20. (06.07 )

<span>To minimize the perimeter you should always have a square.
sqrt(289) = 17
The dimensions should be 17 X 17

To see , try starting at length 1, and gradually increase the length.
The height decreases at a faster rate than the length increases, up until you reach a square.

Or if you want to use algebra, Say the width is 17-x
Then the length is 289/(17-x)

Now, this is bigger than 17+x, as shown here:
289/(17-x) > 17+x
289 > 289 - x^2
which is true.
so the perimeter would be bigger than 2 * (17- x + 17 + x) = 2 * (2 * 17) = 4 * 17

Again, the dimensions should be a square. 17 X 17.</span>

4 0

3 years ago

What is/are the solution(s) of the system of equations? Why you say that is the solution? Write your answer in complete sentence

Alexus [3.1K]

Answer: The answer to a system of equations is the point(s) of intersection of the equation involved.

When you have more than one equation with more than one variable, you have a system of equation. The solution(s) is the set of values for each variable that satisfy the equations. This means that the inputting values make the equations true.

6 0

3 years ago

Find the coordinates of point P on →AB that partitions the segment into the given ratio AP to PB .

marysya [2.9K]

The line segment AB is divided at point P, which has coordinates P(0,-7.5)

A line segment is a section of a line that connects two locations to create a straight line or we can say that is connects two distinct points together to form a single line. It is extendable to either side.

Given are,

A line segment AB with coordinates of A(0,0 ) and B(-15,0) respectively

Two minor line segments, AP and PB, are created from the line segment AB by the provided point P

We must determine the dividing point's coordinates, or P.

We'll apply the formula provided,

The coordinates of the point P are given by = ( $\frac{x1+x2}{2}$ , $\frac{y1+y2}{2}$ )