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Taya2010 [7]
3 years ago
8

Give the center, radius, and equation of the circle in the graph.

Mathematics
1 answer:
dexar [7]3 years ago
3 0

Answer:

(x-2)^2+(y+3)^2=4

Step-by-step explanation:

  • A circle's equation consist on the following expression: (x-a)^2+(y-b)^2=r^2, where r is the magnitude of the radio, and (a,b) are the coordenates of the center of the circle.
  • In this case, a=2 and b= - 3, because the circle is centered in (x,y)=(2, - 3).
  • The radio, which is the distance between the center of the radio to any point in its border, equals r=2 (because of the scale of the graphic, in this case two squares of the grid equal 2 units, then r=2).
  • Finally, using the previous information to replace in the equation (x-2)^2+(y+3)^2=4, where the fact that r=2 and 2^2=4 was used.
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A pound of sand will spread over four square feet. How many pounds of sand would be needed to cover a sandbox that has a width o
Tju [1.3M]
20 pounds of sand will be required to cover a sandbox with a W of 8 and a L or 10.

To solve this question, first we calculate the area of the sandbox (A=LW)(8*10=80). If our sandbox requires 80 square feet of sand, then all we need to do is divide our area by the amount of square feet one pound of sand covers. (80/4=20). This means that it would require 20 pounds of sand to cover our 80 square foot sandbox.
4 0
3 years ago
Which is wider 8 mm or 5/16 in.?
Usimov [2.4K]
They are about the same length. 8 mm is 0.314961 inches. 5/16 inches in decimal form is 0.3125 inches.
3 0
2 years ago
In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?
Svetach [21]

Answer:

PR5T represents <em>6754.</em>

P = 6

R = 7

T = 4

Y = 5

Step-by-step explanation:

Let us try to understand the subtraction starting from the unit's digit.

   P R 5 T

-  4 7 Y 6

-----------------

    1 9 9 8

To get 8, 6 should be subtracted from 14

14 - 6 = 8

So, T should be equal unit digit of 14 <em>i.e.</em> T = 4 and 1 should be carried over from the ten's digit of PR5T.

Now, let us move to ten's digit:

   P R 5 4

-  4 7 Y 6

-----------------

    1 9 9 8

To get 9, 6 should be subtracted from 15. But 1 is already carried to unit's place So, we have actually 14 here

14 - Y = 9

So, Y = 5

Moving to hundred's place:

R - carry - 7 = 9

Carry is 1, so R = unit's place of 9 + 8 i.e. R = 7

Moving to thousand's place:

P - carry - 4 = 1

Here carry is 1

So, P = 1 + 4 + 1 = 6

So, the number PR5T is <em>6754.</em>

5 0
3 years ago
JIMMMMMM
Vitek1552 [10]
>= means greater than or equal to
<= means less than or equal to

---------------------------------------------

Part A

The graph of y >= -3x+3 will have a solid boundary line and the shading will be above the boundary line.

The boundary line y = -3x+3 has a negative slope so it moves down as you read it from left to right. It goes through the points (0,3) and (1,0)

--------------

The graph of y < (3/2)x - 6 will have a dashed or dotted boundary line. The shading is below the boundary.

The graph y = (3/2)x-6 goes through the two points (0,-6) and (2,-3)

--------------

If you graph both y >= -3x+3 and y < (3/2)x - 6 together, you get what you see in the attached image. This solution shaded region is the result of the overlapping prior shaded regions. 

---------------------------------------------

Part B

Plug (x,y) = (-6,3) into each inequality to see if we get a true inequality or not

For the first inequality we have
y >= -3x+3
3 >= -3*(-6)+3
3 >= 18+3
3 >= 21
which is false. The value 3 is not larger or equal to 21. So right off the bat we know that (-6,3) is NOT a solution. It is NOT in the solution region.

Let's check the other inequality just for the sake of completeness
y < (3/2)x - 6
3 < (3/2)*(-6) - 6
3 < -9 - 6
3 < -15
this is also false. The value -15 is smaller than 3, since it is to the left of 3

We're given more evidence that (-6,3) is NOT in the solution area. It is outside of both shaded areas. 

7 0
3 years ago
Read 2 more answers
How do I complete this formal check?
natima [27]

Answer:

Step-by-step explanation:

The first two steps are for the purpose of eliminating fractions.  Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.

Perform the indicated multiplication, obtaining:

8x - 20 = 9x - 18.

Then combine like terms:  -2 = x, or

x = -2.

To complete the formal check, substitute -2 for x in the first equation.  This results in:

(1/3)(-4 - 5) = (3/4)(-2 -2), or

        -3       =        -3

... which is obviously true.  

8 0
3 years ago
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