Answer:
y = -1/2 x - 13/2
Step-by-step explanation:
what is an equation of the line that is perpendicular to y-4=2(x-6) and passes through (-3,-5)
First, we need the slope of the given line.
y - 4 = 2(x - 6)
y - 4 = 2x - 12
y = 2x - 8
The slope of the given line is 2.
The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular is -1/2.
y = -1/2 x + b
We use the given point as x and y and solve for b.
-5 = -1/2(-3) + b
-10 = 3 + 2b
2b = -13
b = -13/2
The equation of the perpendicular line is:
y = -1/2 x - 13/2
Answer:
Least to greatest #1 - 0.3, 0.35, 0.5, 0.53, 3.5
Least to greatest #2 - 9.6, 9.67, 9.7, 9.76, 19.6
<em>Least meaning the lowest/smallest number.</em>
<em>Greatest meaning the highest/ biggest number.</em>
Answer:

Step-by-step explanation:
The generating function a(x) produces a power series ...

where the coefficients are the elements of the given sequence.
We observe that the given sequence has the recurrence relation ...

This can be rearranged to ...

We can formulate this in terms of a(x) as follows, then solve for a(x).

The generating function is ...
a(x) = 1/(1+2x)
This is already written with positive exponent
Start with an equation.
Nine less... so -9
3 times a number = 3x
Greater than 40 is >40
So put together is 3x-9>40
When solving I imaging the greater than sign as an equal sign. Less confusing.
3x-9=40
3x=49
x>49/3