The y-intercept of the first question is 1 and it represents the number of minutes they stretch when they don't jog.
#4) y=1/2x + 1
#5) 10 cakes, because y=9/10x+1
Explanation
For the first question: The y-intercept is easily picked from the two points that define the line. (0, 1) would have to be on the y-axis, because when we plot it, the x-coordinate is 0. This means it is the y-intercept of the line.
#4) Finding the slope of the line, we use the formula
m=(y₂-y₁)/(x₂-x₁) = (3-1)/(4-0) = 2/4 = 1/2
The y-intercept is at (0, 1), using the same justification as the first question.
This gives us the equation y = 1/2x + 1.
#5) First we find the equation of the line. To do this, find the slope:
m=(y₂-y₁)/(x₂-x₁) = (10-1)/(10-0) = 9/10
The y-intercept is at (0, 1). This makes our equation y=9/10x + 1.
Using 10 as x (x represents the number of weeks) we have
y=9/10(10) + 1
y=9/10(10/1) + 1
y=90/10 + 1
y=9+1 = 10
The gas station is 32 miles away.
I hope this helps, and have a good night! :D
The range of the function is all real number values of y except y = 0.
Ordered pairs in the graph includes (-4, -0.5), (-2, -1), (-1, -2), (1, 2)
Answer:
15
Step-by-step explanation:
Answer:
(x-5)^2 + (y+9)^2 = 144
Step-by-step explanation:
The equation of a circle can be written as
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x-5)^2 + (y- -9)^2 = 12^2
(x-5)^2 + (y+9)^2 = 12^2
(x-5)^2 + (y+9)^2 = 144
