Answer:
The equation would be y = -1/3x + 4
Step-by-step explanation:
The first step to finding this equation needs to be solving the first equation for y so that we can find the slope.
-3x + y = 1
y = 3x + 1
Now that we have the slope of 3, we know the slope of a perpendicular line would be -1/3. This is because perpendicular lines have opposite and reciprocal slopes. We can then use this and the point to solve in point-slope form.
y - y1 = m(x - x1)
y - 2 = -1/3(x - 6)
y - 2 = -1/3x + 2
y = -1/3x + 4
Ok so this question:
y + 1 = - ( x - 2 ) (distribute the negative inside the parenthesis)
y + 1 = -x + 2 (substitute the y= -1)
-1 + 1 = -x + 2
0 = -x + 2 (take two to the other side)
-2 = -x (divide the negative away from x)
2 = x
X-y=6 Equation 1
x+y=4 Equation 2
To graph the given system of equation, first find x and y-intercept of each equation.
x-y=6
When y=0
x=6 Point is (6,0)
When x=0
-y=6
y=-6 Point is (0,-6)
Now x-intercept and y-intercept for equation 2.
x+y=4
When x=0
y=4 Point is (0,4)
When y=0
x=4 Point is (4,0)
Now plot these points on the graph, the lines intersect each other at point (5,-1), which is the solution of the given system.
Answer: (5,-1)
Answer:
L.C.M of 15 and 30 is 30.
Answer:
D
Step-by-step explanation:
Add 7 and 3 which is 10
3^10 is 59049 which is the same as 3^7*3*3