing of a movie, a theater sold full-price and discount tickets,the theater sold 130 full-price ticket for a total of $1235 the total sales both types of tickets were $2395
Let x be the number of full price tickets and y be the number of discount tickets
the theater sold 130 full-price ticket for a total of $1235 the total sales
130 full price tickets sold for $1235
the cost of 1 full price ticket is
the cost of 1 full price ticket is $9.5
Answer: 1/16
0.0625
Step-by-step explanation:
Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
