Answer:
He pays to the cab driver for 25 miles.
Step-by-step explanation:
Consider the provided information.
Let us consider he walks x miles at the rate of 4 miles per hour.
As we know 
Therefore, time taken is: 
He get a taxi for (31-x) miles at the rate of 50 miles per hour.
Therefore, time taken is: 
It took 2 hours after he started.
That means the sum of time take is 2 hours.





Hence he walk 6 miles and he get a taxi for 31-6=25 miles.
He pays to the cab driver for 25 miles.
Answer: h=7
Step-by-step explanation:
By definition the function in vertex form is:

Where (h,k) is the vertex of the parabola.
You must group the terms that contain the same variable in the function:

Complete the square as following:

Now you must rewrite it as following:

Then:
h=7
Answer:
Step-by-step explanation:
keeping track of family relations can be difficult. If Edna marries your mother’s uncle Charlie, what should you call her? If your father’s cousin’s daughter just had a baby boy, how should you two be introduced? Who is your “great great aunt”, and how can you find your “first cousin twice removed”? Fortunately, a bit of mathematical logic can clarify who should be called what, and why – and even measure the degree of genetic similarity between different relatives.
Answer:
the length of the first side of the triangle is 
the length of the second side of the triangle is 
the length of the third side of the triangle is
Step-by-step explanation:
Let
x-----> the length of the first side of a triangle
y----> the length of the second side of a triangle
z---> the length of the third side of a triangle
we know that
-----> equation A

-----> equation B
The perimeter of the triangle is equal to


so
-----> equation C
substitute equation A and equation B in equation C

solve for x


Find the value of each side
the first side of a triangle is x

the second side of a triangle is y

the third side of a triangle is z
Hi there!

Evaluating f(x) at x = 9 means we must use the piecewise function where x = 9 is included.
f(x) = 12 includes 9 because a "≤" is inclusive of the interval. Thus:
f(9) = 12