Mathematics: Apoint t on a segment with endpoints d (1, 4) and f (7, 1) partitions the segment in a 3: 1 ratio. find t. you must show all work to receive credit.

Apoint t on a segment with endpoints d (1, 4) and

Ответ:

DnsMonsteR3462

09.08.2019

$t(5.5,\ 1.75)$ or $t(\frac{11}{2}, \frac{7}{4})$

step-by-step explanation:

if we have a line segment with starting point d(a, b) and end point f(c, d) and we know that point t(h, g) divide the line segment into an x: y ratio, then the coordinates of the t point (h, g) will be:

$h=\frac{xc+ya}{x+y}$ and $g=\frac{xd + yb}{x+y}$

in this case the points are:

d(1, 4) and f(7, 1)

we know that t partitions the segment in a 3: 1 ratio

so: $x=3$ and $y=1$

finally, the coordinates of point t are:

$h=\frac{3*7+1*1}{3+1}=5.5$

$g=\frac{3*1 + 1*4}{3+1}=1.75$

then the point t is: $(5.5,\ 1.75)$ or $(\frac{11}{2}, \frac{7}{4})$

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Apoint t on a segment with endpoints d (1, 4) and f (7, 1) partitions the segment in a 3: 1 ratio. find t. you must show all work to receive credit.

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