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2 years ago

Given thatP(5,4) Q(8,10) and R (X,18) are collinear. Find X

Mathematics

2 answers:

aleksley [76]2 years ago

8 0

Answer:

x = 12.

Step-by-step explanation:

If P(5,4),Q(8,10) and R(x,18) are collinear

then the slope of PQ equals the slope of QR

hence:

(10 - 4)/(8 - 5) = (18 - 10)/(x - 8)

6/3= 8/(x - 8)

2 = 8/(x - 8)

multiplying both sides by (x - 8) gives:

2(x - 8) = 8

2x - 16 = 8

2x = 8 + 16 = 24

hence x = 12

natali 33 [55]2 years ago

8 0

Step-by-step explanation:

here,

P(5,4),Q(8,10) and R(X,18) are collinear so,

slope of PQ=slope of QR

or,(y2-y1)/(x2-x1)=(y2-y1)/(x2-x1)

or,(10-4)/(8-5)=(18-10)/(X-8)

or,2=8/(X-8)

or,2(X-8)=8

or,2X=8+16

or,X=12

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Step-by-step explanation:

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