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mylen [45]
3 years ago
9

Z+w−3=k 6z−10w=8 ​ ​

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
6 0

Answer:

if your looking for z it is 5/8k+2.375

Step-by-step explanation:

madam [21]3 years ago
5 0

Answer:

Step-by-step explanation:

Please, include the instructions.

I'm assuming you want to solve this system of linear equations for z and w, assuming that k is an unknown constant.

Use the method of elimination by addition and subtraction.  To eiiminate w, multiply all four terms of the first equation by 10, obtaining:

10 z + 10w - 30 = 10k

6z   - 10 w        = 80

Then 16z - 30 - 80 = 10k, or

16z  -110 = 10k,  Simplifying this, we get:

     

      10(k + 11)  

z = ---------------

            16

Substituting this expression for z into the first equation, we get:

(10/16)(k + 11) + w - 3 = k.  We must solve this for w:

-(10/16)(k + 11) + w - 3 = k), or

-(10/16)(k + 11) - w + 3 = -k

Then -(10/16)(k + 11) + 3 + k = w

and so the solution, in terms of the unknown constant k, is

      10(k + 11)  

(     --------------,  -(10/16)(k + 11) + 3 + k   )

            16

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A weight suspended by a spring vibrates vertically according to the function D D given by D(t)=2sin(4π(t+18)) D ( t ) = 2 sin (
STALIN [3.7K]

Answer:

21.75 cm/s

Step-by-step explanation:

1 cm above central position means D = 1, so we plug in 1 into D(t) and find the time and which this occurs.

D(t)=2Sin (4\pi(t+18))\\1=2Sin (4\pi(t+18))\\\frac{1}{2}=Sin(4\pi t +72\pi)\\4\pi t + 72 \pi = \frac{\pi}{6}\\4\pi t = \frac{\pi}{6}-72\pi\\t=\frac{\frac{\pi}{6}-72\pi}{4\pi}

This is the time at which this occurs.

To find instantaneous rate of change, we differentiate D(t) and plug in this t we found. Remembering that d/dt (Sin t) = Cos t

D(t)=2Sin (4\pi(t+18))\\D(t)=2Sin(4\pi t + 72\pi)\\D'(t)=2Cos(4\pi t + 72\pi)(4\pi)

Now putting t:

D'(t)=2Cos(4\pi t + 72\pi)(4\pi)\\D'(\frac{\frac{\pi}{6}-72\pi}{4\pi})=2Cos(4\pi (\frac{\frac{\pi}{6}-72\pi}{4\pi}) + 72\pi)(4\pi)\\=8\pi Cos(\frac{\pi}{6})\\=21.75

Thus, the instantaneous rate would be around 21.75 cm/s

8 0
3 years ago
SOMEONE PLZZZ ANSWER THIS IM VERY BAD AT THIS!!
Furkat [3]

Answer:

Step-by-step explanation:

A. Linear- the add up to 180

B. 3x-5+2x+3+4x+2=180

   9x=180

    x=20

C. plug x in

   ABD- 55, DBK- 82, KBC- 43

7 0
3 years ago
2x+1=2x-1 solve for x and show work plz
Kisachek [45]

Answer:

This is not an equation because both sides are not equal.

Step-by-step explanation:

2x+1=2x-1

+1          +1

2x+2=2x

-2x        -2x

2=0

5 0
3 years ago
Read 2 more answers
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
maxonik [38]

Answer:

Answer: A = (x + 20)(x + 10) − 12 is the correct answer

Step-by-step explanation:

We would take the length and width of the patio and subtract it by the area that does not need to be painted.

I got this right on the test!

Read more on Brainly.com - brainly.com/question/15992704#readmore

Step-by-step explanation:

3 0
3 years ago
Find a positive real number such that its square is equal to 6 times the number increased by 84
Anestetic [448]
6x+84 I think hope this helps
3 0
3 years ago
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