We can borrow from what we know about cylindrical coordinates to set
where 
. Then we can let
with 
.
Two ways of solving:
1. Convert the fractions to decimals:
3/7 = 0.42857
3/5 = 0.6
0.42857 < 0.6
So 3/7 < 3/5
Second way is to rewrite the fractions with a common denominator:
3/7 = 15/35
3/5 = 21/35
Now compare the numerators:
15 < 21 so 3/7 < 3/5
Answer:
We can factor the quadratic function into (2x + 7)(x + 1) and this way, the terms sum to 2x^2 + 9x + 7. Looking at the 2 factors 2x+7 and x+1, the way to find the zeros is to set both of these expressions equal to 0. Therefore we have: 2x+7=0
Step-by-step explanation:
Hi I think this answer would be b. A is backwards. C and d do not make sense
Answer:
Step-by-step explanation:
Consider triangles BKE and DKA. In this triangles:
as vertical angles;
as alternate interior angles (lines BC and AD are parallel and BC is a transversal);
as alternate interior angles (lines BC and AD are parallel and BE is a transversal).
Thus triangles BKE and DKA are similar by AA theorem. Similar triangles have proportional sides lengths:
Thus, 
Since AD=BC and BC=BE+CE, we have that 4BE=BE+EC, EC=3BE. Hence, the ratio BE to EC is
