Answer:
:I
Step-by-step explanation:
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°
Step-by-step explanation:
Money = Rs 1800
Ratio = 2:3:4
1st Person = 2x
2nd Person = 3x
3rd Person = 4x
X = ?
2x + 3x + 4x = 1800
9x = 1800
X = 200
1st Person = 2x = 2×200 = <u>Rs 400</u>
2nd Person = 3x = 3×200 = <u>Rs 600</u>
3rd Person = 4x = 4×200 = <u>Rs 800</u>
Answer:
y=5x+25
y=5(12)+25
y=85
Step-by-step explanation:
Add 4 to both sides
x - 4 < -3
x-4+4 < -3+4
x < 1
To graph this on a number line, plot an open circle at 1 on the number line. Do not fill in the open circle. Shade to the left of the open circle. The shaded region represents all x values smaller than 1.
The graph is shown below.
