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3 years ago

What are all the prime and composite factors of 45

Mathematics

1 answer:

Helen [10]3 years ago

3 0

I may not know many but here it goes...
1,3,5,9,45

Hope this helped you!

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Factor 70x^4y^2+14xy

Aliun [14]

70x^4y^2+14xy
14(5x^4y^2+xy)
14xy(5x^3y+1)

Just keep taking out things that both terms have in common, to find the answer.

3 0

4 years ago

A boat has a speed of 15 mph in still water. It travels downstream from Greentown to Glenavon in g hours. It then goes back upst

valentina_108 [34]

Answer:

The distance from Greentown to Glenavon is D1 = g*(15+x) miles downstream.

The distance from Glenavon to Cambria is D2 = g*(15-x) miles upstream.

The difference D1 - D2 is 2 miles, according to the condition.

It gives you an equation g*(15+x) - g*(15-x) = 2, which you can easily solve and find "x", the rate of the current. x = 1/g miles per hour.

7 0

3 years ago

Write an expression in simplest form that represents the perimeter of the polygon

scoundrel [369]

Answer:

Perimeter = (11x + 12)

Step-by-step explanation:

Since, perimeter of a polygon is represented by the sum of measures of all sides,

Perimeter of the given polygon = 3x + (x + 10) + 5x + (2x + 2)

By adding like terms of the expression,

Perimeter of the polygon = (3x + x + 5x + 2x) + (10 + 2)

= (11x + 12)

Therefore, expression for the perimeter is (11x + 12).

6 0

3 years ago

Dave rolls a die and flips a coin. How many outcomes are in the sample space?

kogti [31]

Well the are six sides and numbers on the dices and two sides on the coin so there would be 8 outcomes

5 0

3 years ago

Read 2 more answers

If X²⁰¹³ + 1/X²⁰¹³ = 2, then find the value of X²⁰²² + 1/X²⁰²² = ?

enyata [817]

Step-by-step explanation:

$\bf➤ \underline{Given-} \\$

$\sf{x^{2013} + \frac{1}{x^{2013}} = 2}\\$

$\bf➤ \underline{To\: find-} \\$

$\sf {the\: value \: of \: x^{2022} + \frac{1}{x^{2022}}= ?}\\$

$\bf ➤\underline{Solution-} \\$

Let us assume that:

$\rm: \longmapsto u = {x}^{2013}$

Therefore, the equation becomes:

$\rm: \longmapsto u + \dfrac{1}{u} = 2$

$\rm: \longmapsto \dfrac{ {u}^{2} + 1}{u} = 2$

$\rm: \longmapsto{u}^{2} + 1 = 2u$

$\rm: \longmapsto{u}^{2} - 2u + 1 =0$

$\rm: \longmapsto {(u - 1)}^{2} =0$

$\rm: \longmapsto u = 1$

Now substitute the value of u. We get:

$\rm: \longmapsto {x}^{2013} = 1$

$\rm: \longmapsto x = 1$

Therefore:

$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 1 + 1$

$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 2$

★ Which is our required answer.

$\textsf{\large{\underline{More To Know}:}}$

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)³ = a³ + 3ab(a + b) + b³

(a - b)³ = a³ - 3ab(a - b) - b³

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

(x + a)(x + b) = x² + (a + b)x + ab

(x + a)(x - b) = x² + (a - b)x - ab

(x - a)(x + b) = x² - (a - b)x - ab

(x - a)(x - b) = x² - (a + b)x + ab

6 0

3 years ago