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Bond [772]
3 years ago
8

If 3(x-5)+2=29, the value of x^2 is​

Mathematics
2 answers:
coldgirl [10]3 years ago
7 0

Answer:

\huge\boxed{\sf x^2 = 16}

Step-by-step explanation:

\sf 3(x+5) +2 = 29\\\\Resolving \ Parenthesis\\\\ 3x + 15 + 2 = 29\\\\3x + 17 = 29\\\\Subtract \ 17 \ to \ both \ sides\\\\3x = 29-17\\\\3x = 12\\\\Divide \ 3 \ to \ both \ sides\\\\x = 12 / 3\\\\x = 4\\\\Take \ square \ on \ both \ sides\\\\x^2 = (4)^2\\\\x^2 = 16\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
antoniya [11.8K]3 years ago
4 0

Step-by-step explanation:

\huge{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}

\tt{3(x-5)+2=29  } ⠀

\tt{3x-15=29-2  } ⠀

\tt{ 3x=27-15 } ⠀

\tt{ 3x=12 } ⠀

\tt{ x=\dfrac{12}{3} } ⠀

\tt{x=4  } ⠀

So,

According to the question,

\tt{  x^2=x×x=4×4=16} ⠀

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What are the next three terms of the sequence below?
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<u>Answer:</u>

  • 64, 256, 1024 (D)

<u>Step-by-step </u><u>Explanation</u><u>:</u>

The sequence is following some rule. And the rule is: Multiplying the term with 4 to get the next term. Like:

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Similarly, the next terms are:

  • 16 \times 4 = 64
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  • 256 \times 4 = 1024

The terms are <u>6</u><u>4</u><u>,</u><u> </u><u>2</u><u>5</u><u>6</u><u>,</u><u> </u><u>1</u><u>0</u><u>2</u><u>4</u> which matches with Option D. And that's the correct answer

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Step-by-step explanation:

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In a rectangle, the length is five times the width.
8_murik_8 [283]

Answer:The perimeter =12w

Step-by-step explanation:

Let the width represent W and Length represent L

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Since perimeter =2(L+w)

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1 year ago
Assume that the cheetah travels an average of 40 mph to go from its resting place to a rock near a river. On the return trip to
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Answer:

The return trip take 5 minutes 27 seconds

Step-by-step explanation:

Let

x -----> the time it take the cheetah travels to go from its resting place to a rock near a river in hours

y ----> the time it take the cheetah the return trip to its resting place in hours

we know that

The distance from its resting place to a rock near a river is the same that the return trip

The average speed multiplied by the time is equal to distance

so

The total time is 15 minutes

Convert to hours

15 min=15/60 hours

x+y=(15/60)

x+y=1/4

4x+4y=1 -----> equation A

40x=70y ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point ( 0.1591,0.0909)

see the attached figure

The time it take the cheetah travels to go from its resting place to a rock near a river is 0.1591 hours

The time it take the cheetah the return trip to its resting place is 0.0909 hours

Convert to minutes and seconds

0.0909 hours=0.0909(60)=5.454 minutes

o.454 minutes=0.454(6)=27.24 seconds

therefore

The return trip take 5 minutes 27 seconds

<u><em>To the river</em></u>

The time it take the cheetah travels to go from its resting place to a rock near a river is 0.1591 hours

The rate is 40 mph

To find out the distance multiply the average rate by the time

<em>Find out the distances</em>

The distance from its resting place to a rock near a river is

d_1=40x=40(0.1591)=6.36\ miles

<u><em>From the river</em></u>

The time it take the cheetah the return trip to its resting place is 0.0909 hours

The rate is 70 mph

To find out the distance multiply the average rate by the time

<em>Find out the distances</em>

The distance of the return trip is

d_2=70x=70(0.0909)=6.36\ miles

Both distances are the same

8 0
3 years ago
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