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
The three little lines through the sides of the triangle mean all three sides are equal. Because all three sides are equal the three inside angles would aso be equal.
The three angles of a triangle need to equal 180, so we can divide 180 by 3 to find what each angle is:
180 / 3 = 60.
Now we can set the equation with x in it to equal 60:
7x +4 = 60
Subtract 4 from each side:
7x = 56
Divide each side by 7:
x = 56 / 7
x = 8
Answer:
61
Step-by-step explanation:
he read first 74 and need to
= 74-30
=44
Answer:
62.4 cm squared
Step-by-step explanation:
8^2-4^2=48
The square root of 48 is 6.928
7*2.928=48.497
(6.928*4)/2=13.856
48.497+13.856= 62.353 or 62.4
Answer:
It flew 1,365 miles
Step-by-step explanation:
Just multiply the speed in mph by the time in hours so 455 * 3
