Answer:
I think so, but don't lose sight
What is the length of PR?
1 answer:
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Answer:
y = x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 2 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
The line crosses the y- axis at (0, 1) ⇒ c = 1 , then
y = x + 1 ← equation of perpendicular line
Answer:
Approach 1: Mathematical Approach
Domain is the possible inputs or x values of a function
Here we can use any x values greater than or less than 7. We can also use 7 since their is a a function defined for x greater than or equal to 7.
So the domain is (-♾, ♾).
The range is possible y values. Since we can use negative x values, if we plug in x values for the function -5/7x+1, we are going to get positive numbers, as we plug in higher negative numbers, our range is bigger.
This means the range is bounded to -4 so our range is
(-4,♾)
Approach 2: Graphical Approach
Above is the graph
It can take any x values so the domain is (-♾, ♾).
The range is (-4,♾).
I think the given series is
You can use the integral test because the summand is clearly positive and decreasing. Then
Substitute <em>u</em> = <em>x</em> ³ + 1 and d<em>u</em> = 3<em>x</em> ² d<em>x</em>, so the integral becomes
As <em>u</em> approaches infinity, we have ln(<em>u</em>) also approaching infinity (whereas 1/3 ln(9) is finite), so the integral and hence the sum diverges.