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Talja [164]
3 years ago
8

What is the equation of the circle with center (1, -1) that passes through the point (5, 7)?

Mathematics
1 answer:
Inessa [10]3 years ago
5 0

Answer:

Equation of the circle =

80 = ( x - 1)^2 + (y + 1)^2

Step-by-step explanation:

Center = (1 , -1)

Point = ( 5 , 7)

Eqn of a circle is

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

We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r

Using the center (1, -1)

h - 1

k - -1

r^2 = (x - 1)^2 + ( y - -1)^2

r^2 = (x - 1)^2 + (y + 1)^2

With the point ( 5,7)

x = 5

y = 7

r^2 = ( 5 - 1)^2 + ( 7 + 1)^2

= 4^2 + 8^2

= 16 + 64

= 80

r^2 = 80

r = square root of 80

r = 8.94

The r = 8.94 , which means the equation of the circle is

80 = (x - 1)^2 + ( y + 1)^2

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Answer:

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Step-by-step explanation:

<em>Insert/Substitute the number given in for n.</em>

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8 0
3 years ago
Robin purchased a $160,000 182-day T-bill discounted to yield 1.96%. When he sold it 45 days later, yields had dropped to 1.82%.
Sav [38]

The amount earned by Robin is $224

  • Given the cost of 182-day T-bill = $160,000

If Robin is discounted to yield 1.96%, the amount yield is expressed as:

The yield of 1.96% = 1.96% of 160000

The yield of 1.96% = 0.0196 * 160000

The yield of 1.96% = $3136

Similarly, if the yield is dropped to 1.82%

The yield of 1.82% = 1.82% of 160000

The yield of 1.82% = 0.0182 * 160000

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Learn more on discounts here: brainly.com/question/17745353

6 0
2 years ago
What is the equation for a line that passes through the points (5,-4) and (-10,17
maria [59]

Answer:

The equation of the line is 7 x +5 y = 15.

Step-by-step explanation:

Here the given points are ( 5, -4) & ( -10, 17) -

Equation of a line whose points are given such that

( x_{1},y_{1} ) & ( x_{2}, y_{2}  )-

 y - y_{1}   = \frac{y_{2} - y_{1}  }{x_{2} - x_{1}}  ( x - x_{1}  )

i.e.  <em>y - (-4)= \frac{17 - (-4)}{-10 - 5}  ( x- 5)</em>

<em>      y + 4 = \frac{17 + 4}{ -15} ( x - 5)</em>

<em>      y + 4 = \frac{21}{-15}  ( x - 5 )</em>

<em>      ( y + 4)  =  \frac{7}{- 5} ( x - 5)</em>

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<em>      5 y + 20 = -7 x + 35</em>

<em>      7 x + 5 y = 15</em>

Hence the equation of the required line whose passes trough the points ( 5, -4) & ( -10, 17)  is 7 x + 5 y = 15.

7 0
3 years ago
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