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kap26 [50]
2 years ago
9

The endpoints of a diameter of a circle are (2, 4) and (-4, 7).

Mathematics
1 answer:
Levart [38]2 years ago
4 0

Answer:

(x+1)²+(y-5.5)²=45/4.

Step-by-step explanation:

1)  the common form of the required equation is: (x-a)²+(y-b)²=r², where 'a' and 'b' are the coordinates of the centre of the given circle, r - radius of the given circle.

2) the midpoint of the diameter is the centre of the given circle, its coordinates are:

\frac{2-4}{2}=-1; \ and \ \frac{4+7}{2}=5.5.

3) the length of the radius of the given circle is:

r=\frac{1}{2}*\sqrt{(2+4)^2+(4-7)^2)}=\sqrt{\frac{45}{4}}.

4) according to the common form and calculated the centre O(-1;5.5) and the radius it is possible to make up the required equation of the circle:

(x+1)^2+(y-5.5)^2=\frac{45}{4}.

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Natalija [7]

Answer:

y = -2x + 8

Step-by-step explanation:

(−6, 20) and (0, 8)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

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Simplify the fraction.

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This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

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To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 8). Plug in the x and y values into the x and y of the standard equation.

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To find b, multiply the slope and the input of x(0)

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Check this by plugging in the other point you have not checked yet (-6, 20).

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