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:
Step-by-step explanation:
If (x + 2) is a factor of a polynomial then ( - 2 ) is the zero of that polynomial ⇒ ( - 2 )³ + 2( - 2 )² + 2( - 2 ) + k = 0 ⇒ k = - 4
The length and width of the new scale drawing is 36 inches and 24 inches respectively.
The given parameters:
- <em>Original scale of the soccer field, 1 inch : 12 yards</em>
The original length and width of the soccer field is calculated as follows;
1 inch : 12 yards
- original width = 6 x 12 yards = 72 yards
- original length = 9 x 12 = 108 yards
For the new scale of 1 inch : 3 yards, the new length and width are represented as;
<em>the </em><em>new width</em><em>:</em>
<em>the </em><em>new length</em><em>:</em>
Thus, the length and width of the new scale drawing is 36 inches and 24 inches respectively.
Learn more about scale drawing here:
Answer:
Step-by-step explanation:
I hope I helped you^_^
Domain: (-1, 5)
Range: (-1, 3)
Explanation:
The domain covers the lowest and highest x value. You take the lowest number for the x and the highest number and that’s your domain. The range is covering y values, so you look at the lowest and highest point on your graph
