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2 years ago

Determine another point on the line given two points on the line. (0,5), (4,1)

Mathematics

2 answers:

labwork [276]2 years ago

7 0

Answer:

(2,3)

Step-by-step explanation:

I did this on a graphing calculator

kumpel [21]2 years ago

5 0

Answer:

(3,2)

Step-by-step explanation:

If you take y2 and y1, subtract them, then x2 and y1 and subtract them you will get your slope.

1-5=-4

4-0=4

Divide -4/4 and you will get -1.

-1 is your slope so if you graph the two dots and use -1 in both directions, vertically and horizontally on the line you can use any of those points. I got (3,2) by going left then up 1 to (4,1).

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What is 77/200 as a decimal/mixed number

Natasha_Volkova [10]

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3 years ago

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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2 years ago

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marusya05 [52]

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1 year ago

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Harman [31]

Answer:

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Step-by-step explanation:

4 0

2 years ago

Which one is this please answer it and get thanks from me if ur right

mote1985 [20]

♡ The Question ♡

- Which of the following is equivalent to the power shown below? 8^4

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☆ The Answer ☆

- Your answer should be C!

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♡ The Explanation/Step-By-Step ♡

- When your power is being shown as 8^4, this can be represented as 'Eight four times.' This means it could be, 8, 8, 8, 8. Hope this helps!

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☆ Tips ☆

- No tips provided!

4 0

1 year ago