The equation of the perpendicular line can be identified by determining its slope and applying the given point within the standard formula.
Standard equation: y-y1 = m(x-x1)
m*m'=-1
where m' indicates the slope of the perpendicular line
m denotes the slope of the original line
m = -coefficient of x/coefficient of y = -4/-3 = 4/3
m' = -3/4
Substituting the point (3, -2):
y+2 = -3/4*(x-3)
4y+8 = -3x+9
Thus, the equation of the perpendicular line is: 3x+4y-1=0
To find the hypotenuse of a right triangle with sides measuring 3 and 4, we first need to use the Pythagorean theorem and then add that distance to 3 and 4.
By applying the theorem, the square of the hypotenuse equals the sum of the squares of the sides...
d^2=3^2+4^2
d^2=9+16
d^2=25
d=√25
d=5
Thus, the total distance for her run is 5+4+3=12 km
137 paquetes de vasos, aunque el último solo tiene 7 vasos, es necesario para asegurar que no queden sin empacar.
