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2 years ago

10

Is -2.5 rational or irrational

2 answers:

finlep [7]2 years ago

7 0

Rational because it can be read as a decimal.
Remember: rational numbers can be read as a whole number, fraction and decimal (even if it’s terminated or repeated with the same number at the end)
Irrational numbers are infinite numbers that cannot be read and they do not repeat over and over within a pattern.
Example the square root of 5 is irrational because it is not a perfect square and it ends up coming out as infinite decimals that continue but don’t repeat in a pattern. Hope this helps :)

kakasveta [241]2 years ago

5 0

rational because it can be written as a fraction

If a number can not be written as a fraction it is irrational

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What is the side length, in inches, of the pets

tatiyna

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?

Answer:

the length of the sign is $4x-5$ inches

Step-by-step explanation:

Given

Area of the square of design = $16x^{2} -40x+25$

First we find the roots of equation $16x^{2} -40x+25=0$

The roots of the quadratic equation $ax^{2} +bx^{2} +c=0$ are given by

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where $a=16, b=-40, c=25$

$x=\frac{40\pm\sqrt{(-40)^2-4\times 16\times 25}}{2\times 16}$

$x=\frac{40\pm\sqrt{1600-1600}}{32}$

$x=\frac{40\pm\sqrt{0}}{32}$

$x=\frac{40}{32}$

$x=\frac{5}{4}$

$4x=5\\4x-5=0$

That is, the factors of the polynomial $16x^{2} -40x+25$ are $4x-5$ and $4x-5$ .

So, Area of the square design = $16x^{2} -40x+25$ = $(4x-5)^{2}$

Area of a square = Length^2

Thus, the length of the sign is $4x-5$ inches

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