Answer:
Step-by-step explanation:
The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines
Slope of line 1:
(Yb -Ya)/(Xb - Xa) =
(-10 - (-14))/(-1 - (-3)) =
4/2 =
2
Use that slope to find the Y-intercept of line 1
y = 2x + b
-14 = 2(-3) +b
-14 = -6 + b
-8 = b
Therefore Line 1 is:
y = 2x - 8
Slope of line 2
(11 - 13)/(-1 - (-3)) =
-2/2 =
-1
Y-intercept of line 2
y = -x + b
13 = -(-3) +b
13 = 3 + b
10 = b
Therefore line 2 is
y = -x + 10
Now we have 2 equations to solve for the coordinates x and y
y = 2x - 8
y = -x + 10
Substitute y out in one of the equations
2x - 8 = -x + 10
3x = 18
x = 6
Plug x into one of the equations
y = 2(6) - 8
y = 12 - 8
y = 4
Therefore the solution is:
x=6, y=4
Answer:
1/5 cup
Step-by-step explanation:
Sugar: water
1 5
We want 1 cup water, so divide each side by 5
1/5 : 5/5
1/5 : 1
There is 1/5 cup sugar to 1 cup water
Answer:
73,58,107,49,131
Step-by-step explanation:
m∠1=73°because alternate interior angles
m∠2= 180-49-73=58° because straight lines make 180° angles
m∠3=58+49=107° because alternate interior angles
m∠4 =49° because alternate interior angles
m∠5=180-49=131° because straight lines make 180° angles
Option 1- y= 53x+10
Option 2- y= 55x
55x+10=53x
-53x -53x
2x=10
x=5
No, b is the y-intercept, m is the slope