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3 years ago

3+9+5x+4+8x simplified

Mathematics

1 answer:

pickupchik [31]3 years ago

4 0

Answer:

13x + 16

Step-by-step explanation:

Add the like terms together, like terms are terms that have the same variable or power. Ex. x and 4x are like terms, 4x and 4 are not. x^2 and x^3 are not like terms, x^2 and 2x^2 are like terms.

3+9+5x+4+8x

5x+8x+3+9+4

13x + 16

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3 years ago

Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete. A 2-column table wi

Troyanec [42]

Answer:

5x and -4x

Step-by-step explanation:

Paul wants M₁ and M₂ to have a total that is +x, and a product that is -20x². The values of M₁ and M₂ that will do that are ...

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4 years ago

Your friend has a recipe book with 1000 recipes.she makes 2 new recipes each week. after 1 year, what fraction of the recipes ha

adoni [48]

After one year, the fraction of the recipe that she has not made is 896/1000 or 112/125

Fraction:

A fraction means the part of the whole thing.

For example, a pizza is divided into four equal pieces, then each piece is represented by ¼.

Given:

Your friend has a recipe book with 1000 recipes.

She makes 2 new recipes each week.

We need to find the fraction of the recipes has she not made after one year.

We know that,

1 year = 52 week

So, here they given that she will make 2 recipes per week.

So, in one year she will make

=> 2 x 52 = 104

So, the remaining recipes in the book is

=> 1000 - 104

=> 896

So, the fraction is

=> 896 / 1000

When we simplify it, then we get

To simplify, we need to find the Greatest Common Factor (GCF) of 896 and 1000, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 8, and getting our simplified answer:

=> 112 / 125

To know more about Fraction here

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2 years ago

A tourist takes a picture with a Moai statue on Easter Island. In the photograph, the Moai statue is approximately 4.54.54, poin

KengaRu [80]

Answer:

The of the tourist is 1.67 meters.

Step-by-step explanation:

Height of statue in photograph = 4.5 inches.

Height of tourist in photograph = 1.25 inches.

$\dfrac{Statue}{Tourist}=\dfrac{4.5}{1.25}$

Actual height of statue = 6.0 meters.

We need to find the the actual height of the tourist in meters.

Let x be the actual height of the tourist in meters.

$\dfrac{Statue}{Tourist}=\dfrac{6.0}{x}$

Ratio of height of statue and tourist are proportional.

$\dfrac{4.5}{1.25}=\dfrac{6.0}{x}$

$3.6=\dfrac{6.0}{x}$

$3.6x=6.0$

$x=\dfrac{6.0}{3.6}$

$x\approx 1.67$

Therefore, the of the tourist is 1.67 meters.

5 0

4 years ago

Please verify the following trigonometric identities.

Nina [5.8K]

Seems like there is a correction in the first question (RHS is tanx.tany)

(i) For convenience: let tanx = a ; tany = b

Thus, tanx + tany = a + b

Moreover, cotx = 1/tanx = 1/a ; coty = 1/b

Thus,

cotx + coty = 1/a + 1/b = (a + b)/ab

Hence,

=> (tanx + tany)/(cotx + coty)

=> (a + b) / { (a + b)/ab }

=> ab(a + b)/(a + b)

=> ab => tanx.tany , proved.

(ii) For convenience: let sinx = a ; cosx = b

As we know, sin²x + cos²x = 1 => a²+b²=1

=> (a³ + b³)/(a + b)

=> (a + b)(a² + b² - ab) / (a + b)

=> (a² + b² - ab)

=> 1 - ab => 1 - sinx.cosx , proved

(iii): let x/2 = A

=> tan(x/2) + cosx.tan(x/2)

=> tanA + cos2A.tanA

=> tanA [1 + cos2A]

=> tanA (2cos²A) {1+cos2A = 2cos²A}

=> (sinA/cosA) (2cos²A)

=> sinA (2cosA)

=> 2sinAcosA

=> sin2A

=> sin2(x/2)

=> sinx proved

Letting x/2 = A is not mandatory. I did it to decease words*(in a line).

<u>Indentities used</u>:

• sin²A + cos²A = 1

• (a³ + b³) = (a + b)(a² + b² - 1)

• 1 + cosA = 2 cos²(A/2)

• tanA = sinA/cosA.

• 2sinAcosA = sin2A

8 0

3 years ago

Read 2 more answers