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2 years ago

Which is the table that shows the multiplication of x2 - 4x + 4 and 6x + 3?

Mathematics

1 answer:

umka21 [38]2 years ago

4 0

The correct answer to this question is: the guy above me is a bot Srry

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The lengths of the legs of a right triangle are consecutive even integers. The hypotenuse is 58 inches. What is the sum of the l

miskamm [114]

Answer:

82 inches

Step-by-step explanation:

The difference between consecutive even integers is 2, thus

let the legs be n and n + 2

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

n² + (n + 2)² = 58² ← expand and simplify left side

n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )

2n² + 4n - 3360 = 0 ( divide all terms by 2 )

n² + 2n - 1680 = 0 ← in standard form

(n + 42)(n - 40) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 42 = 0 ⇒ n = - 42

n - 40 = 0 ⇒ n = 40

But n > 0 ⇒ n = 40

and n + 2 = 40 + 2 = 42

Thus sum of legs = 40 + 42 = 82 inches

3 0

2 years ago

What is the answer? 12 x 4 1/2 =?

TiliK225 [7]

Answer:

Step-by-step explanation:

What I would do is multiply 12x4 first to get 48, then after I'd multiply 12x1/2 to get 6 then I'd add them together to get 54.

5 0

2 years ago

Pleaseeeeeee help mee

BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

Step(i):-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

$3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}$

$x = \frac{\pi }{6}$

Step(ii):-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

verification :-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

4 0

2 years ago

The Seniors at three high schools were surveyed about their plans after graduation. The following table shows the responses, cla

saw5 [17]

Answer:

E. 396/538

Step-by-step explanation:

The probability that the senior selected will not be from High School B given that the senior did not answer colege:

First, what's the probability of not having answered college? This will be out denominator.

P(not choosing college) = 244 + 106 + 188 = 538

Next, what's the probability that a senior in that category is not from HS B? Well, add the probabilities that the senior is in HS A or C:

P(senior is in HS A or C and answered not college) = 49 + 99 + 63 + 83 + 31 + 71 = 396

Our answer is E. 396/538.

7 0

3 years ago

Your task, to replicate this musical frequency is to write a method harmonicSeries that accepts an integer parameter n and retur

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

JUst try your best

5 0

3 years ago