In the triangle with legs 7 and 9 cm, you can find the length of the hypotenuse by using the Pythagorean theorem. If the hypotenuse is
, then

The other right triangle with leg 6 cm and containing the angle
satisfies

Answer:
C.
Step-by-step explanation:
For Function 2
x=1 y=8
x=2 y=11
8=m+b
11=2m+b
11-8=2m-m
m=3
8=3+b
b=5
y=3x+5
Function 1
y=4x+5
Function 2
y=3x+5
....................
Function 1 has the same y-intercept and greater slope than Function 2.
Answer:
The population will reach 34,200 in February of 2146.
Step-by-step explanation:
Population in t years after 2012 is given by:

In what month and year will the population reach 34,200?
We have to find t for which P(t) = 34200. So



Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



In this question:

So 
Then



We only take the positive value.
134 years after 2012.
.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.
So the population will reach 34,200 in February of 2146.