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Anton [14]
3 years ago
6

a worker in a silver mine descends 71 feet. Use an integer to represent the change in the workers position.

Mathematics
1 answer:
alexira [117]3 years ago
6 0

Answer:

iuyhgt

Step-by-step explanation:

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Match the pairs of equations that represent concentric circles. Tiles
Darina [25.2K]
I will explain you and pair two of the equations as an example to you. Then, you must pair the others.

1) Two circles are concentric if they have the same center and different radii.

2) The equation of a circle with center xc, yc, and radius r is:

(x - xc)^2 + (y - yc)^2 = r^2.

So, if you have that equation you can inmediately tell the coordinates of the center and the radius of the circle.

3) You can transform the equations given in your picture to the form (x -xc)^2 + (y -yc)^2 = r2 by completing squares.

Example:

Equation: 3x^2 + 3y^2 + 12x - 6y - 21 = 0

rearrange: 3x^2 + 12x + 3y^2 - 6y = 21

extract common factor 3: 3 (x^2 + 4x) + 3(y^2 -2y) = 3*7

=> (x^2 + 4x) + (y^2 - 2y) = 7

complete squares: (x + 2)^2 - 4 + (y - 1)^2 - 1 = 7

=> (x + 2)^2 + (y - 1)^2 = 12 => center = (-2,1), r = √12.

equation: 4x^2 + 4y^2 + 16x - 8y - 308 = 0

rearrange: 4x^2 + 16x + 4y^2 - 8y = 308

common factor 4: 4 (x^2 + 4x) + 4(y^2 -8y) = 4*77

=> (x^2 + 4x) + (y^2 - 2y) = 77

complete squares: (x + 2)^2  - 4 + (y - 1)^2 - 1 = 77

=> (x + 2)^2 + (y - 1)^2 = 82 => center = (-2,1), r = √82

Therefore, you conclude that these two circumferences have the same center and differet r, so they are concentric.
5 0
3 years ago
G(x)=-2x-9 what is g(-7)
matrenka [14]

Answer:

g(-7)=5

Step-by-step explanation:

-2(-7)-9

14-9=5

6 0
3 years ago
Read 2 more answers
Need help with these 4 questions :’(
IrinaVladis [17]

Answer:

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6 0
3 years ago
Find the missing side for each triangle below
xxTIMURxx [149]

Applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.

<h3>How to Solve a Right Triangle Using Trigonometry Ratio</h3>

The Trigonometry Ratios are:

  • SOH - sin∅ = opp/hyp.
  • CAH - cos∅ = adj/hyp.
  • TOA - tan∅ = opp/adj.

Thus, given:

∅ = 51°

hyp = 3

adj = x

  • Apply, CAH:

cos 51 = x/3

x = (cos 51)(3)

x = 1.9

Thus, applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.

Learn more about Trigonometry Ratio on:

brainly.com/question/4326804

4 0
3 years ago
A line passes through (6, 3), (8, 4), and (n, -2). Find the value of n.
timurjin [86]

Answer:

n = -4

Step-by-step explanation:

Notice how in the previous examples they all divide by 2? It is the same case here. So now the question is... "what" divided by "2" is "-2".

Let me show you:

n ÷ 2 = -2

if you know your integer math, you should know that...

-4 ÷2 = -2 (this is the correct equation)

8 0
1 year ago
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