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schepotkina [342]
3 years ago
8

If a parabola with vertex (−2,1) also contains the point (1,6) which point must also be on the parabola?

Mathematics
1 answer:
zepelin [54]3 years ago
3 0

Answer:

(-5,6)

Step-by-step explanation:

I graphed the points and found that (-5,6) would fall on the parabola.

The equation of the line is y=\frac{5}{9}(x+2)^{2}+1, if you need it.

If this answer is correct, please make me Brainliest!

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Arrange the circles (represented by their equations in general form) in ascending order of their radius lengths. X2 y2 − 2x 2y −
Colt1911 [192]

Circles (represented by their equations in general form) in ascending order of their radius lengths can be arranged as first-fifth-second-forth-third-seventh-sixth.

<h3>What is the equation of circle?</h3>

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

(x-h)^2+(y-k)^2=r^2

Here (h,k) is the center of the circle and (r) is the radius of the circle.

Lets arrange the first equation, in standard form of equation of circle as,

x^2 +y^2 - 2x+ 2y -1 = 0 \\(x^2 - 2x) +(y^2+ 2y )= 1\\(x^2 - 2x+1) +(y^2+ 2y +1)= 1+1+1\\(x-1)^2+(y+1)^2=(\sqrt{3})^2

The radius of this circle is √(3).

Lets arrange the second equation, in standard form of equation of circle as,

x^2 +y^2 - 4x+ 4y - 10 = 0  \\(x^2 - 4x) +(y^2+ 4y )= 10\\(x^2 - 4x+4) +(y^2+ 4y +4)= 10+4+4\\(x-2)^2+(y+2)^2=(\sqrt{18})^2

The radius of this circle is √(18).

Lets arrange the third equation, in standard form of equation of circle as,

x^2 +y^2 - 8x - 6y - 20 = 0   \\(x^2 - 8x) +(y^2-6y )= 20\\(x^2 - 8x+16) +(y^2- 6y +9)= 10+16+9\\(x-4)^2+(y-3)^2=(\sqrt{45})^2

The radius of this circle is √(45).

Similarly, radius of the forth, fifth, sixth and seventh circle is √(23), √(5), √(117) and √(46) units.

Hence, the circles (represented by their equations in general form) in ascending order of their radius lengths can be arranged as first-fifth-second-forth-third-seventh-sixth.

Learn more about the equation of circle here;

brainly.com/question/1506955

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To measure the capacity of a container, you could use : cup, quarts, tablespoons, ounces, gallons and tablespoons. 
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What is 6/7 - 11/35?
algol13

Answer:

19/35

Step-by-step explanation:

6/7 - 11/35

19/35

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1)  <span>x + 24=95

2) 1 / 5x = 10
5x = 10/1
5x = 10
x = 10/5
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Julio bought soccer shoes at a $35% off sale and saved $42. What was the regular price of the shoes?
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Answer:

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X = 100×42/35

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