Mathematics: Point J(-2, 1) and point K(4, 5) form the line segment jk. for the point p that partitions jk in the ratio 3:7 what is the y coordinate of p

Point J(-2, 1) and point K(4, 5) form the line

mariaramirez110379

18.01.2022

$\frac{11}{5}$

Step-by-step explanation:

Using the section formula

$y_{P}$ = $\frac{3(5)+7(1)}{3+7}$ = $\frac{15+7}{10}$ = $\frac{22}{10}$ = $\frac{11}{5}$

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kyliemorgan8623

30.04.2023

We know that :

$\sf{\bigstar \ \ Cos\theta = \dfrac{Adjacent \ Side}{Hypotenuse}}$

From the figure, We can notice that :

Ф Adjacent side length = 8

Ф Hypotenuse length = 11

$\sf{\implies Cosx^{\circ} = \dfrac{8}{11}}$

$\sf{\implies x^{\circ} = Cos^{-1}\bigg(\dfrac{8}{11}\bigg)}$

$\sf{\implies x^{\circ} = 43.34}$

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