<h2>Answer: y - 2 = ¹/₃ (x - 9)</h2>
<h3>Step-by-step explanation:</h3>
<u>Find the slope of the perpendicular line</u>
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.
⇒ if the slope of this line = -3
then the slope of the perpendicular line (m) = ¹/₃
<u>Determine the equation </u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 2 = ¹/₃ (x - 9)
<h3> ∴ the perpendicular line is y - 2 = ¹/₃ (x - 9)</h3>
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>
A unit circle has its center at the origin and has a radius of one. It is modeled by the equation
x² + y² = 1
We are given with <span>(x,-1)</span> .
Solving for x
x² + (-1)² = 1
x = 0<span />
Solve 3x−5 = 9:
Add 5 to both sides, to isolate 3x on the left side: 3x = 5+9 = 14
Solve this for x: x = 14/3
Answer:
It decreases by 21% in circulation.
Step-by-step explanation:
In order to find the percentage decrease, first, you have to find the difference of the circulation of a newsletter :
Then, you have to divide by the original amount and multiply by 100 :
Answer:
Option A: f(x) = log_0.98 (n/74)
Step-by-step explanation:
We are told that that the number of species is decreasing by 2% per year.
Thus, number of species each year is 98% or 0.98 of number of species the previous year. .
We are told that there are currently 74 species of amphibians in the rain forest.
Thus, n/74 will represent a fraction of the current number of species.
Thus, the logarithmic function that models the time can be written as;
f(x) = log_0.98 (n/74)