

Now before taking the inverse tangent of both sides, recall that

where

is any integer. This means that when taking the inverse tangent of

, instead of just

, we would end up with

So after doing so in the equation above, we're left with

As

can be any integer, including negative integers, we can simply write
Answer:
(x - 8)² = 14
Step-by-step explanation:
Given
x² - 16x + 26 = - 24 ( subtract 26 from both sides )
x² - 16x = - 50
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 50 + 64
(x - 8)² = 14
Your answer is : D.)
Hope this helps love! <3
The recursive formula
can be used to generate the shown sequence
Step-by-step explanation:
Recursive formula is the formula that is used to generate the next term of a sequence using previous term.
The general form of arithmetic sequence's recursive formula is:

Given
5,-1,-7,-13,-19
Here

First of all we have to find the common difference of the sequence.
So,

Putting the value of d in the general recursive formula

Hence,
The recursive formula
can be used to generate the shown sequence
Keywords: Sequence, arithmetic sequence
Learn more about arithmetic sequence at:
#LearnwithBrainly
Answer:
4.48 years
Step-by-step explanation:
The formula for simple interest is
A = P(1+r*t), with A being the final amount, P being the initial amount, r being the interest rate, and t being the time. Plugging our values in, we get
1750 = 1500(1+0.0372 * t)
Note that 3.72 was translated into 0.0372 as changing percents to decimals requires dividing by 100
Expanding our equation, we get
1750 = 1500 + 55.8 * t
subtract 1500 from both sides to isolate the t and its coefficient
250 = 55.8 * t
divide both sides by 55.8 to get t
t = 4.48