Answer:
412.3 feet
Step-by-step explanation:
A canoe rental shop is being built near a river. An equation of the line representing the river is y=1/4x+8. Each unit in the coordinate plane corresponds to 100 feet. Approximately how far is the canoe rental shop from the river? Round your answer to the nearest whole foot. The rental shop is at (-3,3).
Solution:
The distance between a point and a line is the perpendicular distance. The perpendicular distance is the shortest distance between the point and the line.
Given a point (
) and a line with the equation Ax + By + C = 0, the perpendicular distance (d) is given as:
Given the equation of the line y = 1/4 x + 8
y - 1/4 x - 8 = 0
Therefore A = -1/4, B = 1 and C = -8
The point is (-3,3), therefore 
Okay, here we have this:
It says that: "Seven more than four times a number (x) is less than or equal to 6"
So, let's take the number as x and from the statement we obtain the following inequality:
7+4x≤6
And as it contains a variable the inequality is open by definition
<span>4 x 362 = 4 x (300 + 60 + 2) = 4 x 300+ 4 x 60 + 4 x 2 = 1200 + 240 + 8 + 1448</span>
Answer: 59.5 minutes.
Step-by-step explanation:
1. You have the following information given in the problem above:
- 8 songs are 4.25 minutes long.
- 3 songs are twice as long as each of the others.
2. Therefore, the total time of 8 songs is:
3. And the total time of the 3 songs is:
4. Therefore, you have that the result is:
