Answer:
x=-2
Explanation:
M=y-y0/x-x0
M=1
y-y0/x-x0=1
y-2/x-0=1
-2/x=1
x=-2
It is all substitution :D
Hope you get it!
Answer:
<u>131 seats</u> are in the 30th row.
Step-by-step explanation:
The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.
Now, to find the number of seats in the 30th row.
So, we get the common difference(
) from the arithmetic sequence first:

Thus,
So, the first tem
= 15.
The number of last row (
) = 30.
Now, to get the number of seat in the 30th row we put formula:





Therefore, 131 seats are in the 30th row.
The '40 years' is not part of the question. It's just there to prove that
'2% each year' has been the experience for the past 40 years, so it's
a good number to use for the rate of growth, past or future.
So, at any number of years 'Q' after the beginning of "this period",
the population was or will be
Pop = (220,000) (1.02)^Q power.
(This equation is familiar from all of the bank-interest problems
the student has done in past math classes.)
In 10 years after the beginning of "this period",
Pop = (220,000) (1.02)¹⁰ = <em>243,800 </em>(or any reasonably close number)
Using variable concepts, it is found that the explanatory variable is the age.
<h3>Explanatory and response variables:</h3>
- The variables of an experiment are divided into explanatory and response.
- The response variable is the one that is the focus of the study, that is, the one that can be changed.
- The explanatory is the one that explains the reason of the change in the response variable.
In this problem, the <u>age can effect the political party preference</u>, hence:
- The variable that is changed is the political party preference, hence it is the response variable.
- The reason is the age, hence it is the explanatory variable.
You can learn more about explanatory and response variable at brainly.com/question/22046153
So you're using the Pythagorean theorem which is a^2 + b^2 = c^2... so if you dont have b you can manipulate the equation. That equation is c^2 - a^2= b^2, so you square 47 which is 2209 and then square 13 which is 169... you do 2209-169 and that equals 2040, then you do the square root of that which is 45.166359 that can be simplified to 45 or two decimal points 45.167. Hope that Helped! :)