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:
1st Question
A. 85
2nd Question
B. 71
Step-by-step explanation:
1st Question
{90 + 94 + 96 + 90} = 370/4 = 92.5
{95 + 99} = 194/2 = 97
{87 + 75 + 82 + 85} = 329/4 = 82.25
{71} = 71/1 = 71
.20(92.5) +.25(97) +.30(82.25) +.25(71) = 85.175 Rounded-up = 85
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2nd Question
.10(95) +.20(80) +.50(67) +.20(60) = 71
Try 1(18) / 2
Just multiply 1 by 18 and divide 18 by 2.
Then we have 9!
Subtract the second equation from double the first equation:
2x+6y-2x-(-4y)=0
10y=0
Therefore, y=0. Substituting this into the first equation, we see that:
x+3(0)=3
x=3
Therefore, x=3. The solution to this system is x=3, y=0, or (3, 0).
The lowest common denominator for 15 and 12 will get in this way
15=3*5
12 = 3*4
LCM will be 3*4*5=12*5=60
