We are given the statement that the strength, S, of a beam of width w andheight h is proportional to wh2. hence using k as the proportionality constant, the equation is S = k wh2. the exact width and height can be determined by applying optimization to the problem. optimization is taking the first derivative of an equation and equating then to zero

8 0

3 years ago

What is the slope and y-intercept of the equation represented by the following graph?

Solnce55 [7]

Referring the chart I attached, the slope is the ratio of rise to run

So we need to pick two points lying on the line to calculate the slope.

They would be (4,0) and (0,2)

$slope= \frac{rise}{run} = \frac{\Delta y}{\Delta x}= 
\frac{y_2-y_1}{x_2-x_1} = \frac{2-0}{0-4} = -\frac{2}{4} = -\frac{1}{2} 
$

That is for the slope

The y-intercept is where the line touches\crosses\intersects the y-axis...

It is clear from the figure that the line crosses the y-axis at (0,2)
so the<span> y-intercept is $y=2$

</span>

I hope that helps!

If you still need help, just let me know!

5 0

3 years ago

What is the area of the square with sides (2x - 3) feet?

g100num [7]

Answer:

2.25 or 9/4

Step-by-step explanation:

this might be wrong if it is im sorry

but solve for x =3/2 and then put into area calculator

5 0

3 years ago