Answer:
The equation of this line would be y = -2/3x + 1.25
Step-by-step explanation:
In order to find this, first start with the base form for slope-intercept form.
y = mx + b
Now input the slope for m and the intercept for b.
y = -2/3x + 1.25
Answer:
Add the two x-coordinates and divide by 2 and the same thing for y-coordinates....takes two coordinates must be the ones that are the end points of the line
Answer:
$25.40
Step-by-step explanation:
Find the unit price. So what you do is just divide 304.80 by 12 to get the price of one which comes out to be $25.40
Answer:
length of rectangle = 5
width of rectangle = 5
Area of rectangle = 25
Step-by-step explanation:
Since the length of the rectangle is "x", and the value of the area is given by the product of the length "x" times the width "10-x", indeed, the area "y" of the rectangle is given by the equation:

Now, they tell us that the area of the rectangle is such that coincides with the maximum (vertex) of the parabola this quadratic expression represents. So in order to find the dimensions of the rectangle and therefore its area, we find the x-coordinate for the vertex, and from it, the y-coordinate of the vertex, which is the rectangle's actual area.
Recall that the formula for the x of the vertex of a quadratic of the form :

is given by the formula:

which in our case gives:

Therefore, the length of the rectangle is 5, and its width (10-x) is also 5.
The area of the rectangle is therefore the product of these two values: 5 * 5 = 25
Which should coincide with the value we obtain when we replace x by 5 in the area formula:

The volume of the right circular cylinder is 31064.54 cm³.
What is the formula for the volume of cylinder?
Formula:
V = πr²h.............. Equation 1
Since,
V = Volume of the right circular cylinder
r = radius of the base of the cylinder
h = height of the cylinder.
We have given that,
r = 46.25/2 = 23.125 cm
h = 18.5 cm
π = 3.14
We have to calculate volume of right circular cylinder.
Therefore,
Substitute these values into equation 1
V = 3.14(23.125²)(18.5)
V = 31064.54 cm³
Therefore
The volume of the right circular cylinder is 31064.54 cm³.
Learn more about the volume of a cylinder here:
brainly.com/question/1082469