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swat32
3 years ago
9

A segment has endpoints at (-2,3) and (7,9) , How Long is the segment

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0
\text{The formula of the distance between two points:}\\\\A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}

\text{We have:}\\A(-2;\ 3)\to x_A=-2;\ y_A=2\\B(7;\ 9)\to x_B=7;\ y_B=9\\\\\text{substitute}\\\\|AB|=\sqrt{(7-(-2))^2+(9-3)^2}=\sqrt{9^2+6^2}=\sqrt{81+36}=\sqrt{117}\\\\=\sqrt{9\cdot13}=\sqrt9\cdot\sqrt{13}=3\sqrt{13}
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Christopher and Edward were painting wagon wheels for the school play. The pictures show how much of the wheels they painted. Ho
Marina CMI [18]

Using fractions, it is found that \frac{43}{45} of a wheel still needs to be painted.

  • On the first wheel, 4 of the 9 equal parts have been painted, that is, \frac{4}{9} of the wheel has been painted, hence \frac{5}{9} has not been painted.
  • On the second wheel, 6 of the 10 equal parts have been painted, that is, \frac{6}{10} = \frac{3}{5} of the wheel has been painted, hence \frac{2}{5} has not been painted.

The total fraction that still has to be painted is:

\frac{5}{9} + \frac{2}{5} = \frac{25 + 18}{45} = \frac{43}{45}

\frac{43}{45} of a wheel still needs to be painted.

To learn more about fractions, you can take a look at brainly.com/question/14387610

8 0
3 years ago
Find x such that x - 4, x, and 3x - 8 are three consecutive terms in a geometric sequence
Nitella [24]
In a geometric sequence dividing any term by the term before it yields the common multiplier.
Then x/(x+8) = (3x-8)/x
Solving for x:  reduces to x^2-10x +16 factor into (x-2)(x-8)
Then x = 2 or 8
2 produces a sequence of -2, 2, -2 ...
8 produces a sequence of 4, 8, 16 ...
8 0
4 years ago
I need three integers to make up 5<br> my integers are -1, -6, 9, 4, -7, -2, 8
satela [25.4K]

Answer:

You can get a negative 5 if you subtract -7 minus -2.

Step-by-step explanation:

4 0
4 years ago
There are many numbers that divide 109 with a remainder of 4. List all two-digit numbers that have that property.
Paladinen [302]

Answer:

3 Numbers: 15, 21, 35

Step-by-step explanation:

We want number that divide 109 with a remainder of 4.

Thus, it can divide of 109 - 4 = 105

Factors of 105 = 3, 5, 7

Thus for getting two digit number it must be Multiple of any two factors of 105.

i.e. 15, 21 and 35

Hence there are only 3 numbers that divide 109 with a remainder of 4.

7 0
4 years ago
I will give you brainelist
Lelu [443]

Answer:

MP > OP

Step-by-step explanation:

5 0
3 years ago
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