Asked by alyssa
A map shows a main gas pipeline running straight from A(45,60) to B(65,40)
a) Is the point C(63,54) on the branch pipeline? Explain your reasoning
b) What is the shortest route for connecting point C to the main pipeline.Explain
**OMGGGG PLZZZ HELPPP, THANK YOUUUUUU!!!!!!!!!!!
a) Is the point C(63,54) on the branch pipeline? Explain your reasoning
b) What is the shortest route for connecting point C to the main pipeline.Explain
**OMGGGG PLZZZ HELPPP, THANK YOUUUUUU!!!!!!!!!!!
Answers
Answered by
MathMate
The equation of a line passing two given points P1(x1,y1) and P2(x2,y2) is:
(y-y1)/(y2-y1) = (x-x1)/(x2-x1)
Substitute the coordinates of the two given points and simplify to find the formula of the line, L1.
(hint: The equation I get is Ax+By+C=0 where C is -105)
a.
Substitute the value of x of the third point (P3) into L1 and see if the corresponding value of y equals the y-coordinate of P3.
b.
The distance of the point P3(x3,y3) from a line Ax+By+C=0 is given by
|Ax+By+C|/sqrt(A²+B²)
I get about 8.5.
(y-y1)/(y2-y1) = (x-x1)/(x2-x1)
Substitute the coordinates of the two given points and simplify to find the formula of the line, L1.
(hint: The equation I get is Ax+By+C=0 where C is -105)
a.
Substitute the value of x of the third point (P3) into L1 and see if the corresponding value of y equals the y-coordinate of P3.
b.
The distance of the point P3(x3,y3) from a line Ax+By+C=0 is given by
|Ax+By+C|/sqrt(A²+B²)
I get about 8.5.
Answered by
Anonymous
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