Answer:
Step-by-step explanation:
We are given;
- A point (6, -4)
- An equation of a line, 9x - 3y = 9
We are required to determine the equation a line passing through a point (6, -4) and perpendicular to the given line;
- To answer the question we need to get the gradient of the given line first.
- We write the equation 9x - 3y = 9 in the form of y = mx + c, where m is the slope;
y = 3x -3
- Thus, the slope of the line is 3
But; m₁ × m₂ = -1 (For perpendicular lines)
Therefore;
m₂ = -1 ÷ 3
= -1/3
Therefore, the slope of the line in question is -1/3 and the line passes through (6, -4).
To get its equation, we get another point (x, y)
Then;
Thus;
In the form of slope-intercept, the equation will be;
Thus, the equation of the line is;
You’re gonna use the midpoint formula to find the radius: (1+7/2, 2-6/2) and get (4,-2). Now you use the distance formula to find the radius which would be √(1-4)^2 + (2-(-2)^2 and get 5 (√= square root of). Now you plug that into the circumference equation C= 2 x pi x 5 and get 31.4 units. Sorry that took me so long and hope this helps you out!!
Answer:
Step-by-step explanation:
To find the inverse function switch variables out and solve for y
If
y=(x+3)/x swap variables to get
(y+3)/y=x then solve for y
y+3=yx
y-yx+3=0
y-yx=-3
y(1-x)=-3
y=-3/(1-x)
y=3/(x-1)
Answer:
0.15 miles per minute
Step-by-step explanation:
You want the rate 4.5 miles in 30 minutes expressed in terms of miles per minute.
<h3>Unit rate</h3>
To find miles per minute, divide miles by minutes.
speed = miles/minutes = (4.5 mi)/(30 min) = 0.15 mi/min
Samantha can walk 0.15 miles per minute.
