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horrorfan [7]
3 years ago
8

Show by direct proof the sum of two odd integers is an even integer.

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0
I believe this is right, please correct me if not!

Good luck!

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What is the distance between the points located at (5, 1) and (10, 11) ?
Feliz [49]

\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}

\sf \red{What \: is \: the \: distance \: between \: the \: points \: located \: at \: (5, 1) \: and \: (10, 11) ?}

\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}

Let, the points be A(5,1) and B(10,11) on the number line.

Here,

x_{1} = 5. x_{2} = 10

y_{1} = 1. y_{2} = 11

We,know that to find distance between two points, the formula is:

\sqrt{( {x}_{2}  -  {x}_{1})^{2}  + ( {y}_{2} -  {y}_{1} )^{2}   }  \\  \\  =  \sqrt{(10 - 5) ^{2}  + (11 - 1)^{2} } \\  \\  =  \sqrt{ ({5)}^{2}  + ( {10})^{2} }  \\  \\  =  \sqrt{25 + 100}  \\  \\  =  \sqrt{125}  \\  \\  = 11.18

Therefore, the distance between the two points (A) and (B) is 11.18

\boxed{ \frak \red{Hope \: it \: helps \: you}}

4 0
2 years ago
If I observe a bed of mussels on the coast of California in which five species live where the abundances of each species are 100
babymother [125]

Answer:

The Probability of randomly picking the third species=0.316

Step-by-step explanation:

In a bed of mussels on the coast of California in which five species live,

The Abundance of each Species are 100, 500, 998, 12, and 1548

Total Value=100+500+998+12+1548=3158

Abundance of third Species=998

Probability=\frac{Abundance of Selected Species}{Total Abundance}

Probability (randomly picking the third species) =\frac{998}{3158}=\frac{499}{1579}=0.316

7 0
3 years ago
Find the distance traveled at the given speed and time using d=rt and r= 32mph and t= 4.5hr.
Goshia [24]

Hello!

As you can see, our distance is the product of our rate and time. Let's multiply below.

32(4.5)=144

Therefore, you would have traveled 144 miles.

I hope this helps!

3 0
3 years ago
Read 2 more answers
HELP MEEEEEEE! BTW ITS PERCENTAGES! THE IMAGES ARE DOWN BELOW AND THIS IS DUE AT 7:00
lara31 [8.8K]

Answer:

Hi, there your answers are:

29. 42=0.42

30.75=0.75

31. 8=0.08

32.5=0.05

33. percent=7% Decimal=0.07

34.percent=40% Decimal= 0.4

35. percent=90% Decimal=0.9

36. Decimal=0 Fraction= 0/100 or 0/10

37. Decimal=0.08 Fraction=8/100

38. Decimal = 0.33 Fraction= 33/100

39. Decimal= 0.74 Fraction=74/100

40. Decimal= 1% Fraction= 1/1 or 100/100

Hope this Helps :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Linear System, substitutional method<br><br> 5x+4y=32 <br> 9x-y=33<br><br> helppp
Pachacha [2.7K]
5x + 4y = 32 ⇒ 45x + 36y = 288
9x -  1y = 33 ⇒ <u>45x -    5y = 165</u>
                                    <u>41y</u> = <u>123</u>
                                     41      41
                                        y = 3
                            5x + 4(3) = 32
                              5x + 12 = 32
                               <u>    - 12  - 12</u>
                                      <u>5x</u> = <u>20</u>
                                       5      5
                                        x = 4
                                  (x, y) = (4, 3)
6 0
3 years ago
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