Answer:
The lines are parallel
Step-by-step explanation:
y = -2x+1 and y = -2x+4 are in the form y = mx +b
Both have a slope of -2
If the slopes are the same the lines are parallel
Answer:
radius
Step-by-step explanation:
AJ is half the distance across the circle (radius).
Answer:
d = 200 miles
t = 1.5 hrs after start
Step-by-step explanation:
Set the origin at car a starting point.
equation for distance to car b
x = 250 - 60t
equation for distance to car a
y = 80t
distance between car a and car b
d = √((250 - 60t)² + (80t)²)
d = √(62500 - 30000t + 3600t² + 6400t²)
d = √(62500 - 30000t + 10000t²)
d = 100√(6.25 - 3t + t²)
setting the derivative to zero
0 = 100t - 150 / √(t² - 3t - 6.25)
The denominator cannot be zero, so the numerator must
0 = 100t - 150
150 = 100t
t = 1.5 hrs
d = √((250 - 60(1.5))² + (80(1.5))²)
d = √(160² + 120²)
d = 200 miles
48 ÷ 80 = .6
60/100 = 6/10 = 3/5
3/5 of every gallon is green
You can spot a linear equation when the highest degree for a variable in the equation is 1.
E.g.
y = 2x +4
The highest power of x in this equation is 1, since variable x of the 2x is x is to the power of 1, and 4 is a constant where you can imagine it to have an x but to the power of 0.
E.g.
y=x^2 + 2x +4
In this case, this would be an quadratic equation because the highest power that the variable x has in this equation is 2 (x to the power of 2).
