Question

question 17 on a number line, point s is located at – 3 and point t is located at 9 . what is the location of point r on s t given that the ratio of s r to r t is 3 : 4 ?

Answer 1

The location of R on the number line will be 15/7.

Number line:

Number line is used for the visual representation of numbers on a straight line.

Basically, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.

Given,

On a number line,

point S is located at – 3 and

point T is located at 9.

Ratio of S and T = 3:4

We need to find the location of point R on S and T.

According to the given details,

The distance from S to T

=> 3 + 9 = 12

Through this we know that,

=> SR + RT = 12 ---------------------(1)

Based on the ratio,

S/T = 3/4

Which is similar to,

SR/RT = 3/4

So,

SR = 3/4 RT -----------(2)

Apply the value of SR on equation (1),

Then

3/4RT + RT = 12

=> 7/4 RT = 12

=> RT = 12 x (4/7)

=> RT = 48/7

Now the location of point R,

=> OT - RT = 9 - 48/7

=> 15/7

Hence "The location of R on the number line will be 15/7".

To know more about Number line Here

brainly.com/question/13425491

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