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2 years ago

Which expression is equivalent to 4x2 – 49?

Mathematics

1 answer:

Rus_ich [418]2 years ago

6 0

Answer:

(2x + 7)(2x - 7)

Step-by-step explanation:

Given:

4x² - 49

Find:

Factories

Computation:

4x² - 49

Using Identity

⇒ a² - b² = (a + b)(a - b)

⇒ 4x² - 49

⇒ (2x)² - (7)²

(2x + 7)(2x - 7)

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In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.

Hitman42 [59]

$\longmapsto$ The value of "x" is 5.

$\large\underline{\sf{Solution-}}$

Given that,

A trapezium ABCD in which AB || CD such that

AO = x - 1

CO = BO = x + 1

OD = x + 4

Now,

$\rm In \: \triangle \: AOB \: and \: \triangle \: COD$

$\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}$

$\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}$

$\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}$

$\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO}$

$\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4}$

$\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2}$

$\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x$

$\rm \longmapsto\: 3x - 4 = 1 + 2x$

$\rm \longmapsto\: 3x - 2x= 1 +4$

$\bf\longmapsto \:x = 5$

7 0

2 years ago

Michelle bought five packs of crayons for 13.75. what is the cost of a pack ,in dollars, if all the packs cost the same

Schach [20]

Answer:

2.75

Step-by-step explanation:

Divide 13.75 by five.

5 0

2 years ago

Which expression shows the result of applying the distributive property to −2(13x−15)−2(13x−15) ?

defon

D is the answer good luck

3 0

2 years ago

Read 2 more answers

Is 1/6 greater than 1/3

____ [38]

No, 1/3 is greater than 1/6.
1/3 converts to 2/6.
2/6 > 1/6

4 0

3 years ago

Read 2 more answers

A line of best fit predicts that when x equals 28 y will equal 27.255 but y actually equals 26 what is the residual in this case

Kobotan [32]

Answer:

The answer is -1.255 for residual value.

Step-by-step explanation:

We are tasked to solve for the residual value given that when x equals 29, y will be equals to 27.255. But, when it is tested, y actual value is 26. The formula in solving residual is shown below:

Residual value = Observed value - predicted value

Residual value = 26 - 27.255

Residual values = -1.255

4 0

2 years ago