Answer:
AAS
Step-by-step explanation:
The answer is A. Geometric means multiply & you have to multiply by the same number for it to be a sequence
Answer:
The 20th day
Step-by-step explanation:
On the first day, number of people who know the secret=2
Number of people On the second day =2X2=4
Number of people On the third day =4X2=8
We can see that on each passing day, the number keeps doubling.
This is an example of a geometric progression.
Now we are to determine the number of days when the number of people who know the secret will grow past 1,000,000
For the G.P. 2,4,8,...
a=2, common ratio, r= 2
Uₙ=arⁿ⁻¹
arⁿ⁻¹>1000000
2X2ⁿ⁻¹>1000000
2ⁿ⁻¹⁺¹>1000000
2ⁿ>1000000<2²⁰=1048576
2ⁿ<2²⁰
n<20
It means on the 20th day, more than 1 million people will have been told the secret
Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, translation, rotation and dilation.</em>
Rigid transformation preserves the shape and size of the figure. <em>Reflection, translation, rotation</em> are rigid transformations.
Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'
Find out more on transformation at: brainly.com/question/4289712
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2x+6 is the base
Then the equation is logarithm of 144 on basis 2x + 6 = 2
Then [2x + 6]^2 = 144
Now expand the square binomial
4x^2 + 24x + 36 = 144
4x^2 + 24x + 36 - 144 = 0
4x^2 + 24x - 108 = 0
Divide by 4
x^2 + 6x - 27 = 0
Factor: (x + 9 ) (x - 3) = 0
x = -9 and x = 3
The only valid is x = 3, because x = -9 yields 2x + 6 = - 12 and the logarithm function cannot have negative basis.
Then the answer is x = 3.