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Deffense [45]
3 years ago
10

Fill in the blanks. # 3, 4, and 5

Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0

Answer:i dont know

Step-by-step explanation:

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Given: -1/2x>6. Choose the solution set
Step2247 [10]

Answer:

B

Step-by-step explanation:

multiply both sides by 2 to eliminate the fraction

- x > 12

multiply both sides by - 1

Remembering to reverse the inequality symbol as a consequence

x < - 12 ← reverse symbol

⇒ { x | x ∈ R, x < - 12 } → B


5 0
3 years ago
Read 2 more answers
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
Graph each circle given below right the center and the radius of each circle
Paraphin [41]

Answer:

Center: (-1,8)

Radius: 1

The graph is attached.

Step-by-step explanation:

The equation of the circle has the form:

(x -h)^{2}+(y-k)^{2}=r^{2}

Where (h,k) is the  point of the center of the circle and r is the radius of the circle.

The equation given in the problem is

(x +1)^{2}+(y-8)^{2}=1

 Therefore:

h=-1

k=8

 Then, the center is (-1,8) and radius is 1.

You can graph the circle with its center at the (-1,8) and a radius of 1 as you can see in the figure attached.

4 0
3 years ago
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Father cn go in 8 1/2 an hour.if he travel an average speed of 15 kilometer an hour?
Eva8 [605]
What I'm sorry can you time it better

6 0
3 years ago
How do you solve a question like this?
chubhunter [2.5K]
4x-4=2x+10\\&#10;2x=14\\&#10;x=7
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3 years ago
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