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elixir [45]
3 years ago
13

What is the value of K in the equation 8 + 2k = 4k + 4

Mathematics
2 answers:
11111nata11111 [884]3 years ago
8 0
8+2k=4k+4
8-4=4k-2k                   I placed the like terms on each side.
4=2k                           Simplify
4/2=k                          Leave the variable a side
2 = k
Viktor [21]3 years ago
4 0
Step 1. Subtract 2k from both sides
8 = 4k + 4 - 2k
Step 2. Simplify 4k + 4 - 2k to 2k + 4
8 = 2k + 4
Step 3. Subtract 4 from both sides
8 - 4 = 2k
Step 4. Simplify 8 - 4 to 4
4 = 2k
Step 5. Divide both sides by 2
4/2 = k
Step 6. Simplify 4/2 to 2
2 = k
Step 7. Switch sides
Your answer is k = 2

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A container contains water at temperature 80 degree celcius. After every 10 minutes, the change in temperature is - 4 degree cel
lilavasa [31]
For this case, the first thing we must do is define variables.
 We have then:
 x: number of minutes
 y: final temperature
 We write then the equation that models the problem:
 y = (-4/10) x + 80

 For y = 20 we have:
 20 = (-4/10) x + 80

 Clearing x:
 (4/10) x = 80 - 20

x = (10/4) * 60

x = 150
 Answer:
 
The temperature of the water will be 20 degree celcius after 150 minutes
4 0
3 years ago
A film student wants to capture a shot of a satellite dish placed at the top of a building. The line of sight between the ground
Vlad1618 [11]

Answer:

34.78 feet

Step-by-step explanation:

1) using the cosine function, I did cos(43)=x/51

This is because cosine is equal to adjacent over hypotnuse

Once I found x, I used the pythagorean theorem to get 34.78 feet

3 0
3 years ago
8x + 5x what is it simplify
Mrac [35]

Answer:

13x

Step-by-step explanation:

you would just add the 2 numbers together and then keep the variable. if you know the variable (if there’s a sheet to go off of) then multiply and add but otherwise it’s just 8 + 5 then add an x. 13x

6 0
2 years ago
Read 2 more answers
Find (a) arc length and (b) Area of a sector.
barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

<u>Formula</u>

\textsf{Arc length}=r \theta

\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta

\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}

<u>Calculation</u>

Given:

  • \theta=\dfrac{5 \pi}{8}
  • r = 15 cm

\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}

\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}

5 0
1 year ago
Find values for c and d that make h(x) continuous.
rewona [7]

By applying the definition of continuity and knowing piecewise functions, we know that the solution to this system of linear equations is c = 10 and d = -8.

<h3>How to make a piecewise function continuous</h3>

According to the <em>functional</em> theory, functions are continuous for a given interval if and only if the function has an only value for each element of the interval. In the case of the <em>piecewise</em> function, we must observe these two conditions:

2 · x = c · x² + d, for x = 1     (1)

4 · x³ = c · x² + d, for x = 2      (2)

Then, we have the following system of linear equations:

c + d = 2      (1b)

4 · c + d = 32     (2b)

The solution to this system of linear equations is c = 10 and d = -8.

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

4 0
2 years ago
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