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3 years ago

Help please due sooonnnnnn

Mathematics

1 answer:

anastassius [24]3 years ago

5 0

Answer:

A i believe

Step-by-step explanation:

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Find the coordinates of the circumcenter of △PQR with vertices P(−2,5), Q(4,1), and R(−2,−3).

mel-nik [20]

Answer: (1/3,2)

Step-by-step explanation:

Let O(x,y) be the circumference of the triangle PQR,

Thus, by the property of circumcenter all the vertices of the triangle are at same distance from this circumcenter.

Thus, PO = QO

By the distance formula,

$(x+2)^2+(y-5)^2 = (x-4)^2+(y-1)^2$

$\impliesx^2+ 4x + 4 + y^2+ 25 - 10 y = x^2+16 - 8 x + y^2+1 - 2y$

$\implies 4x + 4 + 25 - 10 y = 16 - 8 x + 1 - 2y$

$\implies 4x +8x-10y+2y = 16 + 1 -25-4$

$\implies 12x - 8y = 17 - 29$

$\implies 12 x - 8 y = - 12$ ---------(1)

Similarly, QO = RO

$\implies (x-4)^2 + (y-1)^2 = (x+2)^2+(y+3)^2$

$\implies x^2 + 16 - 8x + y^2+ 1 - 2y = x^2+ 4 + 4 x +y^2+ 9 + 6 y$

$\implies 16 - 8x + 1 - 2y = 4 + 4 x + 9 + 6 y$

$\implies - 8x -4x-2y-6y=4+9-16-1$

$\implies -12 x - 8 y = 13 - 17$

$\implies 12 x + 8 y = 4$ ------------(2)

By adding equation (1) and (2),

24 x = - 8

x = 1/3

By putting this value in equation (1),

We get,

Thus, 4 - 8 y = -12

8 y = 16

y = 2

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3 years ago

Mark has $1,700 to buy a new computer. The computer he wants is on sale for $1,475. How much would he save if he bought the comp

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Answer:

the answer to the question would be c.

1700-1475=225

Step-by-step explanation:

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3 years ago

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Can you answer this

Burka [1]

Answer is 2x^+3x-3 with reminder 4

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3 years ago

Which equation does not define a function?

stira [4]

The first relation gives two y-values for any given x-value (except x=6).

y² +x = 6 . . . . . is not a function

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3 years ago

For his long distance phone service, Juan pays a $5 monthly fee plus 9 cents per minute. Last month, Juan's long distance bill w

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Answer:

80 or 81 minutes

Step-by-step explanation:

12.28-5 =7.28 7.28/.09= 80.88

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