Answer:
(x,y) = (8,7)
Step-by-step explanation:
Solve equation [2] for the variable x
[2] x = y + 15
Plug this in for variable x in equation [1]
[1] (y +15) + y = 1
[1] 2y = -14
Solve equation [1] for the variable y
[1] 2y = - 14
[1] y = - 7 By now we know this much :
x = y+15
y = -7
// Use the y value to solve for x
x = (-7)+15 = 8
Solution :
{x,y} = {8,-7}
<u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u><u> </u>√15 units
Step-by-step explanation:
Let (6,1) be (x^1,y^1) and (1,-9) be (x^2,y^2) .
As we know ,
Distance(D) = √(x^1-x^2) +(y^1-y^2)
Now,
D= √(x^1-x^2) +(y^1-y^2)
= √(6-1) +(1+9)
= √5+10
= √15 units
: Therefore the distance between (6,1) and (1,-9) is √15 units.
Taking point (0,-2) of graph one and replacing in the equation;
2x+3y=6
2(0)+3(-2)=6
-6=6
So graph isn't the required graph.
Taking point (0,2) of graph 2;
2x+3y=6
2(0)+3(2)=6
6=6
So, graph 2 is the required graph.
<span>A polygon has an angle sum of 360°, and each angle measures 90°. Let's find our what is the polygon.
=> 360 degrees polygon with 90 degree measure for each angles.
=> 360 degrees / 90 degrees = 4
Therefore the polygon is a square.</span>
