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Assoli18 [71]
3 years ago
10

Round each number to the nearest thousand.

Mathematics
1 answer:
masya89 [10]3 years ago
8 0

Answer:

1,000

9,000

1,000

9,000

1,000

8,000

2,000

9,000

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Write the standard form of the equation of the circle with center (7,1) that also contains the point (−1,−5).
Karo-lina-s [1.5K]

Answer:

(x-7)^2+(y-1)^2=100

Step-by-step explanation:

<u>1) Find the radius</u>

We can do this by using the distance equation with the centre (7,1) and the given point (-1,-5):

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} where the two points are (x_1,y_1) and (x_2,y_2)

Plug in the points (7,1) and (-1,-5)

d=\sqrt{(-1-7)^2+(-5-1)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10

Therefore, the radius of the circle is 10 units.

<u>2) Plug the data into the equation of a circle</u>

Equation of a circle (when not centred at the origin):

(x-h)^2+(y-k)^2=r^2 where the centre is (h,k) and r is the radius

Plug in the centre (7,1) as (h,k)

(x-7)^2+(y-1)^2=r^2

Plug in the radius 10

(x-7)^2+(y-1)^2=10^2\\(x-7)^2+(y-1)^2=100

I hope this helps!

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3 years ago
Select the correct answer. What is the inveSelect the correct answer.
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Answer:

x + 3 / 2 = y

Step-by-step explanation:

to change a function to its inverse we need to do three basic things

1. change f(x) to y

so for the example i gave which is f(x) = 2x - 3; this will now be

y = 2x - 3

2. we need to switch the position of the x's and y's, that means x becomes y and y becomes x

x = 2y - 3

3. finally we make y the subject of the formula

x + 3/ 2 = y, this new expression for y is the inverse of the function and can be written as

f^-1(x) = x + 3/2

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4 years ago
At a real estate agency, an agent sold a house for $311,000. The commission rate is 4.6% for the real
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9514 1404 393

Answer:

  • agency: $14,306
  • agent: $3,576.50

Step-by-step explanation:

The agency's commission was ...

  0.046 × $311,000 = $14,306

The agent's commission was ...

  0.25 × $14,306 = $3,576.50

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The agency made $14,306; the agent earned $3,576.50.

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3 years ago
Hello admin? I need help changing my username, if I can.
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The slope-intercept form of the equation of a line that passes through point (–3, 8) is y=-2/3 x+6.What is the point-slope form
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Answer:

Step-by-step explanation:

y - 8 = -2/3(x + 3)

y - 8 = -2/3x - 2

y = -2/3x + 6

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