3 years ago

Helppp pleasee!! If you can answer ASAP I would really appreciate it thank youuu.

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

7 0

Answer:

1. 4/7 = 16/28

Check:

(4/7)(4/4) = 16/28 = 16/28

2. 40/15 = 8/3

Check:

(40/15)/(5/5) = 8/3

3. 15/6 = 5/2

Check:

(15/6)/(3/3) = 5/2

4. 8/11 = 56/77

Check:

(8/11)(7/7) = 56/77

5. 9/2 = 63/14

Check:

(9/2)(7/7) = 63/14

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Answer:

$\overline{QT}$

Step-by-step explanation:

We want to find the coordinates of a certain point C(x,y) such that C divides $A(x_1,y_1)$ and $B(x_2,y_2)$ in the ratio m:n=3:2

The x-coordinate is given by:

$x=\frac{mx_2+nx_1}{m+n}$

The y-coordinate is given by:

$y=\frac{my_2+ny_1}{m+n}$

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We substitute the values to get:

$x=\frac{3*7+2*-5}{3+2}$

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Therefore C has coordinates $(\frac{11}{5},-\frac{3}{5})$

The line segment that contains C is $\overline{QT}$

See attachment.

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