Answer:
C
Step-by-step explanation:
find the equation of the segment two point (-5,5) and (-2,-4)
m=y2-y1/x2-x1 =5-(-4)/-5-(-2) =9/-3 = -3
find b : y= -3x+b
5 =-3(-5) +b
b=-10
the equation is : y=-3x-10
the perpendicular line is y=1/3 x -2/3
Answer:
56 or 55% off depending on rounding up or down
Step-by-step explanation:
Given that the subway stations are 930 m apart, the train have to be accerelated for half the distance and then decerelated for the rest of the distance.
Recall that the distance travelled by an object with an initial velocity, u, for a period of time, t, at an accereration, a, is given by

But, we assume that the train accelerates from rest, thus

The maximum speed is attained at half the center of the distance between subway stations (i.e. at distance = 465 m).
Thus, maximum speed = distance / time = 465 / 23.12 = 20.11 m/s.
Answer:
![7\sqrt[3]{x^2}](https://tex.z-dn.net/?f=7%5Csqrt%5B3%5D%7Bx%5E2%7D)
Step-by-step explanation:
The rule of exponents that dictates this to be solved is:
![x^{\frac{a}{b}}=\sqrt[b]{x^a}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Csqrt%5Bb%5D%7Bx%5Ea%7D)
The power of 2/3 is on "x", NOT 7, so we use this property to write it as:
![x^{\frac{a}{b}}=\sqrt[b]{x^a} \\7x^{\frac{2}{3}}=7\sqrt[3]{x^2}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Csqrt%5Bb%5D%7Bx%5Ea%7D%20%5C%5C7x%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%3D7%5Csqrt%5B3%5D%7Bx%5E2%7D)
third answer choice is right, ![7\sqrt[3]{x^2}](https://tex.z-dn.net/?f=7%5Csqrt%5B3%5D%7Bx%5E2%7D)