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Inga [223]
2 years ago
13

Is the sum of an odd number of consecutive odd integers even or odd?

Mathematics
2 answers:
Ket [755]2 years ago
8 0

Answer:Consecutive odd numbers near 12 are 11 and 13. Therefore, the numbers are 11 and 13. The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.

Step-by-step explanation: hope this helps

Sloan [31]2 years ago
7 0

Answer:

Odd

Step-by-step explanation:

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What is the slope of the line passing through the points (−3, −5) and (−1, −6)?
Virty [35]

Answer:

The slope of the line passing through the points (−3, −5) and (−1, −6) is -\frac{ 1 }{ 2 } (-0.5)

Step-by-step explanation:

Equation of a straight line:

y = mx + b where m is the slope and b is the y-intercept

(x1, x2) and (y1, y2) : (−3, −5) and (−1, −6)

Calculating Slope (m).

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

m = \frac{ (-6) - (-5) }{ (-1) - (-3) }

m = \frac{ -6 + 5 }{ -1 + 3 }

m = -\frac{ 1 }{ 2 }

we can take this a step further by finding the equation:

Now putting value of m in equation (i)

y = -0.5x + b

Calculating Y-intercept (b).

Lets choose the first point, (-3,-5) for calculating y-intercept:

y = mx + b

-5 = -0.5(-3) + b

-5 = 1.5 + b

-6.5 = b

b = -6.5

Now putting value of b in equation

y = -0.5x + -6.5

8 0
2 years ago
Read 2 more answers
Answer it right and i'll try to give you brainliest.
mario62 [17]

Answer:

384 cm²

Step-by-step explanation:

Since it is a square pyramid, the total surface area of the pyramid is the area of its square base plus the area of its 4 triangular faces.

\boxed{area \: of \: triangle =  \frac{1}{2} \times base \times height }

Area of a triangular face

= ½ ×12 ×10

= 60 cm²

\boxed{area \: of \: square = side \times side}

Base area of pyramid

= 12 ×12

= 144 cm²

∴ Surface area of pyramid

= 4(60) +144

= 240 +144

= 384 cm²

7 0
2 years ago
70 pointsss for the correct answer
nignag [31]

Answer:

f(x) = 12x³ - 19x² + 17x - 17

Step-by-step explanation:

We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.

We're given a denominator of 4x - 5

a quotient of 3x² - x + 3

and a remainder of -2

so the original numerator is:

(4x - 5)(3x² - x + 3) - 2

= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2

= 12x³ - 19x² + 17x - 17

Let's test that by dividing it by 4x -5 with long division:

\ \ \ \ \ \ \ \ \ \  3x^2 - x + 3\\4x - 5\overline{)12x^3 - 19x^2 + 17x - 17}\\.\  \ \ \ \ \ \ \ \ \underline{2x^3 - 15x^2}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \  -4x^2 + 17x\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-4x^2 + 5x} \\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12x - 17\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{12x - 15}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2R

That matches, so we know our answer's right, and:

f(x) = 12x³ - 19x² + 17x - 17

3 0
3 years ago
Tim walks 2/3 mile to school each day.He walks the same distance home. how far does he walk to and from school during a regular
klio [65]
About 6.7 miles for a week
5 0
3 years ago
Read 2 more answers
Ticket Taker Tony collects 90 tickets in 5 minutes. Ticket Taker Tina collects 128 tickets in 8 minutes. Which ticket taker coll
SpyIntel [72]

Answer:

Ticket Taker Tony collects more tickets per minute.

Step-by-step explanation:

In order to find out which ticket taker collects more tickets per minute, you need to solve for how many tickets each Ticket Taker collects per minute to compare.  Since 90:5 and 128:8 are different ratios, you need to find the unit rate, or how many tickets each collects per minute.  To find unit rate, you divide the numerator by the denominator:

Ticket Taker Tony:  \frac{90 tickets}{5 minutes} = \frac{18 tickets}{1 minute}

Ticket Taker Tina:  \frac{128 tickets}{8 minutes} = \frac{16 tickets}{1 minute}

Every minute, Tony collects 18 tickets, while Tina only collects 16, so Ticket Taker Tony collects more.  

6 0
3 years ago
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