Hey need help asap! Can you please find the ending solution to this

A point M on a segment with endpoints X (1, −2) and Y (10, 3) partitions the segment in a 5:1 ratio. Find M. You must show all w

insens350 [35]

The coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).

Given that the end points of line segment are X(1,-2) and Y(10,3) and the ratio in which the line segment is being divided is 5:1.

Line segment is a collection of points which when together joined joins two points on a surface.

The coordinates of point dividing a line segment with end points $(x_{1} ,y_{1} ),(x_{2} ,y_{2} )$ and ratio m:ncan be calculated using the below given formula:

(X,Y)= $(mx_{2} +nx_{1} /m+n,my_{2} +ny_{1} /m+n)$ .

We have to just put the values in the above formula to get the coordinates.

(X,Y)=(5*10+1*1/5+1,5*3-2*1/5+1)

=(50+1/6,15-2/6)

=(51/6,13/6)

=(17/2,13/6)

Hence the coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).

Learn more about line segment at brainly.com/question/2437195

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8 0

2 years ago

An ant can travel at a constant speed of 980 inches every 5 minutes. At this rate, how far can the ant travel in 7 minutes?

Ratling [72]

I think that answer is 1375

Explanation:

980 divided by 5= 196

196x5=980 so

196x7= 1375

Since the the unit rate was 196.

Might be wrong though

8 0

3 years ago

Read 2 more answers

2^-3 x 3^-2<br> 2 to the power of negative 3 times by 3 to the power of negative 2

Ivan

<h3>The value of 2 to the power of negative 3 times by 3 to the power of negative 2 is 0.013889</h3>

<em><u>Solution:</u></em>

<em><u>Given that:</u></em>

$2^{-3} \times 3^{-2}$

We have to find the value of expression

We know that,

$a^{-n} = \frac{1}{a^n}$

Therefore,

$2^{-3} \times 3^{-2} = \frac{1}{2^3} \times \frac{1}{3^2}$

We know that,

$a^2 = a \times a$

Similarly,

$2^{-3} \times 3^{-2} = \frac{1}{2 \times 2 \times 2} \times \frac{1}{3 \times 3}\\\\Simplify\\\\2^{-3} \times 3^{-2} = \frac{1}{8} \times \frac{1}{9}\\\\2^{-3} \times 3^{-2} = \frac{1}{72}\\\\Simplify\\\\2^{-3} \times 3^{-2} = 0.013889$