Answer:
- Sales price= $
List price=L Discount
Step-by-step explanation:
The percentage discount is 
The discount is always given on the list price.
Let the list price be L, then
List price=L
Sales price= $
Discount
We substitute into the equation to get:
Divide both sides by 0.805
The list price of the swimming pool is $1450
Answer:
, 8cm, are both options
Step-by-step explanation:
For a right triangle one can find the length of the longest side by using the Pythagorean theorem. So there are two options I can think of that if the triangle is a right triangle will work. First remember what the Pythagorean theorem is : side a^2+side b^2=hypotenuse^2
The hypotenuse is the longest side of a right triangle. So if the sides that are 15 and 17 cm are not the longest sides then the formula would be:
But if 17cm is the longest side then:
Hope this helps!
The answer is 4/15
2/5 * 2/3 = 2 · 2/5 · 3 = 4/15
Multiply the numerators and denominators together. Keep the result fraction to the smallest possible denominator GCD(4, 15) = 1. It cannot further simplify the fraction result by canceling in the following intermediate step.
In other words, two fifths times two thirds equals four fifteenths.
Learn more about fraction here:
brainly.com/question/17220365
The first solution is quadratic, so its derivative y' on the left side is linear. But the right side would be a polynomial of degree greater than 1, so this is not the correct choice.
The third solution has a similar issue. The derivative of √(x² + 1) will be another expression involving √(x² + 1) on the left side, yet on the right we have y² = x² + 1, so that the entire right side is a polynomial. But polynomials are free of rational powers, so this solution can't work.
This leaves us with the second choice. Recall that
1 + tan²(x) = sec²(x)
and the derivative of tangent,
(tan(x))' = sec²(x)
Also notice that the ODE contains 1 + y². Now, if y = tan(x³/3 + 2), then
y' = sec²(x³/3 + 2) • x²
and substituting y and y' into the ODE gives
sec²(x³/3 + 2) • x² = x² (1 + tan²(x³/3 + 2))
x² sec²(x³/3 + 2) = x² sec²(x³/3 + 2)
which is an identity.
So the solution is y = tan(x³/3 + 2).
