Mathematics, 18.10.2019 19:50 habsofarah0

If the signs of the coordinates of collinear points p(-6,-2), q(-5,2), and r (-4,6) reversed, are the 3 new points still collinear?

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Answer from: cicimarie2018

The new points also collinear.

Step-by-step explanation:

The given points are P(-6,-2), Q(-5,2), and R (-4,6) are collinear.

If three point are collinear, then

x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)=0

If the signs of the coordinates of collinear points P(-6,-2), Q(-5,2), and R (-4,6) reversed, then the new coordinates are P'(6,2), Q'(5,-2), and R'(4,-6)

Using the formula, check whether the new points are collinear or not.

6(-2-(-6))+5(-6-2)+4(2-(-2))=0

6(-2+6)+5(-8)+4(2+2)=0

6(4)+5(-8)+4(4)=0

24-40+16=0

0=0

Since LHS=RHS, therefore the new points are collinear.

Answer from: Quest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

Answer from: Quest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

$ab^2+ac^2=bc^2$

$ab^2+ac^2=x^2$ )

triangle abd and cba are similar,

$\frac{ab}{bc}=\frac{bd}{ab}$

$ab^2=bc\cdot bd$

$25=bc\cdot bd$ (2)

triangle cad and cba are similar,

$\frac{ac}{bc}=\frac{cd}{ac}$

$ac^2=bc\cdot dc$

$7\times 7=bc\cdot dc$

$49=bc\cdot dc$ )

using (1), (2) and (3), we get

$25+49=x^2$

$74=x^2$

hence proved.

therefore option 2 is correct.

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