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:
B.
Step-by-step explanation:
Domain is the x-coordinate and the range is the y-coordinate.
B. Domain: {7}
Range: {-4, -2, 1, 4, 6}
The second is Yes
Sixth is Yes
First is No
Fourth is No
Fifth is No
Third is Not Enough Info
And last x=11
3/8 cups of oil
Step by step explanation:
Given : A recipe requires 1/4 cup of oil for every 2/3 cup of water.
To Find: How much oil (in cups) is needed per cup of water?
Solution:
Oil required by 2/3 cup of water = 1/4
Oil required by 1 cup of water = 1/4
= 2/3
= 3/8
Hence cups of oil is needed for per cup of water.
