You just write the sum of the numbers as their Greatest Common Factor
Answer:
Step-by-step explanation:
Consider car 1 with mass and original speed and car 2 with mass and original speed . We can consider both cars as punctual masses. In this case, recall that the kinetic energy of a particle of mass and speed is given by the expression . Then, since car 1 has twice the mass of a second car, but only half as much kinetic energy based on the description, we have the following equations.
, .
Replacing the equation in the second one, leads to , which implies Since and assuming that both speeds are positive, then .
Given that, if both cars increase their speed by 5.5 m/s then they have the same kinetic energy, we have that
. Using the previous result, and expressing everything in terms of and we have that
(where cancells out).
Then, we have the following equation , which by algebraic calculations leads to . Since we assumed , we have that .Then,
Answer:
Equation is y = -1/7x - 50/7 or y = -1/7x - 7 1/7
Step-by-step explanation:
Perpendicular lines slopes are negative reciprocals of each other.
y = 7x - 5 This equation slope = 7 because the slope is the coefficient of the x-term.
The line that is perpendicular will have a slope of -1/7 ( the negative reciprocal of 7)
Next to find the value of "b" using y = mx + b and slope of -1/7 and point (-8, -6).
y = mx + b
-6 = -1/7(-8) + b
-6 = 8/7 + b
-6 - 8/7 = b
-50/7 = b
Equation is y = -1/7x - 50/7 or y = -1/7x - 7 1/7
Answer:
24meters
Step-by-step explanation:
Given data
Joe walked 12m East
We are told that Joe continued to walk for another 12m east
Therefore, Joes displacement is
=12+12
=24m
His displacement is 24meters
Mass = density x volume
Mass = 178 x 25 = 4,450 grams