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3 years ago

Find the distance between the points ( 19 , 16 ) and ( − 13, 10 )

Mathematics

1 answer:

Inessa [10]3 years ago

7 0

Answer:

$\sqrt{1060}=32.55..... or 32.6$

Step-by-step explanation:

$\sqrt{(-13-19)^2+(10-16)^2}$

$\sqrt{(-32)^2+(-6)^2}$

$\sqrt{1024+36}$

$\sqrt{1060}=32.55..... or 32.6$

hope this helps

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2 years ago

Contains the x intercept of 4x-y=8 and the point (-4,3)

nydimaria [60]

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3 years ago

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2 years ago

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2 years ago

What is the y-coordinate of the point that divides the directed

e-lub [12.9K]

Answer:

(D)5

Step-by-step explanation:

Given the point J(-3,1) and K(8,11).

The line segment that divides the segment from J to K in any given ratio can be determined using the formula.

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

In the given case:

$(x_1,y_1)=(-3,1), (x_2,y_2)=(8,11)$ , m:n=2:3

Since we are to determine the y-coordinate of the point that divides JK into a ratio of 2:3, we have:

$\dfrac{my_2+ny_1}{m+n}=\dfrac{2*11+3*1}{3+2}\\\\=\dfrac{22+3}{5}\\\\=\dfrac{25}{5}\\\\=5$

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3 is 5.

The correct option is D.

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2 years ago