If the ordered pairs graphed are all equivalent ratios, what ordered pair is missing?
2 answers:
Answer:
D (4,6)
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
<em>If the ordered pairs graphed are all equivalent ratios, what ordered pair is missing? </em>
<em>A) (3,4) </em>
<em>B) (3,6) </em>
<em>C) (4,4) </em>
<em>D) (4,6)</em>
My answer:
The given points in the graph are:
- (2,3)
- (6,9)
- (8,12)
All of them have the same ratio: x : y = 2: 3
So Only answer D (4,6) has that ratio between their coordinates. We choose D.
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Answer:
<em>The equation of the circle (x +1) )² +(y-(2))² = (2(√5))²</em>
<em> or </em>
<em>The equation of the circle x² + 2 x + y² - 4 y = 15</em>
<u>Step-by-step explanation:</u>
Given points end Points are p(-3,-2) and q( 1,6)
<em>The distance of two points formula</em>
P Q =
P Q =
P Q =
<em>The diameter 'd' = 2 r</em>
2 r = √80
=
=
<em> r = 2√5</em>
<em>Mid-point of two end points </em>
<em> </em><em></em>
<em> = (-1 ,2)</em>
<em>Mid-point of two end points = center of the circle</em>
<em> (h,k) = (-1 , 2)</em>
The equation of the circle
(x -h )² +(y-k)² = r²
<em> (x -(-1) )² +(y-(2))² = (2(√5))²</em>
<em> x² + 2 x + 1 + y² - 4 y + 4 = 20</em>
<em> x² + 2 x + y² - 4 y = 20 -5</em>
<em> x² + 2 x + y² - 4 y = 15</em>
<u><em>Final answer</em></u><em>:-</em>
<em>The equation of the circle (x +1) )² +(y-(2))² = (2(√5))²</em>
<em> or </em>
<em>The equation of the circle x² + 2 x + y² - 4 y = 15</em>
<em> </em>