Answer:
The equation of the line AB is y - x -4 = 0
Step-by-step explanation:
The points are A (10,14) and B(2,6)
Now, slope of the line AB : 
or,
=
So, slope of the equation AB = 1
Now, by SLOPE INTERCEPT FORM:
The equation of line is given as : y - y0 = m (x-x0)
So,the equation of line AB is y - 6 = 1(x-2)
or, y - 6 -x + 2 = 0
or, y - x -4 = 0
Hence, the equation of the line AB is y - x -4 = 0
He is 2√19 miles far way from starting point.
Suppose Billy starts at point A, turns at point B, and ends at point D, as shown below.
If Billy turns 60◦ northward and walks six miles, then we can draw a 30 − 60 − 90 triangle whose hypotenuse is 6 miles
It follows that Billy traveled 6/2 = 3 miles eastward during these 6 miles, and that he traveled 3√3 miles northward during these 6 miles. In total, Billy traveled 4 + 3 = 7 miles eastward and 3√ 3 miles northward.
By the Pythagorean Theorem, the distance from his starting point is q:
(7)2 + (3√3)2
=√49 + 27
= √76
= 2√19 .
Learn more about Pythagorean Theorem on:
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Answer:
90π units²
Step-by-step explanation:
(refer to attached)
Total Surface are off a right cylinder = area of its ends + area of curved surface
Given radius, r = 3 units and height, h = 12 units
Area of 2 ends,
= Area of 2 circles
= 2 x πr²
= 2π (3²)
= 2π (9)
=18π units²
Area of curved surface,
= 2πrh
= 2π(3)(12)
= 72π units²
Hence,
Surface area = 18π + 72π = 90π units²