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3 years ago

Explain how a rational number and an irrational number are different.

1 answer:

4 0

An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.

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You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river

inn [45]

Answer:

The length and width of plot is $L=300\:ft$ , $W=150\:ft$

Largest area of the plot is $A=45000 ft^{2}$

Step-by-step explanation:

Assume width as x and length as y. Given that length of fencing is 600 feet and fencing is enclosed on 3 sides. So perimeter is given as,

Perimeter = width + length + width

Substituting the value,

$600=x+y+x$

$600= 2x+y$ ….1

Now area of fence of rectangular box is given as follows,

$A=xy$ ….2

Solving equation 1 for y, subtracting 2x from both sides,

$600-2x= y$

Substituting the value in equation 2,

$A=x\left (600-2x \right )$

Simplifying

$A=600x-2x^{2}$

Rewriting,

$A=-2x^{2}+600x$

Above equation looks like quadratic equation $f\left ( x \right )=ax^{2}+bx+c$ whose graph looks like parabola.

Comparing equation f(x) and A values of a, b and c are, $a=-2,b=600$ and $c=0$ .

Now maximum of $f\left ( x \right )$ occurs at vertex.

The x coordinate of the vertex is given as $-\dfrac{b}{2a}$

Substituting the values,

$x=-\dfrac{600}{2\left (-2 \right )}$

Simplifying,

$x=\dfrac{600}{4}$

$x=150$

So width of plot is 150 feet.

Now to calculate value of length by using equation 1,

$600= 2x+y$

Substituting the values,

$600= 2\left (150 \right )+y$

$600= 300+y$

Subtracting 300 from both sides,

$300= y$

So length of plot is 300 ft.

The y coordinate of the vertex is given as $y=f\left ( -\dfrac{b}{2a} \right )$ which also means, $y=f\left ( 150 \right )$

$\therefore A=-2\left (150 \right )^{2}+600\left (150 \right )$

Simplifying,

$\therefore A=-2\left (22500 \right )^{2}+600\left (150 \right )$

$\therefore A=-45000+90000$

$\therefore A=45000$

So, area of the plot will be $A=45000 ft^{2}$

7 0

3 years ago

A man was murdered in his office. The suspects are gerry, julie, jason, nick and sophie. The number 6,4,9,10, 11 are written on

lara31 [8.8K]

A man was murdered in his office. The suspects are gerry, julie, jason, nick and sophie. The number 6,4,9,10, 11 are written on calendar with blood. The correct answer is JASON.

In calendar, 
6 - June
4 - April
9 - September
10 - October
11 - November

When you add all the initials, you'll get JASON.

5 0

3 years ago

Make sure it's fully reduced. 2 - x = 5/8

postnew [5]

Isolate the x. Note the equal sign. What you do to one side, you do to the other.

First, subtract 2 from both sides

2 (-2) - x = (5/8) - 2

-x = 5/8 - 2

Make sure they have the same denominator. Remember that what you multiply to the denominator, you multiply the numerator:

-x = 5/8 - 16/8

-x = - 11/8

Isolate the x. Divide -1 from both sides

(-x)/-1 = (-11/8)/-1

x = 11/8

11/8 is your answer for x

~Rise Above the Ordinary

7 0

3 years ago

Please tell me what 0.85 = a/-7.2 is. thanks

attashe74 [19]

Your answer would be a=-6.12

6 0

3 years ago

Which expression is even for all integers a and b?

Irina18 [472]

Do u have a problem that went with this?

3 0

3 years ago

Read 2 more answers

Explain how a rational number and an irrational number are different.​

Explain how a rational number and an irrational number are different.