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Mariana [72]
3 years ago
9

The product of two Even numbers

Mathematics
1 answer:
krek1111 [17]3 years ago
3 0

The product of two even numbers is even.

 

Let m and n be any integers so that 2m and 2k are two even numbers.

The product is 2m(2k) = 2(2mk), which is even.

 

 

Things to think about:

Why didn’t I just show you by using any two even numbers like the number 4 and the number 26?

Why did I change from "m" to "k" ? Are they really different numbers or could they be the same?

Why did I specifically say that m and k were integers?

 

The product of two odd numbers is an odd number.

Let m and k be any integers. This means that 2m+1 and 2k+1 are odd numbers.

The product is 4mk + 2m + 2k + 1 (hint: I used FOIL) which can be written as

2 ( 2mk + m + k ) + 1 which is an odd number.

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Write the equation of the line that passes through (-1, 11) and (3, -5)
Genrish500 [490]

Answer:

y= -4x+7

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the gradient of the line first.

gradient =  \frac{y1 - y2}{x1 - x2}

Using the above formula,

m =  \frac{11 - ( - 5)}{ - 1 - 3}  \\ m =  \frac{11 + 5}{ - 4}  \\ m =  \frac{16}{ - 4}  \\ m =  - 4

Susbt. m= -4 into the equation:

y= -4x +c

Subst. a coordinate to find c.

When x=3, y= -5,

-5= -4(3) +c

-5= -12 +c

c= 12 -5

c=7

Thus the equation of the line is y= -4x +7.

8 0
3 years ago
1 3/8 x 5/8 please help me!​
natulia [17]

Answer:

55/64

Step-by-step explanation:

convert mixed number into improper fraction

11/8×5/8

multiply the fractions

11/8×5/8

11×5=55

8×8=64

Answer: 55/64

6 0
3 years ago
Rhea is writing a paper, and she notices that she can write 1.25 pages every 2 hours.
Ymorist [56]

Answer:

Rhea's estimation is unreasonable.

Step-by-step explanation:

Identify what you know:

1) Rhea calculates that she can write 1.25 pages every 2 hours

2) Rhea is calculating how long it would take her to write 6 pages.

Using Rhea's initial calculation, we can figure out roughly, how long it would take her to finish 6 pages.

First we need to divide 6 by 1.25, to figure out how many "2 hour" periods it would take Rhea.

6/1.25 = 4.8

4.8 x 2 = 9.6

It would take Rhea roughly 9.6 hours to finish 6 pages, which is 3.6 hours more than her original estimation. Thus, her estimate is unreasonable.

7 0
3 years ago
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