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3 years ago

Is this sequence arithmetic? If so, what is the common difference (d)? 12, 19, 26, 33

Mathematics

2 answers:

Kitty [74]3 years ago

8 0

Answer:

Step-by-step explanation:

Yes it is.

The common difference is +7

devlian [24]3 years ago

6 0

Answer:

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

19-12 = 7

Check by subtracting the third term and subtract the second term

26-19 = 7

The common difference is 7

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A rectangular bathroom tile is 2 1/3 times as wide as it is tall.If the tile is 5cm tall,how wide is it?

Neko [114]

The width of the rectangular bathroom tile is 11 and 2/3 centimeters. Taft is because 2x5 is 10 cm and 1/3x5 is 5/3. 5/3 simplified as a mixed number is 1 and 2/3. 1 and 2/3 combined with 10 is 11 and 2/3 centimeters.

8 0

3 years ago

Divide a^24-a^18+a^12 by a^6<br> what is the quotation?

lana66690 [7]

I think you mean "what is the QUOTIENT?"

$\dfrac{a^{24} - a^{18} + a^{12}}{a^6} =$

$= \dfrac{a^{24}}{a^6} - \dfrac{a^{18}}{a^6} + \dfrac{a^{12}}{a^6}$

$= a^{24 - 6} - a^{18 - 6} + a^{12 - 6}$

$= a^{18} - a^{12} + a^{6}$

5 0

4 years ago

Evaluate the expression h + k for h = 6 and k = 14

Kaylis [27]

Answer:

Step-by-step explanation:

h + k

h = 6 and k = 14

6+14

8 0

3 years ago

(6- -6 + 5.3) / -2.25

STALIN [3.7K]

Answer:

346 / 45

Step-by-step explanation:

6 + 6 + 5.3

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4 0

3 years ago

<img src="https://tex.z-dn.net/?f=2x%5E2%2B5x%2B3%3D0" id="TexFormula1" title="2x^2+5x+3=0" alt="2x^2+5x+3=0" align="absmiddle"

melamori03 [73]

Answer:

$x=-\frac{3}{2},-1$

Step-by-step explanation:

$2x^2+5x+3=0$

Split the second term (5x) into two terms. Multiply the coefficient of the first term (2) by the constant term (3):

$2*3=6$

Find which two numbers add up to 5 and multiply into 6:

$3+2=5\\3*2=6\\3,2$

Split 5x as the sum of 3x and 2x:

$2x^2+3x+2x+3$

Now factor out a common term for the first 2 terms:

$2x^2+3x\\x(2x+3)$

And do the same for the last 2 terms:

$2x+3\\1(2x+3)$

Re-insert:

$x(2x+3)+1(2x+3)=0$

Factor out the common term 2x+3 and insert the values in front of the parentheses (x and 1):

$(2x+3)(x+1)=0$

Separate the parentheses and equal them to 0. Solve for x:

$2x+3=0\\2x+3-3=0-3\\2x=-3\\\\\frac{2x}{2}=\frac{-3}{2}\\\\ x=-\frac{3}{2}$

and

$x+1=0\\x+1-1=0-1\\x=-1$

5 0

3 years ago