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allochka39001 [22]
3 years ago
11

Find the standard equation of a circle that passes through the point (−1, 1) with center (2, 3).

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0
The equation of a circle is
  (x-h)² + (y-k)² = r²
for center (h, k) and radius r. Of course, the radius can be computed by putting the point in the equation.
  (x-2)² + (y-3)² = (-1-2)² + (1-3)² = 9+4 = 13

The standard equation of the circle is (x-2)² + (y-3)² = 13.

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Solve for x in the equation X2-8x+41 = 0 -
djverab [1.8K]

Answer:

The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )

I.e option D  

Step-by-step explanation:

Given equation as :

x² - 8 x + 41 = 0

For quadratic equation  ax² + b x + c = 0

The value of x = \frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}

∴ For equation x² - 8 x + 41 = 0

Or,                x = \frac{8\pm \sqrt{-8^{2}-4\times 1\times 41}}{2\times 1}

Or,                x = \frac{8\pm \sqrt{-100}}{2}

Or,                x = \frac{8\pm 10i}{2}

∴                  x = ( 4 + 2 i ) , ( 4 - 2 i )

Hence The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )

I.e option D     Answer

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3 years ago
The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness. It takes 198 seconds to
solong [7]

Answer:

198

Step-by-step explanation:

198

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Answer:

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Step-by-step explanation:

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Write the slope-intercept form of the equation of each line
lesya692 [45]

Answer:

1.) y= \frac{1}{6} x + \frac{13}{6}

2.) y = \frac{4}{5} x - 3

3.) y = 3x - 2

4.) y = \frac{13}{7} x - 8

5.) y = \frac{1}{4} x + 4

6.) y = 9x - 1

7.) y = -\frac{1}{2} x - 4

8.) y = -\frac{10}{3} x + 2

9.) y = \frac{7}{8}x - 1

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4 0
3 years ago
Is the answer 4/5 ? Can someone help please ?
Zina [86]

Answer:

m=-\frac{4}{5}

Step-by-step explanation:

We can take 2 arbitrary points in the graph and solve for slope using the formula shown below.

<u>Note:</u> we will use the 2 points (2,-3) & (-3,1)

Where x_1 = 2, y _1 = -3  and  x _ 2 = -3 and y _ 2 = 1

The formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let's plug the numbers and find the slope:

m=\frac{1-(-3)}{-3-2}\\m=\frac{4}{-5}\\m=-\frac{4}{5}

Hence, thsi is the slope.

8 0
3 years ago
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