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Flura [38]
3 years ago
6

Write the ratio as a fraction in simplest form. 5 meters : 20 meters

Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0

Answer:

\frac{1}{4}

Step-by-step explanation:

Given the ratio

5 m : 20 m ← divide both parts by 5

= 1 : 4

= \frac{1}{4} ← as a fraction in simplest form

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Given:

A(16, 4)

B(34, 40)

Line segment AB partition in the ratio 1 : 5.

To find:

The coordinate of a point that partitions AB.

Solution:

Section formula:

$P(x,y)=\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+m y_{1}}{m+n}\right)

Here x_1=16, y_1=4, x_2=34, y_2=40 and m = 1, n = 5

$P(x,y)=\left(\frac{1\times 34+5 \times 16}{1+5}, \frac{1\times 40+5 \times4}{1+5}\right)

$P(x,y)=\left(\frac{ 34+80}{6}, \frac{40+20}{6}\right)

$P(x,y)=\left(\frac{ 114}{6}, \frac{60}{6}\right)

$P(x,y)=(19, 10)

The coordinate of point that partitions the segment AB is (19, 10).

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