Answer:
y=-1/2x+2
Step-by-step explanation:
First, the slope of perpendicular line have negative reciprocal coefficients. In this case the coefficient is 2, The reciprocal of 2 is 1/2 and the negative of 1/2 is -1/2. So x will have a coefficient of -1/2.
Second, find the equation with a slope of -1/2 that passes through (-2,3). There are a few ways to do this. I like to plug the given x value into the expression -1/2x, so -1/2(-2) which equals positive 1 and for the line to pass through the point (-2,3) you need to add 2. So: y=-1/2x+2
In quadrant 2, x is negative which means x < 0. Also, in quadrant 2, y is positive so y > 0.
An example point that is located in quadrant 2 is the point (-5, 8). Note how the first coordinate is -5 so x = -5 which is negative. Furthermore, the second coordinate is 8 meaning that y = 8 which is positive.
Quadrant 2 is the quadrant on the upper left-hand side of the four quadrants on the xy coordinate system.
If A=38x-x^2 then
dA/dx=38-2x
d2A/dx2=-2
Since the acceleration, d2A/dx2 is a constant negative, when velocity, dA/dx=0, it will be an absolute maximum for A(x)
dA/dx=0 only when 38=2x, x=19
A(19)=38(19)-19^2
A(19)=722-361
A(19)=361 ft^2
So the maximum possible area is 361 ft^2
(This will always be true as the maximum possible area enclosed by a given amount of material will always be a perfect square...)
The expression that models the length of the second leg of the triangle is <u>2x - 3.</u>
<u><em>Recall</em></u>:
The area of a triangle = 
<em><u>Given</u></em>:
Area of triangle = 
Length of one of the legs = 3x + 1
Therefore, it means that multiplying both legs should give us:

To find the expression that models the other leg, divide
by 3x + 1:



Therefore, the expression that models the length of the second leg of the triangle is <u>2x - 3.</u>
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brainly.com/question/20712284
Answer:
Dependant variables- how much fertiliser depends on the size of the lawn
Independent variables- Gardeners will always buy fertiliser.
Step-by-step explanation: