For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1
So we first need to find the slope of the reference line.
m=(y2-y1)/(x2-x1)=(7-2)/(-1--5)=5/4
So the perpendicular line will have a slope of:
5m/4=-1
m=-4/5
So our perpendicular line so far is:
y=-4x/5+b, now we can use point (3,-1) to solve for the y-intercept, "b"
-1=-4(3)/5+b
-1=-12/5+b
-5/5+12/5=b
7/5=b
So the line is:
y=-4x/5+7/5 or more neatly
y=(-4x+7)/5
y=-0.8x+1.4
Answer:
156.37°
Step-by-step explanation:
We solve this above question, using Cosine rule which is given as:
Cos C = a² + b² - c²/2ab
Let the Angle be represented as: x
Cos x = 310² + 200² - 150²/2 × 310 × 200
x = arc cos [ 310² + 200² - 150²/2 × 310 × 200]
x = 23.63°
The angle, in degrees, that he must turn through to head straight for Island B is given as:
180° - 23.63°
= 156.37°
Answer:
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Answer:
Your answer
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Step-by-step explanation:
First, you need to find the trend line that you are going to use before you can answer question 9 and 10.
To do that select 2 points from your list and find the y = mx + b equation.
After you have your equation, all you need to do is plug in the values that you are given for x. Evaluate the expression and you will have your answer.