Answer:
-6 1/2
-1
0
9
these are in order from least to greatest
The remainder in a division is always less than the number you are dividing by. Since the division is by 9, the reminder can be at most 8. 17 is definitely incorrect.
Answer:
(x−4)²+(y)²=1
Step-by-step explanation:
If you translate this into English, you get something like this:
The y value lies between -1 and 1, if the x value is between 3 and 5, This could very well be a circle with the center point M and a radius of 1.
The x-coordinate of the middle lies between 5 and 3, which is 4
The y-coordinate of the middle lies between -1 and 1, which is 0.
So the middle is (4 , 0) and radius is 1
The circle equation (xa) 2 + (yb) 2 = r 2
The circle with center M( a b ) and radius r has as a comparison:
(x - a)² + (y - b)² = r²
with a = 4 and b = 0 and r = 1
(x − 4)² + (y - 0)² = 1²
(x−4)²+(y)²=1
If it has a slope of -4, you need to find b.
So you want to plug in your coordinate values for x and y to solve.
5=-4(-1)+b
5=4+b you then subtract 4 from both sides to find the answer for b.
1=b
So your equation would be:
y=-4x+1
Adult tickets cost $10 each and student tickets cost $6 each.
Given:
Kyle's family bought 4 adult tickets and 2 student tickets for $52
Maria's family bought 3 adult tickets and 5 student tickets for 60.
Let us assign x as the adult tickets and y as the students tickets
Kyle's family: 4x + 2y = 52
Maria's family: 3x + 5y = 60
Let us find the value of x using Kyle's equation:
4x + 2y = 52
4x = 52 - 2y
x = (52 - 2y)/4
x = 13 - y/2
Substitute the value of x in Maria's equation to find y.
3x + 5y = 60
3(13 - y/2) + 5y = 60
39 - 3y/2 + 5y = 60
- 3y/2 + 5y = 60 - 39
- 3y/2 + 5y = 21
2(-3y/2 + 5y) = 2(21)
-3y + 10y = 42
7y = 42
7y/7 = 42/7
y = 6
x = 13 - y/2
x = 13 - 6/2
x = 13 - 3
x = 10
To check:
Kyle's Family Maria's Family
4x + 2y = 52 3x + 5y = 60
4(10) + 2(6) = 52 3(10) + 5(6) = 60
40 + 12 = 52 30 + 30 = 60
52 = 52 60 = 60
