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2 years ago

If two sides in one triangle are 9 and 21 , then the third side might be

Mathematics

1 answer:

slamgirl [31]2 years ago

7 0

Answer:

Step-by-step explanation:

there is a rule that says that if you add any 2 sides, it should be more than the third. 9+21 is greater than 13. 21+13 is greater than 9. 13 is the only number which if you add 9 to it it will be greater than 21. 12 will equal 21, but it still wont work.

hope this helps :))

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In the expansion of (1/ax +2ax^2)^5 the coefficient of x is five. Find the value of the constant a.

DedPeter [7]

Answer:

80x⁴

Step-by-step explanation:

$(\frac{1}{ax} + 2ax^2)^5 = 5C_0(\frac{1}{ax})^5(2ax^2)^0 + 5C_1(\frac{1}{ax})^4(2ax^2)^1 + 5C_2(\frac{1}{ax})^3 (2ax^2)^2$

$+ 5C_3 (\frac{1}{ax})^2(2ax^2)^3 + 5C_4(\frac{1}{ax})^1(2ax^2)^4 + 5C_5(\frac{1}{ax})^0(2ax^2)^5$

$5C_0(\frac{1}{ax})^5(2ax^2)^0 =1 \times (\frac{1}{ax})^5 \times 1 = \frac{1}{a^5x^5}\\\\5C_1(\frac{1}{ax})^4(2ax^2)^1 = 5 \times (\frac{1}{ax})^4 \times (2ax^2)^1 = 10 ax^2 \times \frac{1}{a^4x^4} = \frac{10}{a^3x^2}\\\\5C_2 (\frac{1}{ax})^3 (2ax^2)^2= 10 \times (\frac{1}{ax})^3 \times (2ax^2)^2 = 10 \times \frac{1}{a^3x^3} \times 4a^2x^4 = \frac{40x}{a}\\\\5C_3 (\frac{1}{ax})^2 (2ax^2)^3 = 10 \times (\frac{1}{ax})^2 \times (2ax^2)^3 = 10 \times \frac{1}{a^2x^2} \times 8a^3 x^6 = 80ax^4\\\\$

$5C_4(\frac{1}{ax})^1(2ax^2)^4 = 5 \times \frac{1}{ax} \times 16a^4x^8 = 80a^3x^7\\\\5C_5(\frac{1}{ax})^0(2ax^2)^5 = 1 \times 1 \times 32a^5x^{10}$

The fourth term of the expansion has the constant a,

the coefficient of a is 80x⁴

6 0

3 years ago

Which simplified expression matches the set of tiles shown?

notka56 [123]

Answer:

The expression - x² - x + 2 and - x² + x + 2 matches the set of tiles

Step-by-step explanation:

Given four expression as :

A ) - x² - x + 2

solving by mid term breaking

Or, - x² - 2 x + x + 2

Or, - x ( x + 2 ) + 1 ( x + 2 )

or, ( x + 2 ) ( - x + 1 )

B ) x² - x + 2

solving by mid term breaking

Or, x² - 2 x + x + 2

or, x ( x - 2 ) + 1 ( x + 2 )

So, the expression will not break

C ) - x² + x + 2

solving by mid term break

Or, - x² + 2 x - x + 2

or, - x ( x - 2 ) - 1 ( x - 2 )

or, ( x - 2 ) ( - x - 1 )

D ) x² + x + 2

solving by mid term break

Or, ) x² + 2 x - x + 2

Or, x ( x + 2 ) - 1 ( x - 2 )

so, The expression will not break

Hence The expression - x² - x + 2 and - x² + x + 2 matches the set of tiles answer

6 0

3 years ago

What is the slope of EC?

Nezavi [6.7K]

its the first option

3 0

3 years ago

Read 2 more answers

a rocket is scheduled to launch from a command center in 3.75 hours. what time is it now if launch time is 11:20am. i need to kn

gtnhenbr [62]

The equation would be 3.75+t=11.2 so:

3.75+t=11.2

3.75+t-3.75=11.2-3.75

t=7.45, which is 7:35.

5 0

3 years ago

Read 2 more answers

1 Middle School Mathematics 5 points stio49304Asked 03.20.2020 Charlotte runs a farm stand that sells bananas and raspberries. E

denis23 [38]

Answer:

The number of pounds of bananas sold are 50 and the number of pounds of raspberries sold are 37.

Step-by-step explanation:

Given:

Charlotte runs a farm stand that sells bananas and raspberries.

Each pound of bananas sells for $3.25 and each pound of raspberries sells for $1.75.

Charlotte sold 13 more pounds of bananas than pounds of raspberries and made $227.25 altogether.

Now, tot find the number of pounds of bananas sold and the number of pounds of raspberries sold.

Let the number of pounds of raspberries be $x.$

Let the number of pounds of bananas be $x+13.$

Selling price of each pound of raspberries = $1.75.

Selling price of each bananas = $3.25.

Total price of bananas and raspberries sold = $227.25.

Now, we put an equation to get the number of pounds of bananas sold and the number of pounds of raspberries sold:

$x(1.75)+x+13(3.25)=227.25\\\\1.75x+3.25x+42.25=227.25\\\\5x+42.25=227.25$

Subtracting both sides by 42.25 we get:

$5x=185$

Dividing both sides by 5 we get:

$x=37.$

The number of pounds of raspberries = 37 pounds.

Substituting the value of $x$ :

$x+13\\\\=37+13\\\\=50.$

The number of pounds of bananas = 50.

Therefore, the number of pounds of bananas sold are 50 and the number of pounds of raspberries sold are 37.

3 0

4 years ago