Answer:
The inequality that you have is . You can use mathematical induction as follows:
Step-by-step explanation:
For we have:
Hence, we have that
Now suppose that the inequality holds for and let's proof that the same holds for . In fact,
Where the last inequality holds by the induction hypothesis.Then,
Then, the inequality is True whenever .
It's name is “isosceles triangle”
Answer:
75 miles
Step-by-step explanation:
We are given the scale on the map, which is that 1 inch is 25 miles in real life. We can write that as a ratio of 1 inch: 25 miles. Now say we have two inches, then we have 50 miles because we add on another 25 miles, then we do that again and we get to 75 miles.
Another way to think about it (more complicated):
you can represent ratios as a fraction
so we do 1/25=3/x
To find x, we can do (25*3)/1 which equals 75, if you don't know what I did there then you don't know, sorry!
you can also do it in a different way
same scenario though
you represent it as a fraction
and do 1/25=3/x. We see that the ratio from 1 to 3 is multiplied by 3 so that means the ratio from 25 to x is also going to be multiplied by 3, and 25 multiplied by 3 is 75.
Please let me know if you have any questions.
Answer:
B
Step-by-step explanation:
The given equations satisfy the given conditions. There are 2 equations and 2 unknowns, so a certain solution can be found.
This can be solved using substitution,
Substituting eqn 2 to eqn 1:
2(2y – 10) + 3y =1240
Simplifying,
y = 180
x = 350
Answer:C 5a^2 +70a +240
Step-by-step explanation: