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°
Hi!
<em>Plug in </em>
for 
<em>Multiply </em>
<em>and </em>
<em>Add </em>
<em>and </em>
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Betty's percentage is 15%.
The rate of change is the amount it changes for every missing assignment, therefore it would be -5.
Answer:
-81t^2 +16
Step-by-step explanation:
(9t-4)(-9t-4)
FOIL
first: -9t*9t = -81t^2
outer : -4*9t = -36t
inner : -4 *-9t = 46t
last = -4*-4 = 16
Add them together
-81t^2 -36t+36t+16
-81t^2 +16
Answer:
C. 50
Step-by-step explanation:
The triangles are proportional and that is why you can find the scale factor. Set up a proportion (equivalent fractions). Set the proportion up with the corresponding sides together on thee top or the bottom of the proportion.
<u>65 </u> = <u> 91</u>
x 70
91x = 65 * 70
<u>91x</u> = <u>4550</u>
91 91
x = 50
