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kirill115 [55]
4 years ago
9

1)Given: AB = 4 AD = 6

Mathematics
1 answer:
Vaselesa [24]4 years ago
5 0
<span>1)Given: AB = 4 AD = 6
What is the name of the radius of the larger circle?
the answer part 1) is 
the radius </span>of the larger circle is AD

<span>2)Given: AB = 4 AD = 6
What point is in the interior of both circles?
the answer Part 2) is 
The point A  (the center of the circles)

</span><span>3) Given: AB = 4 AD = 6
Which points are in the exterior of both circles?</span><span>
the answer Part 3) is
</span><span>E and G

</span><span>4)The circles are _____.
</span><span>the answer Part 4) is
</span><span>concentric
</span>
<span>5)If AC = 20 and BD = 8, what is the radius of the smaller circle?
</span>we know that
radius smaller circle=AB
and
AB=AC-BD--------> AC=20-12-------> AC=8 units

the answer part 5) is
the radius of the smaller circle is 12 units

<span>6)Given: AB = 4 AD= 6
What is the length of BD?</span>
we know that
AD=AB+BD
solve for BD
BD=AD-AB--------> BD=6-4-----> BD=2 units

the answer Part 6) is
the length of BD is 2

<span>7)Given: AB = 4 AD = 6
What is the name of the radius of the smaller circle?</span>

the answer Part 7) is 
the name of the radius of the smaller circle is AB
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What are the coordinates (x, y) at which the graphs of 2x + 3y = 12 and 2x - y = 4 intersect?
Jobisdone [24]

  The coordinates (x,y) are (3,2), If the graphs of 2x+3y=12 and 2x-y=4 are intersect.

Step-by-step explanation:

The given is,

                                         2x+3y=12.................................(1)

                                           2x-y=4....................................(2)

Step:1

            The values of x and y are obtained by elimination method,

            Substrate the equation (1) and (2),

                                          2x+3y=12

                                             2x-y=4

             ( - )

             Equation becomes,

                      (2x-2x)+(3y+y)=(12-4)

                                       (0)+(4y)=(8)

                                                   4y=8

                                                     y=\frac{8}{4}

                                                     y=2

            From the equation (1),

                                           2x+3y=12

                                        2x+3(2)=12

                                            2x+6=12

                                                  2x=12-6

                                                   x=\frac{6}{2}

                                                   x=3

Step:2

            Check for solution,

                                          2x-y=4....................................(2)

            Substitute the values of x = 3 and y = 2 in above equation,

                                        2(3)-2=4

                                             6-2=4

                                             4=4

           Both sides are equal, so the x = 3 and y = 2 is correct answer

Result:

          The coordinates (x,y) are (3,2), If the graphs of 2x+3y=12 and 2x-y=4 are intersect.

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