Given:
The equation of the curve is:

To find:
The gradient (slope) of the given curve at point (2,7).
Solution:
We have,

Differentiate the given equation with respect to x.


Now we need to find the value of this derivative at (2,7).




Therefore, the gradient (slope) of the given curve at point (2,7) is 19.
Since x=x, this is an isosceles right triangle. By the Pythagorean Theorem:
h^2=a^2+b^2 (the hypotenuse squared is equal to the sum of the squared sides)
5^2=x^2+x^2
25=2x^2
2x^2=25
x^2=25/2
x=√(25/2)
x=5/√2 now if we rationalize the denominator...
x=(5√2)/(√2√2)
x=(5√2)/2
Answer:
1.04 inch
Step-by-step explanation:
Given: Old house has a basement stairways with 7.25 inch vertical riser and 7 inch horizontal treads.
Remember; horizontal treads is known as run in steps.
Now, calculating the slope of the stairways.
Formula: 
Rise= 7.25 inch
Run= 7 inch.
Subtituting the value in the formula
Slope=
(∵ Round to two decimal)
∴ Slope of stairways is 1.04.
You need to divide the amount from the quantity
So 5.92 divide by 166= $0.37 per pound.
Answer: Sorry I don't know the answer but I recommend an app that will help you is called Mathpapa is really helpful and have helped me get A on test and homework
Step-by-step explanation: is htis one https://www.mathpapa.com/algebra-calculator.html