In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to
tan θ =m, where m is the slope of the equation
In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.
<span>y-2x=7
y = 2x+7
dy/dx = 2 =m
So,
tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
Answer:
C. (1, 1, 2)
Step-by-step explanation:
Well plugging them in one by one.
x + y - z = 0
-1 + 2 - 4 = 0
no.... no it doesn't equal 0 so it isn't the solution
-1 + 0 - 2 = 0
nope it doesn't equal 0 so it's also not the solution
1 + 1 - 2 = 0
Yes! this could equal the solution so lets keep going down the line
3x - y + z = 4
(3*1) -1 + 2 = 4
Yes! this also is correct
I could keep talking and talking but yes, (1, 1, 2) is your answer
Hope this helps! <3
38773 - 14056 = 24717
24717 + 14056 = 38773
About 348 hours. Hope this helps you out!
The graph of the linear equation can be seen in the image below.
<h3>
How to complete the table?</h3>
Here we have the linear equation:
y = -4x + 8
And we want to find 3 ordered pairs, to do so, we need to evaluate x in different values.
if x = 0 then:
y = -4*0 + 8 = 8
So we have the ordered pair (0, 8).
if x = 1 then:
y = -4*1 + 8 = 4
Then we have the ordered pair (1, 4)
If x = 2 then:
y = -4*2 + 8 = 0
Then we have the ordered pair (2, 0).
Now that we have these 3 ordered pairs, we can graph them in a coordinate axis and then connect them with a line, we will get something like the graph below.
That is the graph of our linear equation:
If you want to learn more about linear equations:
brainly.com/question/1884491
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