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For the first one, I would complete the square for x ....put that on the left side....everything else on the right side you will ahve to 'massage' the R side so your equation looks like  (x-h)^2 = 4p (y-k)

For the second one , remember the equation for standard form circle with center (h,k) is  (x-h)^2 + (y-k)^2 = r^2

   draw the rectangle.....find the center....that is h,k    then the radius is given as r=60   , but it is a blueprint scaled so 40ft = 2 units  (because the 800 ft dimension only goes to 40 units)

        so r will be drawn as  3 units

                   Now can you do it?

Thanks Guest.      

What a silly mistake I made,        

The change in x is from   1 to 7       6 units

The change in y is from 4 to  1        -3 units

A RATIO of 3:1 means the line is divided into FOUR segments (3+1)

   we want three of those segments from endpoint D    (an alternative would be three segments from fpoint F...I assumed from point D)

6 units x 3/4     added to the x value of 1 = x=5.5

-3 units x 3/4    added to the y value of 4 = y = 1.75

Cool, hey!

No

They are real adults who are SMART and SUPPORTIVE

So yeah...

g(x) = 4f(x)

Using the function f(x), can you find g(x)? Multiply everything by 4.

You are very welcome!

:P

Yes, but the sides must be whole numbers

To make the area as big as possible, we should make each side as close to each other as possible. For example, for perimeter 20, a 5x5 rectangle has more area than a 3x7 because 5 and 5 are close together.

With this, we can easily find that 7+8+7+8, or a 7x8 rectangle, is the most compact rectangle with whole number dimensions.

The area of this is 56 square units.

You are very welcome!

:P

https://web2.0calc.com/questions/math_42066#r1

If it were a SQUARE with equal sides, it's area would be maximized, but the sides would be 7.5

  so I think 8 x 7 would maximize the area of a rectangle  = 56 sq units

The formula for area is a*b=c where c is the area and a,b are the length and height

we know that 2a+2b= the perimeter of the shape and simplifying it would be

a+b=15

the best way to get your answer is to look at a graph

this graph shows the max it could be and the answer is easy to find because it is literally the middle of the line which is

(7.5,7.5) and that gives you an answer of 56.25

WOW!!!...great way of solving this!!!..Tank you very very much!!

Hi Melody,

gosh I always tend to overthink things...it's really very simple....I should apologise for waisting your time on something like this......sorry..

Thanks again Melody!!..well, I realised they were the same, and ...that confused me...

Alan,

thanks again...I understand my error...thanx a million!

B) equal

Hello Melody!!!...well yes, that's what I meant, however i think I lost track of how exactly the question was put. I'll have a look at it again..thank you sooo much for the reply..