Use the distance formula, AB=√[(1-(-9)]²+[(-1-(-3)]=√[100+4]=√104
use the same formula, AC=√52, BC=√52
AC²+BC²=52+52=104=AB²
Yes, it is a right triangle.
Answer:
from this table we can tell Y is always 10 times bigger then X so we just have to multiply it again by ten so the answers are
300
500
700
X - 3 < 9 or x + 5 ≥ 10
+ 3 + 3 - 5 - 5
x < 12 or x ≥ 5
Solution Set: {x|x < 12 or x ≥ 5}, (-∞, 12) or (5, ∞)
Given:
The table of values for the function f(x).
To find:
The values
and
.
Solution:
From the given table, it is clear that the function f(x) is defined as:

We know that if (a,b) is in the function f(x), then (b,a) must be in the function
. So, the inverse function is defined as:

And,

...(i)
Using (i), we get

Now,


Therefore, the required values are
and
.
Answer:
Not sure if this is right but it might be something like
350,000-4%+1671m
or
3500,000-4%y/1671m
Step-by-step explanation:
The numbers we know are 350,000 4% and 1671 per month
350,000 is the full mortgage
4% is the APR or annual percentage rate like interest
and we know the monthly for the mortgage is 1671 per month