Answer:
x = -2bm/(m²+1)
Step-by-step explanation:
One line has equation
... y = mx + b
The slope of the perpendicular line is the negative reciprocal of the slope of the original line. The perpendicular line with the opposite y-intercept has equation
... y = (-1/m)x - b
The point of intersection is where the x- and y-values are equal, so ...
... mx + b = (-1/m)x - b
... (m +1/m)x = -2b . . . . . . . add 1/m - b to both sides
... (m²+1)x = -2bm . . . . . . . multiply by m
... x = -2bm/(m²+1) . . . . . . divide by the coefficient of x
Answer:
Step-by-step explanation:
Solve each equation and compare the solutions
1.
- 2(a - 1.1) = 5.8
- a - 1.1 = 5.8/2
- a - 1.1 = 2.9
- a = 2.9 + 1.1
- a = 4
2.
- (5/2)b - 2 3/4 = 7 1/4
- 2.5b = 7 1/4 + 2 3/4
- 2.5b = 10
- b = 10/2.5
- b = 4
Both a and b have same value
Answer:
9/4
Step-by-step explanation:
This is quite simple you do 1/2 divided by 2/8 which will become multiplication. Then its that number plus 1/4
you get a answer of
9/4 in fraction form
2.25 in decimal form
2 1/4 in mixed fraction form
0.4 * x = 68
x = 68/0.4
x = 170
check:
0.4 * 170 = 68
