Caffeine

Hope this helped!

Caffeine :)

Thank you so much EP!

Everyone makes mistakes sometimes and it's OK. We all learn from it :)

However, I found the link to your question (asked by someone else) with a pretty good explaination:

https://web2.0calc.com/questions/find-a-polynomial-f-x-of-degree-5-such-that-both

Hope this helped!

Caffeine :)

We have drawn two lines  5x-2y=10, 3x+4y=12 on the graph.

We got two three points which forms triangle A, B,  C.

A is at y= 0 on line 5x-2y=10,

= > 5x=10

=> x = 2

=> A(2,0)

Now,  B is on line  3x+4y=12 , at y=0 ,

=> x = 4

=>B (4,0)

Then, C is at point of intersection of both lines 3x+4y=12 and 5x-2y=10.

That is,  Using Elimination method,

2*(5x-2y)=2*10

=>10x-4y=20

=>(3x+4y)= 12

+

= >13x=32

=>x=32/13

Substituting in any line out of two,  we get y = 15/13 .

C(32/13,15/13)

Hence,  Area of triangle is 15/13 sq. units.

(By the way this is someone else's answer, not mine. I do not take credit for the detailed explanation.)

Hope this helped!

Caffeine :)

For volume, the formula is length*width*height, for example, in (c), we have the length, 3, multiplied by the width, 6, multiplied by 2 (which is the height). This gives us 36 cm^3 as our answer.

For surface area, you find the area of each side, then add the areas up. In (c), we have two sides with 6*3 as the area, two sides with 6*2 as the area, abd 2 sides with 3*2 as our area. This gives us (6*3)+(6*3)+(6*2)+(6*2)+(3*2)+(3*2) = 72 cm^3 as the surface area.

You can do this with the rest of the rectangular prisms.

Hope this helped!

Caffeine :)

I believe I found your question here:

https://web2.0calc.com/questions/if-f-x-is-a-polynomial-of-degree-7-and-g-x-is-a-polynomial

Thank you so much! Your explanation really helped!

Thank you! I was able to solve it after this.

Thank you so much! That made a lot more sense with the image.

Thank you all so much!