Answer:
[-4,2] or
Step-by-step explanation:
Range is the range of the y-axis.
Although we see that the "line" ends at a specific point, it is neither the highest or lowest y-value.
Our lowest y value is -4, and because it is a line, it is not an open dot resulting in a [, instead of a (.
This same thing happens with highest y-value which happens to be 2.
This is interval notation.
Due to your question, you may be asking for this:
The right triangle is assumed to be inscribed in the rectangle, such that
hypotenuse is the diagonal of the rectangle.
Reasons:
Let <em>x</em> and<em> </em><em>y</em> represent the length of the sides of the rectangle
Whereby the base and height of the right triangle are the same as the
length and width of the rectangle, we have;
Perimeter of the rectangle = 2·x + 2·y = 68
Therefore;
x + y = 34
The base of the right triangle = x
The height of the right triangle = y
By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)
Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60
Which gives;
∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26
The length of the hypotenuse side, √(x² + y²) = <u>26 cm</u>
Learn more about Pythagoras's theorem here: