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 

So first write an inequality
360 + 90m > 810
-360 -360
90m > 450
÷90 ÷90
m > 5
Step-by-step explanation:
f ( - 4) = 3 ( - 4) ² - 2( - 4)
=. 3 ( 16) + 8
=. 48 + 8 = 56
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Select the correct answer1 - quadratic, linear, exponential2 - 1.5, 18, 16, 123 - 16, 12, 20, 184 - 18, 6, 20, 12
Alexxandr [17]
1 - The equation is:

Since it has no variable on exponents and it has a term with x to the second power, this is a quadratic function.
2 - <em>x</em> represents the length of the tomato patch, so if we want the area of the bell pepper patch, we can input x = 8 into the function:

Thus, the area is 16 square feet.
3 - Since the leading coefficient is negative, the vertex of the parabola gives the maximum value for the function.
The <em>x</em> value of the vertex is:

So, in this case:

And to find the value for the area, we need to input that into the function:

Thus, the maximum area is 18 square feet.
4 - The value for the length of the tomato patch is just the corresponding <em>x</em> for this maximum, which we calculated as the vertex <em>x</em>:

Thus, the length of the tomato patch for this maximum value is 6 feet.
Answer:
$53.4
Step-by-step explanation:
calculator
just multiply 3.56 x 15 = 53.4