Suppose the length of the triangle is x, if the perimeter of the rectangle is 100 ft, the width of the rectangle will be (50-x) ft.
Area of rectangle will be:
A=length*width
A=x(50-x)
A=50x-x^2
at maximum area, dA/dx=0
thus
dA/dx=50-2x=0
solving for x we get
2x=50
x=25
thus for maximum area length=25 ft
the size of the width will be
50-x=50-25=25 ft
thus the maximum area will be:
25*25=625 sq. feet
(3/4)/3
3/12
1/4
So he spent a 1/4 hour milking each group.
X - $5 bills
y - $10 bills
x + y = 12
y = 5x
x + (5x) = 12
6x = 12
x = 2
y = 5(2)
y = 10
10 $10 bills and 2 $5 bills
When there's a strong positive, the points are: B. Close together.
<h3>Strong Positive Relationship</h3>
- On a scatter plot, if the data points are close together along the trend line sloping upwards, it means there's a strong positive correlation.
- Strong positive correlation means the two variables change in the same direction.
Therefore, when there's a strong positive, the points are: B. Close together.
Learn more about strong positive relationship on:
brainly.com/question/15552860
Get the equation of the line containing PQ using the point-slope formula:
<em>y</em> - (-2) = 3/2 (<em>x</em> - (-6))
Solve for <em>y</em> to get it in slope-intercept form:
<em>y</em> = 3/2 <em>x</em> + 7
so the <em>y</em>-intercept is (0, 7).
The line containing QR is then
<em>y</em> - 7 = -3/4 (<em>x</em> - 0)
or
<em>y</em> = -3/4 <em>x</em> + 7
The point R is on the <em>x</em>-axis, so its <em>y</em>-coordinate is 0. Plug in <em>y</em> = 0 and solve for <em>x</em> to get the other coordinate:
0 = -3/4 <em>x</em> + 7
3/4 <em>x</em> = 7
<em>x</em> = 4/3×7 = 28/3
So the point R has coordinates (28/3, 0).
