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Tems11 [23]
4 years ago
15

Find the points of intersection of the circles x²+y²-15=0 and x²-4x+y²+2y-5=0. Check by graphing the equations.

Mathematics
1 answer:
mote1985 [20]4 years ago
6 0

Answer:

The answer to your question is:

Step-by-step explanation:

Solve by elimination

                                           -  x²  -  y²               + 15   =  0

                                             x²   +y²  - 4x + 2y - 5    =  0

                                             0       0   - 4x + 2y + 10 = 0

Solve it for x                          -4x = -2y - 10 ;     x = 1/2y + 5/2

Substitution

                                    ( 1/2y + 5/2)²+ y² - 15=0                      

                                    (y² + 2y + 25)/4 + y² - 15 = 0

                                     y² + 10y + 25 + 4y² - 60 = 0

                                     5y² + 10y - 35 = 0

Solve the equation

                               y1 = -3.83                y2 = 1.83

                             x1 = (5 - 3.83) /2        x2 = (5 + 1.83) / 2

                             x1 = 0.59                    x2 = 3.42

      Point 1 = (0.59 , -3.83)                     Point 2 ( 3.42, 1.83)

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Find a linear equation whose graph is the straight line with the given property.
jeka57 [31]

Answer:

y = 3/4x - 9/8

Then read explanation and see here with 2 coordinates would make

if 3/4 = -6 then 1 = -8

y = -6x + c

-6 / 3/4  + 9/8 / - 0.5  = -2.25

therefore c = -2.25

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y = -6x - 9/4  and again 9/4 can be found easily if round up fraction decimal to 225/100 and divide by 4

Step-by-step explanation:

C1)    (0.5 , -0.75)

C2)   ( 1. -3.75)

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y + 0.75 = 0.75x - 0.375

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y = 3/4x - 9/8    as common denominators of 1125/1000 is 9/8 as we divide by  125 into the fraction as we start at 250 and check its half just like when finding common denominators we 1/4 the lower number and see if we can find its half or its double etc with the other num er as first step for 3sf numbers.

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Andreas93 [3]

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Answer:

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Step-by-step explanation:

The maximum difference will occur when the smallest 'a' value is subtracted from the largest 'b' value:

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The minimum difference will occur when the largest 'a' value is subtracted from the smallest 'b' value:

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So, the possible range of values of b-a is ...

  3 < b-a < 7

3 0
3 years ago
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Answer:

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Expanded Form:

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Step-by-step explanation:

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