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3 years ago

If a+b+c=9 and ab+bc+ca=23 then a^3+b^3+c^3-3abc =?

Mathematics

1 answer:

Naddika [18.5K]3 years ago

5 0

Answer:

Step-by-step explanation:

a³ +b³ + c³ - 3abc =(a + b + c)(a² + b² + c² - [ab+bc+ac] )

= 9 (a² + b² + c²- 23)

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The sum of the interior angles of a polygon is

Crank

Answer:

D) 15

Step-by-step explanation:

The sum of the interior angles of a polygon is given by

$(n - 2) \times 180$

We have that, the sum of the interior angles of a polygon is

26 right angles. We want to find n, the number of sides.

We substitute into the formula to get:

$(n - 2) \times 180 = 26 \times 90$

Divide through by 90

$2(n - 2) = 26$

Divide through by 2

$n - 2 = 13$

$n = 13 + 2$

$n = 15$

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3 years ago

a class has 14 students, 8 students are females, and 6 students are males. how many teams of 7 students contain at most 4 female

arlik [135]

Answer:

2416

Step-by-step explanation:

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3 years ago

What two numbers does the square root of 85 fall between?

timofeeve [1]

Answer:

9 and 10

Step-by-step explanation:

The sqaure root of 85 is 9.21954445729.

9.21954445729 is greater than 9 but less than 10, meaning it falls in between them.

7 0

3 years ago

Find the lcd of the pair of expressions

STALIN [3.7K]

$\frac{2}{7} {x}^{10} {y}^{4} \: and \: \frac{2}{14} {x}^{8} {y}^{7} \\ lcd = 14 {x}^{10} {y}^{7}$
Answer is
$14 {x}^{10} {y}^{7}$

When it's powered numbers, remember to choose the one with the largest power. For example,
${x}^{10}$
And
${x}^{8}$
Choose 10, same goes to y, where you choose 7 not 4 since 7 is larger.

Hope this helps. - M

4 0

3 years ago

The following values of (x) and f(y) are given. Find the best value of (dy/dx) at

velikii [3]

Answer:

dy/dx at x=6 is 0.334

Step-by-step explanation:

The center difference method requires that the values of the function are given in equal intervals which is the case, and allows one to find the value for x = 6 using those of the function for x = 5.5 and for x = 6.5 as follows:

$\frac{dy}{dx} =\frac{3.7436-3.4096}{6.5-5.5} =0.334$

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3 years ago