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Dmitry_Shevchenko [17]
3 years ago
7

Given the circle with equation x+ y =17

Mathematics
1 answer:
barxatty [35]3 years ago
8 0

Answer:

Step-by-step explanation:

x+y=17 is NOT the equation for any circle. You have omitted the exponents. The equation for the circle should be

x^2 + y^2 = 17.

:::::

Plug the coordinates of D into the equation.

(-4)² + (-1)² = 17, so D is on the circle.

Plug the coordinates of E into the equation.

1² + 4² = 17, so E is on the circle.

:::::

Slope of DE = (-1 - 4)/(-4 - 1) = 1

Slope of perpendicular to DE is -1.

Midpoint of DE:  ((-4+1)/2, (-1+4)/2) = (-1.5, 1.5)

Point-slope equation for perpendicular bisector:

y-1.5 = -(x+1.5)

y = -x

:::::

Center of circle is (0,0)

0 = -0, so y=-x passes through the center.

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Answer:

  6

Step-by-step explanation:

You will recognize that these points both have the same x-coordinate, so are on the vertical line x=2. The distance between them will be the difference of the y-coordinates:

  6 - 0 = 6

The points are 6 units apart.

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If you like, you can use the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

The values of these parameters are ...

  x1 = 2, y1 = 0

  x2 = 2, y2 = 6

Then the distance is ...

  d = √((2 -2)² +(6 -0)²) = √(0 +36) = 6

The distance between the points is 6 units.

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3 years ago
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Answer:

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4 years ago
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Help me pls and explain
posledela

Answer:

A

Step-by-step explanation:

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3 years ago
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Fittoniya [83]
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Write the equation of the line slope 2, through (3,1)
Arisa [49]

answer:

y = 2x - 5

work:

to write equations, we use the format y = mx + b.

m stands for the slope, and b stands for the y intercept.

this means that you should be able to enter the values for y and x and get a valid equation as a result.

in this equation, we are not given a y intercept value, but we do have a slope and x and y values, so we have to solve by substituting.

so, let's substitute in the values of y and x and the slope,

and solve for b, the y intercept.

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b has a value of -5. let's place this into the equation.

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the slope is 2, and the y intercept is -5, let's plug in our y and x values to verify that this is true.

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so, this equation is correct. hope this helps and have a great day!

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3 years ago
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