-1/2(x + 2) + 11/2 + x = 3
-1/2x - 1 + 11/2 + x = 3
1/2x + 9/2 = 3
1/2x = 3 - 9/2 = -3/2
x = -3/2 * 2 = -3
x = -3
Answer:
Maybe try 23-9. Or maybe the answer is 23, hopefully this helped.
Step-by-step explanation:
Answer:
r = 10 , centre = (6, - 2 )
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² - 12x - 60 = - y² - 4y ( add y² + 4y to both sides )
x² - 12x + y² + 4y - 60 = 0 ( add 60 to both sides )
x² - 12x + y² + 4y = 60
using the method of completing the square
add ( half the coefficient of the x and y terms )² to both sides
x² + 2(- 6)x + 36 + y² + 2(2)y + 4 = 60 + 36 + 4
(x - 6)² + (y + 2)² = 100 ← in standard form
with centre = (6, - 2 ) and r = 
= 10
Answer:
When you have large numbers to divide,
draw a tableau for long division on the side.
Write the steps that will be your guide,
D, M, S, B and R – Abide by to long divide!
Step-by-step explanation:
Answer:the number of adult tickets that the movie theatre sold is 63.
the number of child's tickets that the movie theatre sold is 61
Step-by-step explanation:
Let x represent the number of adult tickets that the movie theatre sold.
Let y represent the number of child's tickets that the movie theatre sold.
The total number of tickets sold is 124. It means that
x + y = 124
Movie theater charges $11.00 for an adult ticket and $8.00 for a child's ticket. The total cost of the tickets sold is 1181. It means that
11x + 8y = 1181 - - - - - - - - - - - -1
Substituting x = 124 - y into equation 1, it becomes
11(124 - y) + 8y = 1181
1364 - 11y + 8y = 1181
- 11y + 8y = 1181 - 1364
- 3y = - 183
y = - 183/ - 3
y = 61
x = 124 - y = 124 - 61
x = 63
