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Zigmanuir [339]
3 years ago
10

When attempting to do his homework, Mark incorrectly uses the addition property of equality below. Which

Mathematics
1 answer:
VikaD [51]3 years ago
8 0
The correct answer is b
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The length of a rectangle is represented by L. If the width of the rectangle is one-half of its length, represent its width.
Digiron [165]

Answer:

L/2

Step-by-step explanation:

If the width is half of its length, that means it is 1/2*L, as L is the length. This can be simplified into L/2, which is our answer.

5 0
2 years ago
Read 2 more answers
The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find
Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, h=0,  k=35, x=8, y=21

We know that, the general equation of the parabola.

   y-k = a(x-h)^2

\Rightarrow y=a(x-h)^2+k  .........(i)

Substitute the  value of h, k, x, y in equation (i) and find the value of a.

  21=a(8-0)^2+35

\Rightarrow 21=a\times 8^2+35

\Rightarrow 21=64a+35

\Rightarrow 64a=21-35

\Rightarrow 64a=-14

\Rightarrow a=\frac{-14}{65}

\Rightarrow a=-0.215

Hence, the equation of the parabola is:

y=-0.215x^2+35

8 0
2 years ago
Which expression is equivalent to (7 + 2i)(-3 - 4i)?
malfutka [58]
B -13 -34i

(7 + 2i)(-3 - 4i)
Take the 7 then times it buy the second bracket 7x(-3-4i) then take 2i from the first bracket and times it with the second bracket 2ix (-3-4i)

Then keep simplifying
5 0
2 years ago
Determine the length of the longest metal rod which could be stored in a rectangle box 20 cm by 50 cm by 30 cm.
navik [9.2K]

Answer:

61.64 cm

Step-by-step explanation:

The longest metal rod which could be stored in a rectangular box will be equal to its diagonal:

\therefore \: length \: of \:metal \: rod  \\  =  \sqrt{ {l}^{2} +  {b}^{2}   +  {h}^{2} }  \\  =  \sqrt{ {20}^{2} +  {50}^{2}  +  {30}^{2}  }  \\  =  \sqrt{400 + 2500 + 900}  \\  =  \sqrt{3800}  \\  = 61.64414 \\  = 61.64 \: cm

5 0
3 years ago
Read 2 more answers
The data in the table represent the height of an object over
Arada [10]

<u>Answer:</u>

The correct answer option is quadratic, because the height increases and then decreases.

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

We are given the following data in the table which represents the height of an object over  time:

Time (s)          Height (ft)

     0                      5

      1                     50

     2                     70

     3                     48

We know that in situation where the values increase and then decreases, a quadratic model is used.

From the values given in the table, we can see that the values of height first increased and then decreased with the increase in time.

Therefore, the model used is quadratic, because the height increases and then decreases.

5 0
3 years ago
Read 2 more answers
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