Answer:
10.25
Step-by-step explanation:
The slope of AC is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -1)/(3 -(-1)) = -5/4
Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-4) = 4/5(x -3) . . . . line CB
When y = 1 (to match the y-value of A), then ...
1 +4 = 4/5(x -3)
5(5/4) = (x -3) . . . . . multiply by 5/4
6.25 +3 = x = 9.25 . . . . add 3
Point B is (9.25, 1).
The length of the hypotenuse is ...
9.25 -(-1) = 10.25
It should be 27, because if <span>Y=x+12 4x+2y=27 then y equals all of that which equals 27.</span>
Let x be the unknown amount of child tickets
Let 450 - x be the unknown amount of adult tickets (This is because the total amount subtracted from the child tickets can only be the adult tickets since there are no other tickets)
2x+5(450-x)=1800
(2x because each child ticket cost $2 and same for the adult tickets. Each adult ticket cost $5. So, the sum must be 1800.)
Simplify the equation.
2x+5(450-x)=1800 *Distribute*
2x+2250-5x=1800 *Combine like terms. (2-5=-3)*
-3x + 2250 = 1800 *Move constants and variables to opposite sides*
-2250 -2250
---------------------------
-3x=-450 *Divide by 3 to isolate the variable*
---- ------
-3 -3
x=150
So, there are 150 child tickets. To find adult tickets, just subtract children tickets from the amount of tickets bought (450-150) to get 300 adult tickets sold.
Answer:
(-x)(x^2 + 4x + 5)
Step-by-step explanation:
You have to factor out the -x from the rest of the expression.
Adding the equations to eliminate p would be the correct step because when you add the equations together, the variable p would cancel out and be eliminated leaving you with 2w=35 you can then solve for the value of w which you can then input to find the value of p, allowing you to solve for the values of both p and w.
