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Licemer1 [7]
3 years ago
9

Geometry is so hard help me!

Mathematics
1 answer:
Kaylis [27]3 years ago
8 0

Answer:

x = 2√5

Step-by-step explanation:

Isosceles right angle triangles have two congruent sides ( for more reference , kindly check the attached image ) making it a special 45-45-90 degree triangle.

Special triangles have simple easy rules to help identify the lengths of the other sides lengths. For the 45-45-90 degree triangle, the hypotenuse (longest side) is equal to the value of the triangles leg(shorter sides) times √2 ( for more reference kindly check the other attached image )

Here, the value of the leg it equal to √10

If the value of the hypotenuse (x) = leg × √2

Then the value of x = √10 × √2

x = √10 × √2 = √(10 × 2) = √20

==> simplify radical

x = 2√5

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Write an equation for the nth term of the arithmetic sequence.<br><br> 16, 8, 0, -8, ...
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Answer:

24-8n

Step-by-step explanation:

FORMULA: a1 (n-1) d

a1: 1st term

d: difference

16 (n-1) -8

16-8n+8= 24-8n

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Answer:

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Step-by-step explanation:

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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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