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cestrela7 [59]
2 years ago
9

17.

Mathematics
2 answers:
Hitman42 [59]2 years ago
8 0
<h3>Solution:</h3>

Using formula (a-b)^2 = a^2-2ab+b^2

4x^{2}  - 12x + k \\  =  > (2x) ^{2}  - 2(2x)(3) +  {3}^{2}  \\  \\  =  >  {(2x)}^{2}  - 2(2x)(3) + 9

<h3>Answer:</h3>

k = 9

vagabundo [1.1K]2 years ago
4 0

Answer:

Using formula (a-b)^2 = a^2-2ab+b^2

4x 2 −12x+k

=>(2x) 2 −2(2x)(3)+3 2

=>(2x) 2 −2(2x)(3)+9

=> k = 9

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Two poles are connected by a wire that is also connected to the ground. The first pole is 18 ft tall and the second pole is 24 f
9966 [12]

Answer:

  72 feet from the shorter pole

Step-by-step explanation:

The anchor point that minimizes the total wire length is one that divides the distance between the poles in the same proportion as the pole heights. That is, the two created triangles will be similar.

The shorter pole height as a fraction of the total pole height is ...

  18/(18+24) = 3/7

so the anchor distance from the shorter pole as a fraction of the total distance between poles will be the same:

  d/168 = 3/7

  d = 168·(3/7) = 72

The wire should be anchored 72 feet from the 18 ft pole.

_____

<em>Comment on the problem</em>

This is equivalent to asking, "where do I place a mirror on the ground so I can see the top of the other pole by looking in the mirror from the top of one pole?" Such a question is answered by reflecting one pole across the plane of the ground and drawing a straight line from its image location to the top of the other pole. Where the line intersects the plane of the ground is where the mirror (or anchor point) should be placed. The "similar triangle" description above is essentially the same approach.

__

Alternatively, you can write an equation for the length (L) of the wire as a function of the location of the anchor point:

  L = √(18²+x²) + √(24² +(168-x)²)

and then differentiate with respect to x and find the value that makes the derivative zero. That seems much more complicated and error-prone, but it gives the same answer.

7 0
3 years ago
Simplify. 8u+9v+3u−5v
musickatia [10]
Combine like terms
8u+3u= 11u
and
9v-5v= 4v
So the answer is 11u+4v
8 0
3 years ago
Here is an illustration of a bedroom. The striped wall and the floor<br> intersect at a
-Dominant- [34]

The striped wall and the floor intersect at a 90 degrees angle since they are perpendicular.

<h3>What is an angle?</h3>

An angle is formed when two or more lines intersect at a point. Types of angles are<em> acute, obtuse, and right angled</em>.

Two lines are said to be perpendicular if there is a 90 degrees angle between them.

The striped wall and the floor intersect at a 90 degrees angle since they are perpendicular.

Find out more on angle at: brainly.com/question/25716982

#SPJ1

5 0
2 years ago
Lillian built a staircase out of blocks. She used 3 blocks to make the first step, 6 blocks to make the second step and 9 blocks
sashaice [31]

Answer:

30

Step-by-step explanation:

if you take 3+6+9+12 you get 30

7 0
3 years ago
Read 2 more answers
Question 4 (1 point)
LenKa [72]
The Answer to your question I believe is False…

I hope this helped
5 0
2 years ago
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