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3 years ago

If m + 1 is an an even integer which one of the following must be an odd integer ?

Mathematics

2 answers:

Olenka [21]3 years ago

7 0

Answer:

Option C.

Step-by-step explanation:

Even number : A number is called even if it is divisible by 2, i.e., 2, 4, 6,...

Odd number : A number is called odd if it is not divisible by 2, i.e., 1,3,5,...

It is given that m + 1 is an an even integer.

Since alternate numbers are even, therefore m must be an odd number.

If m is odd, then m-1 is even.

2m is divisible by 2, so it is always an even number. So,

2m - 2 is even.

2m+1 is odd.

2m+2 is even.

Since 2m+1 is an odd number, therefore the correct option is C.

AveGali [126]3 years ago

4 0

Answer:

C: 2m + 1

Step-by-step explanation:

If m + 1 is even, then m is odd.

A: m - 1 is even

B: 2m - 2 is even

C: 2m + 1 is odd

D: 2m + 2 is even

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Find a primitivism root of 6

avanturin [10]

Answer:

6, 5, 47, 5, 103, 5, 167, 5

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3 years ago

The width of a rectangle is 2/5 its length. Find the dimensions if the perimeter is 42<br> meters.

Olin [163]

The formula to find the perimeter of a rectangle is P= 2(l+w). By substituting what we now knowin to the equation:

•42=2(l+(2/5l)). We can have width represented at (2/5l) because it’s now 2/5 of the length. Now add them together to get a single coefficient for l.

•42= 2(7/5l). Multiplying 7/5 by 2.

42= (14/5l). Multiplying both sides by the reciprocal of 14/5, which is 5/14, to get l by itself.

•l= 15.

Now that we now know the value of l, we know that the length is 15m. To find the width of the answer, we then multiply 15 by 2/5, which equals 6. Therefore, the only third option is correct because the length is 15m and the width is 6m.

3 0

3 years ago

I was sick for a week and never got tought this stuff can you help

Crank

1. We know that Sum of Three Angles in a Triangle is 180

⇒ m∠1 + 75 + 40 = 180

Option B is the Answer

2. We know that Sum of Three Angles in a Triangle is 180

⇒ ∠1 + 30 + 20 = 180

⇒ ∠1 + 50 = 180

⇒ ∠1 = 180 - 50

⇒∠1 = 130

3. We know that Sum of Three Angles in a Triangle is 180

⇒ ∠1 + 75 + 35 = 180

⇒ ∠1 + 110 = 180

⇒ ∠1 = 180 - 110

⇒ ∠1 = 70

4. We know that Sum of Three Angles in a Triangle is 180

⇒ ∠1 + 60 + 60 = 180

⇒ ∠1 + 120 = 180

⇒ ∠1 = 180 - 120

⇒ ∠1 = 60

5. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ ∠2 + 90 + 30 = 180

⇒ ∠2 + 120 = 180

⇒ ∠2 = 180 - 120

⇒ ∠2 = 60

6. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ ∠2 + 90 + 40 = 180

⇒ ∠2 + 130 = 180

⇒ ∠2 = 180 - 130

⇒ ∠2 = 50

7. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ ∠2 + 90 + 45 = 180

⇒ ∠2 + 135 = 180

⇒ ∠2 = 180 - 135

⇒ ∠2 = 45

8. We know that the Exterior Angle of one Vertex of a Triangle is the Sum of Other two vertices interior angles.

⇒ ∠3 = 80 + 60

⇒ ∠3 = 140

9. We know that the Exterior Angle of one Vertex of a Triangle is the Sum of Other two vertices interior angles.

⇒ ∠3 = 40 + 35

⇒ ∠3 = 75

10. We know that the Exterior Angle of one Vertex of a Triangle is the Sum of Other two vertices interior angles.

⇒ ∠3 = 75 + 65

⇒ ∠3 = 140

11. We know that Sum of Three Angles in a Triangle is 180

⇒ x + x + 108 = 180

⇒ 2x + 108 = 180

⇒ 2x = 180 - 108

⇒ 2x = 72

⇒ x = 36

12. We know that Sum of Three Angles in a Triangle is 180

⇒ 60 + 60 + 3x = 180

⇒ 3x + 120 = 180

⇒ 3x = 180 - 120

⇒ 3x = 60

⇒ x = 20

13. We know that Sum of Three Angles in a Triangle is 180

We can notice that the Given Triangle is a Right Angled Triangle

We know that One Angle in Right Angled Triangle is 90

⇒ (5x + 3) + 47 + 90 = 180

⇒ 5x + 140 = 180

⇒ 5x = 180 - 140

⇒ 5x = 40

⇒ x = 8

14. We can notice that the Given Diagram is a Right angled Triangle :

⇒ ∠1 + 90 + 45 = 180

⇒ ∠1 + 135 = 180

⇒ ∠1 = 180 - 135

⇒ ∠1 = 45

8 0

3 years ago

If f(x) = x+3 and g(x) = VX-1,<br> what is (fºg)(26)?

scZoUnD [109]

Answer:

26V + 2

Step-by-step explanation:

This is the same as saying f(g(x)), where x = 26

First, lets figure out what g(x) is equal to when x = 26

g(26) = V(26) - 1 = 26V - 1

Now we input 26V - 1 into f(x) for x

f(26V-1) = (26V-1) + 3 = 26V + 2

8 0

2 years ago

An equation that passes through (0, -2/3) and (-3, -2/3)

9966 [12]

Answer:

y = 0x - 2/3

Step-by-step explanation:

We are asked to find the equation of the line

Step1: find the slope

( 0 , -2/3) ( 3 , -2/3)

m = (y_2 - y_1 )/ (x_2 - x_1)

x_1 = 0

y_1 = -2/3

x_2 = 3

y_2 = -2/3

Insert the values into the equation

m =( -2/3 - (-2/3) / (3 - 0)

= -2/3 + 2/3 / 3

= 0 / 3

m = 0

Step 2: sub m into the equation

y = mx + c

y = 0x + c

Step 3: sub any of the two points given into the eqn

y = 0x + c

Let's pick ( 3 , -2/3)

x = 3

y = -2/3

-2/3 = 0(3) + c

-2/3 = 0 + c

c = -2/3

Step4: sub c into the equation

y = mx + c

y = 0x + c

y = 0x - 2/3

Therefore, the equation of the line is

y = 0x - 2/3

8 0

3 years ago