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:
11) Here given Function,

And, 
For f(x) = g(x)






When we solve this equation,
We found,
x = 12.5227 ≈ 12.53
Thus, the required solution is, x = 12.53
12) Here the height of rocket A in x second,

And, The height gain by the rocket B in x seconds,

If at x seconds both A and B gain the same height,
That is, f(x) = g(x)
⇒ 
⇒
⇒ 
⇒ 
⇒ x = 1.125 ≈ 1.13
Thus, the required solution is x = 1.13 seconds (approx)
Answer:
Donna will have to pay $12.60 for the roast
Step-by-step explanation:
I found this by doing 5.6 × 2.25 and that equals 12.6
pls mark me brainliest
Answer:

Step-by-step explanation:
<u>Take any two points or coordinated from the graph.</u>
Let's take (2,2) and (0,-3)
So,

Hence,
![\sf Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\Slope = \frac{-3-2}{0-2} \\\\Slope = \frac{-5}{-2} \\\\Slope = \frac{5}{2} \\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%20Slope%20%3D%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20%20%5C%5C%5C%5CSlope%20%3D%20%5Cfrac%7B-3-2%7D%7B0-2%7D%20%5C%5C%5C%5CSlope%20%3D%20%5Cfrac%7B-5%7D%7B-2%7D%20%5C%5C%5C%5CSlope%20%3D%20%5Cfrac%7B5%7D%7B2%7D%20%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>