Answer:
(C) 245 miles
Step-by-step explanation:
We can view the starting and ending flight points as the hypotenuse of a right-angle triangle. Since the plane flew 125 miles south, the height of the triangle is 125 and we are given the hypotenuse as 275
If we designate the height as a and the hypotenuse as h, and the base as b then
h² = a² + b² by the Pythagorean theorem
or
b² = h² - a² ==> (h + a)(h - a) {x² - y² = (x + y) (x -y)}
Substituting known values
b² = 275² - 125² = (275 + 125)(275-125) = 400 x 150 = 60,000
b = √60000 = 244.94 and the closest answer is C: 245 miles
Answer:
9 - 11 = -2
Step-by-step explanation:
Because 9 is being subtracted by a number greater than itself, the answer has to be a negative and because:
9 + 2 = 11
9 - 11 = (-2)
Your Welcome :)
Answer:
the polynomial has degree 8
Step-by-step explanation:
Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.
So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.
1) term 
contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6
2) term 
contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7
3) term 
contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8
This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.
4/13 because the absolute value would be itself since it is positive. If it was negative then the absolute value would be positive.
Not sure is this is right but if the chemist wants to make the solution 35% acidic then he can use all of the 30% acid and 5% of the 45% acid.
