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Natali5045456 [20]
1 year ago
10

Can someone please help me with this geometry homework?

Mathematics
1 answer:
Leno4ka [110]1 year ago
8 0

The distances between the two points, in units, are given as follows:

7. \sqrt{2}

8. 2\sqrt{17}

9. 3\sqrt{2}

10. 3\sqrt{5}

The midpoints are given as follows:

11. (7,-4.5).

12. (2,4).

13. (7,0.5).

14. (5.5,-1.5).

<h3>What is the distance between two points?</h3>

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For item 7, the points are (-3,-2) and (-4,-3), hence the distance is:

D = \sqrt{(-4 + 3)^2 + (-3 + 2)^2} = \sqrt{2}

For item 8, the points are (-3,1) and (5,3), hence the distance is:

D = \sqrt{(5 + 3)^2 + (3 - 1)^2} = \sqrt{68} = 2\sqrt{17}

For item 9, the points are (-3,0) and (0,-3), hence the distance is:

D = \sqrt{(0 + 3)^2 + (-3 - 0)^2} = \sqrt{18} = 3\sqrt{2}

For item 10, the points are (1,-2) and (4,4), hence the distance is:

D = \sqrt{(4 - 1)^2 + (4 + 2)^2} = \sqrt{45} = 3\sqrt{5}

<h3>What is the midpoint concept?</h3>

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Hence, for item 11, the midpoint is given by:

[0.5(9 + 5), 0.5(1-10)] = (7,-4.5).

For item 12, the midpoint is given by:

[0.5(-5 + 9), 0.5(7 + 1)] = (2,4).

For item 13, the midpoint is given by:

[0.5(9 + 5), 0.5(9 - 8)] = (7,0.5).

For item 14, the midpoint is given by:

[0.5(10 + 1), 0.5(4 - 7)] = (5.5,-1.5).

More can be learned about the distance between two points at brainly.com/question/18345417

#SPJ1

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56/9 x 10/3 = 560/27

560/27 divided by 1/3

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2 years ago
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iren2701 [21]

Step-by-step explanation:

\frac{ {13}^{6}  \div  {13}^{8}  \times  {13}^{ - 4} }{ {13}^{ - 2} }

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If you multiply two powers with the same base, the result will be the base to the sum of the powers.

If you divide two powers with the same base, the result will be the base to the difference of the powers.

In your case you will this:

{13}^{6 - 8 + ( - 4) - ( - 2)}

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{13}^{ - 4}

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Answer:

The answer to your question is the first option

Step-by-step explanation:

Write the division

                               7x³  - 7x²   + 6x   +4                        Result

                  x + 1     7x⁴  -  0x³  - 1x²  +  10x  + 15

                             -7x⁴   -  7x³

                               0     -  7x³  - 1x²      

                                       + 7x³ +7x²

                                          0    + 6x² +  10x

                                                - 6x²  -    6x

                                                    0    +   4x  + 15

                                                          -    4x  -   4

                                                                0   + 11            Remainder

Result =  7x³ - 7x² + 6x + 4 + 11 / x + 1

8 0
3 years ago
What is the explict formula for the arithmetic sequence -7.5,-9,-10.5,-12
elena-14-01-66 [18.8K]

Answer:

<u>x = -7.5 - 1.5(n−1) </u>

Step-by-step explanation:

the explicit formula for the arithmetic sequence has the form

x = a + d(n−1)

a is the first term and d is the common difference

The given arithmetic sequence is

-7.5,-9,-10.5,-12

The first term is -7.5

d = common difference = -9 - (-7.5) = -1.5

∴ x = -7.5 - 1.5(n−1)

8 0
3 years ago
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