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Mars2501 [29]
3 years ago
12

Arrange from least to greatest

Mathematics
1 answer:
inessss [21]3 years ago
6 0

Answer:

1/10, 1/3, 2/5, 1/2, 5/8, 3/4

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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

7 0
3 years ago
Help needed ASAP will give you BRAINLIEST and 5 stars
ASHA 777 [7]

Answer

Seasons.

Step-by-step explanation:

When the earth revolves around the sun it moves to different spots near the sun. This causes weather to change and the seasons.

7 0
3 years ago
Read 2 more answers
Y=-5x+3 in standard form
vazorg [7]
Standard form =
ax + by = c

y = -5x + 3
Add 5x to both sides.

5x + y = 3
And this is your answer.
6 0
3 years ago
Ten times the sum of negative four and a number. Write as an Algebraic expression then simplify
Tju [1.3M]

Answer:

10x(-4+a)

explanation

4 0
3 years ago
a tap can fill a bucket in 2 minutes, another in 3 minutes. If both are turned on how long does it take to fill the bucket?
Rama09 [41]

Answer:

It takes 1 minute 12 seconds to fill the bucket if both taps are turned on.

Step-by-step explanation:

  1. One tap fills the bucket in 2 minutes, thus fills 1/2 of the bucket in one minute.
  2. Other tap fills the bucket in 3 minutes, thus fills 1/3 of the bucket in one minute.
  3. Both together fill 1/2+1/3=5/6 of the bucket in one minute.
  4. If they can fill 5/6 of the bucket in 1 minute, they fill 1/6 of the bucket in 1/5 minute.
  5. They can fill the bucket (6/6) in 1+1/5 minute
  6. This is 1 minute 12 seconds
6 0
3 years ago
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