Answer:
c is the correct option
Step-by-step explanation:
from,
f'(x) = h >0 <u>f</u><u>(</u><u>x</u><u> </u><u>+</u><u> </u><u>h</u><u>)</u><u> </u><u>-</u><u> </u><u>f</u><u>(</u><u>x</u><u>)</u><u> </u>
h
f(x) = - √2x
f(x + h) = - √(2x + h)
f'(x) = h>0 <u>-</u><u>√(2x + h) - √2x</u>
h
rationalize the denominator
= h>0 <u>-</u><u>√</u><u>(</u><u>2</u><u>x</u><u> </u><u>+</u><u> </u><u>h</u><u>)</u><u> </u><u>+</u><u> </u><u>√</u><u>2</u><u>x</u><u> </u><u> </u><u>(</u><u>-</u><u>√</u><u>(</u><u>2</u><u>x</u><u> </u><u>+</u><u> </u><u>h</u><u>)</u><u> </u><u>-</u><u> </u><u>√</u><u>2</u><u>x</u><u>)</u>
h (-√(2x + h) - √2x)
= h>0 <u>4</u><u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>h</u><u> </u><u>-</u><u> </u><u>4</u><u>x</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>
h(-√(2x + h) -√2x)
= h>0 <u>2</u><u>h</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>
h(-√(2x+h) - √2x)
= h>0 <u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>2</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>
-√(2x+h) - √2x
A perimeter of a rectangle is:

They give you the width, but let's convert it to an improper fraction first:

The length is twice the width so it is:

Now, we are ready to solve, plug in values in the perimeter formula:

So, 40 is your answer.
Answer:
5 x 9 = 45
Step-by-step explanation:
A good way to estimate this would be rounding to the nearest whole number.
First we'll look at 4.73. If we're rounding to the nearest whole number, then that means we'll look at the digit one place to the right of 4. The digit to the right of 4 is 7. 7 is greater than 5 so we round up. We get 5. If we do the same for the other number we see that it also gets rounded up to 9. So our new equation is: 5 x 9. That is a simple multiplication equation and when we multiply we get 45.
Hope this helped!
144=(x+7)^2 take the square root of both sides...
12=x+7 subtract 7 from both sides...
x=5
So the original was a 5m square.
...
255=WL and you are told that W=L+2 so the equation becomes:
255=(L+2)L
255=L^2+2L
L^2+2L-255=0
L^2+17L-15L-255=0
L(L+17)-15(L+17)=0
(L-15)(L+17)=0 Since L>0...
L=15yd, and since W=L+2, W=17yd so
length=15, width=17yd