Use the Pythagorean Theorem to solve for the third side. The third side must be the hypotenuse since the height (vertical leg) is 9, and the length (horizontal leg) is 5.
a² + b² = c², where a and b are the legs and c is the hypotenuse. Plug in 5 and 9 for a and b; solve for c.
5² + 9² = c² ⇒ 25 + 81 = c²
106 = c²
Square root both sides.
c = 10.3
Third side: 10.3
Answer: The number of tomatoes went up relative to the increase of fertilizer used. the slope is positive.
Step-by-step explanation:
Answer:
and 
Step-by-step explanation:
We have the following system of equations:
and 
To solve the problem, we need to equal the two equations:
⇒
⇒
⇒
So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are
and
.
Then, the factorized form of the polynomial is:
.
The, the solution to the system of equations is:
and
.
We can find the acceleration via

We have


Then by definition of average acceleration,

so that


We alternatively could have found the time without knowing the acceleration. Since acceleration is constant, the average velocity is

Then

