Answer:I love thee fact that I am a straight a Student but I don't wanna help you dumb people
Step-by-step explanation:
10√3 (-7 - √5)
10√3 × -7 + 10√3 × -√5
-70√3 + 10√3 × -√5
-70√3 - 10√3√5
-70√3 -10√3 × 5
-70√3 - 10√15
hope that helps, God bless!
Answer:
1. -√19 2. 4.56 3. √21 4. 23/5
Step-by-step explanation:
We will have the following:
*First: We determine the translation rule:
We have that the point went from (3, -4) to (0, -5), thus the translation rule would be:

Second: We apply the translation rule to the other point to determine it's image, that is:

So, the image of the second point is (5, 6).
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.