Mathematics, 20.04.2020 04:19, jacob7542

What are the coordinates of the point on the directed line segment from (3, -1)(3,−1) to (9, 8)(9,8) that partitions the segment into a ratio of 1 to 2?

Answers: 2

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answered: athenawalcroff

Coordinates of the point on the directed line segment is (15/3,7/3)

Step-by-step explanation:

Given:

A line segment with coordinates partition in some ratio.

Lets say that the ends of the segment are A and B.

We have to find the coordinates of C.

Coordinates of point A are = (3,-1)

Coordinates of point B are = (9,8)

Considering the point C as (x,y) and the partition ratios as m:n i.e 1:2

Formula to be used:

Section formula:

$x= \frac{mx_2+n_x_1}{m+n},\ y=\frac{my_2+ny_1}{m+n}$

Using the above formula.

⇒ $x= \frac{mx_2+n_x_1}{m+n},\ y=\frac{my_2+ny_1}{m+n}$

⇒ Plugging the values.

⇒ $x= \frac{1(9)+2(3)}{1+2},\ y=\frac{1(8)+2(-1)}{1+2}$

⇒ $x= \frac{9+6}{3},\ y=\frac{9-2}{3}$

⇒ $x= \frac{15}{3},\ y=\frac{7}{3}$ or

⇒ $x= 5,\ y=2.3$

The coordinates of the point on the directed line segment is (15/3,7/3) in terms of decimals it is (5,2.3).

What are the coordinates of the point on the directed line segment from (3, -1)(3,−1) to (9, 8)(9,8)

answered: Guest

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.

answered: Guest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

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What are the coordinates of the point on the directed line segment from (3, -1)(3,−1) to (9, 8)(9,8)...