If f(x)=4x+5 and the domain of f is (2,6,10) what is the range of f(x)?

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Ответ:

justloveyuki9667

07.03.2023

Mathematics

Given:

A point Q on a segment with endpoints A(2, −1) and C(4, 2) partitions the segment in a 3:1 ratio.

To find:

The coordinates of point Q.

Solution:

Section formula: If a point divide a line segment in m:n, then

$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Point Q on a segment with endpoints A(2, −1) and C(4, 2) partitions the segment in a 3:1 ratio. So, using section formula, we get

$Q=\left(\dfrac{3(4)+1(2)}{3+1},\dfrac{3(2)+1(-1)}{3+1}\right)$

$Q=\left(\dfrac{12+2}{4},\dfrac{6-1}{4}\right)$

$Q=\left(\dfrac{14}{4},\dfrac{5}{4}\right)$

$Q=\left(\dfrac{7}{2},\dfrac{5}{4}\right)$

Therefore, the coordinates of point Q are $\left(\dfrac{7}{2},\dfrac{5}{4}\right)$ .

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