15, if you plot the points, then seperate the x and y into two seperate lines, you can create a 3,4,5 triangle to find the distance between the points.
Answer:
Different ways to solve a system of linear equations:
- isolate one variable in one equation and replace it in the other equation
- multiply/divide one equation by a constant and then add/subtract it to the other one, so that only one variable remains
- graph the equation and look at the intersection point
If you graph the system:
- there is only one solution if the lines intersects at only one point
- there is no solution if the lines don't intersect each other (they are parallel)
- there are infinitely many solutions if the lines overlap each other (they are the same equation multiplied by some constant)
Step-by-step explanation:
1st system
y = -x – 7
y = 4/3 x – 7
solution: x= 0, y = 7
2nd system
y = -3x – 5
y = x + 3
solution: x = -2, y = 1
3rd system
y = -2x + 5
y = 1/3 x – 2
solution: x = 3, y = -1
4th system
3x + 2y = 2
x + 2y = -2
solution: x = 2, y = -2
5th system
x + 3y = -9
2x – y = -4
solution: x = -3, y = -2
6th system
x – 2y = 2
-x + 4y = -8
solution: x = -4, y = -3
7th system
5x + y = -2
x + y = 2
solution: x = -1, y = -3
Answer:
add then subtract the anwser
Answer: r<-2
Step-by-step explanation:
-3(r-5)+7>28
-3(r-5)+7-7>28-7
-3(r-5)>21
3(r-5)/3 < -21/3
r-5<-7
r-5+5<-7+5
r<-2
Answer:
Perimeter of the rectangle=
Step-by-step explanation:
The perimeter of the rectangle with the given coordinates is the sum of its all four sides:
Let the points be A(1,-4), B(1,6), C(3,-4) and D(3,6)
Finding the sides of the rectangle using the Distance formula:
AB=

BC

CD=

AD=

Perimeter of the rectangle=AB+BC+CD+AD
=
Perimeter of the rectangle=