Hello!
To solve an algebraic equation, you must isolate the variable on one side. We’ll begin by restating the given equation:
12 + 12n = -48
Now subtract 12 from both sides of the equation:
12n = -60
Divide both sides by 12:
n = -5
We have now proven that “n” is equal to (-5).
I hope this helps!
Answer:
Non-repeating decimal
Step-by-step explanation:
As a example, 32.93729, would be a never ending number. Which means it's not a rational number, it is a irrational number.
Answer:
The perimeter of the base of the birdhouse is 36 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?
step 1
Find the measure of the interior angle
Let
x ---> the measure of the interior angle
y ---> the measure of the exterior angle
Remember that
the sum of the interior and exterior angle in any polygon is equal to 180 degrees
so
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A


so

That means-----> The figure is a regular hexagon
step 2
Remember that
The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon
Let
b ----> the length side of the hexagon
so

The perimeter of the hexagon is given by the formula

substitute

Set the 2x - 1 equal to 9 then work backwards. 2x - 1 = 9 Nine minus one is eight divided by two is four. X = 4
Answer:
D. A(n) = P + (n-1)i*P
Step-by-step explanation:
The formula to calculate the simple interest is:

Replace i by
, then
SI = Pni
where n is the number of years.
So, for n-1 years, the simple interest is:
SI = P(n-1)*i
The Total amount is:
A(n) = P + (n-1)i*P