Answer:
Y=2x+2
Step-by-step explanation:
2x is the positive gradient
and +2 is where it passes through the y axis
Answer:
y = 7
Step-by-step explanation:
Mathematically, according to the Pythagoras’ theorem;
The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides
The hypotenuse is the side that faces the right angle and it is represented by the square root of 85 here
Thus, we have it that;
(√85 )^2= 6^2 + y^2
85 = 36 + y^2
y^2 = 85-36
y^2 = 49
y = √49
y = 7
The area of the pen is the products of its dimensions
- The dimension of the pen is 300 by 120 feet
- The maximum area of the pen is 36000 square feet.
Let the dimension of the fence be x by y.
So, we have:
<em />
<em> --- perimeter</em>
<em />
<em> -- area</em>
<em />
Subtract 5y from both sides of 

Divide both sides by 2

Substitute
in 


Split

Differentiate

Set to 0

Add 5y to both sides

Divide both sides by 5

Substitute
in 




Recall that:

So, we have:


Hence, the maximum area of the pen is 36000 square feet.
Read more about maximum areas at:
brainly.com/question/11906003
Answer:
Option 2
Step-by-step explanation:
First distribute 5r to 2r and 4 to get 10r^2+20r
Then distribute 8 to 2r and 4 to get 16r+32
After that you combine the like terms, so combine 20r and 16r to get 36r
Since there aren't other like terms for 10^2 and 32 you leave them how they are
After you combine your like terms you write the terms in order to get 10r^2+36r+32
Hope this helped!