Answer:
y = 3x - 2
Step-by-step explanation:
Use the point-slope equation since we are given a point that the line passes through and its slope:
y - y1 = m(x - x1)
(-2, -8), m = 3
Substitute these values into the equation.
- y - (-8) = 3(x - (-2))
- y + 8 = 3(x + 2)
- y + 8 = 3x + 6
- y = 3x - 2
The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.
You are gonna use a^2 + b^2 = c^2 because the cities make a right triangle and you are trying to find the hypotenuse (c). C^2 ends up being 517 and the square root, your answer, is 22.7 miles
Answer:
65
Step-by-step explanation:
180-115=65 bc all the lines are parallel.
The independent variable is hours and the score or points is the dependent variable .equation is s=3h
If it takes one person 4 hours to paint a room and another person 12 hours to
paint the same room, working together they could paint the room even quicker, it
turns out they would paint the room in 3 hours together. This can be reasoned by
the following logic, if the first person paints the room in 4 hours, she paints 14 of
the room each hour. If the second person takes 12 hours to paint the room, he
paints 1 of the room each hour. So together, each hour they paint 1 + 1 of the 12 4 12
room. Using a common denominator of 12 gives: 3 + 1 = 4 = 1. This means 12 12 12 3
each hour, working together they complete 13 of the room. If 13 is completed each hour, it follows that it will take 3 hours to complete the entire room.
This pattern is used to solve teamwork problems. If the first person does a job in A, a second person does a job in B, and together they can do a job in T (total). We can use the team work equation.
Teamwork Equation: A1 + B1 = T1
Often these problems will involve fractions. Rather than thinking of the first frac-
tion as A1 , it may be better to think of it as the reciprocal of A’s time.
World View Note: When the Egyptians, who were the first to work with frac- tions, wrote fractions, they were all unit fractions (numerator of one). They only used these type of fractions for about 2000 years! Some believe that this cumber- some style of using fractions was used for so long out of tradition, others believe the Egyptians had a way of thinking about and working with fractions that has been completely lost in history.
