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Charra [1.4K]
3 years ago
10

10. What is the equation of the line perpendicular

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
8 0

Answer:

yes

Step-by-step explanation:

divide 2x and 5y by 20

Pani-rosa [81]3 years ago
4 0

Hi ,  

1 step : you must isolate the   "y"  and have a  line in reduce  form.

so  :   A )  2x+5y =20  

               5y =  20-2x

                 5y = -2x+20

                   y =  -2/5 X + 20/5

                   y = -2/5 X +4

Now we must find the equation of the second line.  Let call it  " B"  

The B equation would be a line, and so written in the form of  :  

y = mx +p  

The trick is :    the product of    "m" from "A" and  "m" from b must be  : -1  

let call  "m"  from b :   m(b)

so :   -2/5 * m(b) = -1

                 m(b) = -1 / -2/5  =  -1 *  5/ -2  =   - 5/-2  = 5/2

Now we now that  m(b) is  5/2   and  your   B line  pass through  

by point  :   (10 ; 4)  

so :   5/2 (10) + b = 4

         50/2 + b = 4

          25 +b = 4

             b =  4-25

              b =  -21  

so the equation of  B  is  :   y = 5/2 X -21

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For questions 13 – 15, find x so that q || r. State the converse used.
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Answer:

13. x = 7 ; Converse : Alternate interior angles are equal .

14.  x=12; Converse used : Linear pair

15.  x = 23; Converse: Corresponding angles are equal

Step-by-step explanation:

13.

Refer the attached figure

Given: q || r

\angle CBE =\angle DEB (Alternate interior angles )

So,  15x+3=108

15x=108-3

15x=105

x=\frac{105}{15}

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14.

Refer the attached figure

Given q||r

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Refer the attached figure

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Step-by-step explanation:

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Answer:

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Given : Function f(x) = (x – 8)(x – 2).

To find : What is the vertex of the quadratic function .

Solution : We have given that f(x) = (x – 8)(x – 2).

On removing parenthesis

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We need to find vertex of this function ,

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