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2 years ago

50 POINTS + BRAINLIEST

Mathematics

2 answers:

mojhsa [17]2 years ago

8 0

Answer:x + 2y = 6

2y = -x + 6

y = -1/2 x + 3 so slope = -1/2

parallel lines has same slope = -1/2

perpendicular lines slope is opposite and reciprocal so slope = 2

if slope not equal either -1/2 or 2 then neither.

y = -1/2 x - 5 ....m= - 1/2.... parallel

-2x + y = -4

y = 2x - 4...m = 2 ....perpendicular

-x + 2y = 2

2y = x + 2

y = 1/2 x + 1 ...m = 1/2 ...neither

x + 2y = -2

2y = -x - 2

y = -1/2 x - 1 ...m = -1/2 .....parallel

Vedmedyk [2.9K]2 years ago

3 0

X + 2y = 6
2y = -x + 6
y = -1/2 x + 3 so slope = -1/2

parallel lines has same slope = -1/2
perpendicular lines slope is opposite and reciprocal so slope = 2
if slope not equal either -1/2 or 2 then neither.

y = -1/2 x - 5 ....m= - 1/2.... parallel

-2x + y = -4
y = 2x - 4...m = 2 ....perpendicular

-x + 2y = 2
2y = x + 2
y = 1/2 x + 1 ...m = 1/2 ...neither

x + 2y = -2
2y = -x - 2
y = -1/2 x - 1 ...m = -1/2 .....parallel

hope it helps

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djverab [1.8K]

The correct answer is: [D]: "17" .
______________________________________________________
The radius is: " 17" .
______________________________________________________
Note:
______________________________________________________
The formula/equation for the graph of a circle is:
______________________________________________________
(x − h)² + (y − k)² = r² ;

in which:

" (h, k) " ; are the coordinate of the point of the center of the circle;

"r" is the length of the "radius" ; for which we want to determine;
_______________________________________________________
We are given the following equation of the graph of a particular circle:
_______________________________________________________

→ (x − 4)² + (y + 12)² = 17² ;

which is in the correct form:

→ " (x − h)² + (y − k)² = r² " ;

in which: " h = 4 " ;

" k = -12" ;

"r = 17 " ; which is the "radius" ; which is our answer.

→ { Note that: "k = NEGATIVE 12" } ;

→ Since the equation for this particular circle contains the expression: _________________________________________________________
→ "...(y + k)² ..." ;

[as opposed to the standard form: "...(y − k)² ..." ] ;
_________________________________________________________
→ And since the coordinates of the center of a circle are represented by:
" (h, k) " ;

→ which are: " (4, -12) " ; (for this particular circle) ;
_________________________________________________________
→ And since: " k = -12 " ; (for this particular circle) ;
_________________________________________________________
then:

" [y − k ] ² = [ y − (k) ] ² = " [ y − (-12) ] ² " ;

= " ( y + 12)² " ;

{NOTE: Since: "subtracting a negative" is the same as "adding a positive" ;

→ So; " [ y − (-12 ] " = " [ y + (⁺ 12) ] " = " (y + 12) "
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Note: The above explanation is relevant to confirm that the equation is, in fact, in "proper form"; to ensure that the: radius, "r" ; is: "17" .
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→ Since: "r = 17 " ;

→ The radius is: " 17 " ;

which is: Answer choice: [D]: "17" .
___________________________________________________

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