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Tamiku [17]
3 years ago
5

Find the value of x in the given statement. The diagram is not to scale.

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
7 0
Angle STR = 28 (since this angle is equal to SRT = 28)
Angle STU = 2x

The two angles STR and STU form a straight angle. They are supplementary. This means they add to 180 degrees
(angle STR) + (angle STU) = 180
28 + 2x = 180 .... substitution property
2x + 28 = 180
2x + 28 - 28 = 180 - 28 ... subtract 28 from both sides
2x = 152
2x/2 = 152/2 ... divide both sides by 2
x = 76

Answer: (b) 76
Natasha2012 [34]3 years ago
5 0

Answer:

Answer:x = 76   i took the test

Step-by-step explanation:

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Integrate the following. ∫<img src="https://tex.z-dn.net/?f=5x%5E%7B4%7D%20dx" id="TexFormula1" title="5x^{4} dx" alt="5x^{4} dx
Vadim26 [7]

Answer:

\displaystyle D)  {x}^{5}  +  \rm C

Step-by-step explanation:

we would like to integrate the following Integral:

\displaystyle \int 5 {x}^{4} \, dx

well, to get the constant we can consider the following Integration rule:

\displaystyle \int c{x} ^{n}  \, dx  =  c\int  {x}^{n}  \, dx

therefore,

\displaystyle 5\int  {x}^{4} \, dx

recall exponent integration rule:

\displaystyle \int {x} ^{n}  \, dx  =  \frac{ {x}^{n + 1} }{n + 1}

so let,

  • n = 4

Thus integrate:

\displaystyle  =  5\left( \frac{ {x}^{4+ 1} }{4 +  1}  \right)

simplify addition:

\displaystyle  =  5\left( \frac{ {x}^{5} }{5}  \right)

reduce fraction:

\displaystyle  =  {x}^{5}

finally we of course have to add the constant of integration:

\displaystyle  \boxed{ {x}^{5}  +  \rm C}

hence,

our answer is D)

7 0
3 years ago
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Find the value of <br><img src="https://tex.z-dn.net/?f=%20log_%7B8%7D%5E%7B512%7D%20" id="TexFormula1" title=" log_{8}^{512} "
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8 0
3 years ago
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lara [203]

Answer with explanation:

→→→Function 1

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f'(x)= - 2 x + 8

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2 x=8

Dividing both sides by , 2, we get

x=4

Double differentiating the function

f"(x)= -2, which is negative.

Showing that function attains maximum at ,x=4.

Now,f(4)=-4²+ 8× 4-15

           = -16 +32 -15

          = -31 +32

          =1

→→→Function 2:

f(x) = −x² + 2 x − 3

Differentiating once , to obtain Maximum or minimum of the function

f'(x)= -2 x +2

Put,f'(x)=0

-2 x +2=0

2 x=2

Dividing both sides by , 2, we get

x=1

Double differentiating the function,gives

f"(x)= -2 ,which is negative.

Showing that function attains maximum at ,x=1.

f(1)= -1²+2 ×1 -3

   = -1 +2 -3

  = -4 +2

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⇒⇒⇒Function 1  has the larger maximum.

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3 years ago
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elena-s [515]

3m=5m+15-3

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- 2m=12

m=-6

<h2><u>Mark as Brainliest</u></h2>

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