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2 years ago

What is the slope of a line that contains the points (2,2) and (4,4)

Mathematics

1 answer:

Gre4nikov [31]2 years ago

5 0

Answer:

m = 1

Step-by-step explanation:

Slope is defined as m = rise / run.

As we move from (2,2) to (4,4), x increases by 2 and y increases by 2.

Thus, the slope of this line is m = rise / run = 2/2 = 1: m = 1

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3 years ago

Select all the equations on which the point (10,0) lies.

Makovka662 [10]

Answer:

B, C

Step-by-step explanation:

Since y=0, you are looking for equations such that 10 times the coefficient of x is the constant in the equation.

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1 year ago

Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 70 feet of fencing to

viktelen [127]

The dimension that would give the maximum area is 20.8569

<h3>How to solve for the maximum area</h3>

Let the shorter side be = x

Perimeter of the semi-circle is πx

Twice the Length of the longer side

$[70-(\pi )x -x]$

Length = $[70-(1+\pi )x]/2$

Total area =

area of rectangle + area of the semi-circle.

Total area =

$x[[70-(1+\pi )x]/2] + [(\pi )(x/2)^2]/2$

When we square it we would have

$70x +[(\pi /4)-(1+\pi)]x^2$

This gives

$70x - [3.3562]x^2$

From here we divide by 2

$35x - 1.6781x^2$

The maximum side would be at

$x = 35/2*1.6781$

This gives us 20.8569

Read more on areas and dimensions here:

brainly.com/question/19819849

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