Answer:
30 mph
Step-by-step explanation:
time = distance/speed
If x represents Jane's speed along the summit then her total exploration time is ...
12/x + 40/(x -5) = 2 . . . . . hours
Multiplying by (x)(x -5), we get ...
12(x -5) +40(x) = 2(x)(x -5)
Dividing by 2 and subtracting the left side gives ...
x^2 -31x +30 = 0
(x -30)(x -1) = 0 . . . . . factor
Solutions are x = 30 and x = 1, values of x that make the factors zero. A speed of 1 mph makes no sense in this problem, so ...
Jane's speed along the summit was 30 mph.
Answer:
this is a ninth degree polynomial in m
Step-by-step explanation:
Inspect the polynomial for the highest power of the variable m. It is m^9. Thus, this is a ninth degree polynomial in m.
Answer:
The point 
is not a solution of the system of inequalities
Step-by-step explanation:
we have
-----> inequality A
-----> inequality B
we know that
If a ordered pair is a solution of the system of inequalities
then
the ordered pair must be satisfy the inequalities of the system
Verify
For 
substitute the value of x and the value of y in the inequalkity A and in the inequality B
Inequality A
-------> is not true
therefore
The point is not a solution of the system of inequalities
check the picture below.
recall that in a rhombus, both diagonals bisect each other, namely cut each other in equal halves and at right-angles, so we end up with 4 right-triangles.
now, the sides in a rhombus are all equal, thus the perimeter is 13+13+13+13.
its -5 so it is A,( -19/2, -5)
