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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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Answer:

1). t ≥ -\frac{3}{2}

2). k ≥ \frac{16}{3}

3). y < -\frac{1}{2}

4). b > \frac{250}{9}

5). w ≤ 0

Step-by-step explanation:

1). 14(\frac{1}{2}-t)\leq 28

   \frac{14}{14}(\frac{1}{2}-t)\leq \frac{28}{14}

   \frac{1}{2}-t\leq 2

   -t\leq 2-\frac{1}{2}

   -t\leq \frac{3}{2}

   t ≥ -\frac{3}{2}

2). 15k + 11 ≤ 18k - 5

   15k - 18k ≤ -5 - 11

   -3k ≤ - 16

   3k ≥ 16

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3). 44y > 11 + 88y - 22y

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    44y - 66y > 11

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4). \frac{7}{9}(b - 27) > \frac{49}{81}

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7 0
3 years ago
M is the incenter of triangle ABC. Find the lengths of MD and DC. (Look at pic)
Deffense [45]

Answer:

Part 1) MD=9\ units

Part 2) DC=12\ units

Step-by-step explanation:

Step 1

Find the length of MD

we know that

The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle

so

In this problem

MD=ME=MF ------> is the radius of a circle inscribed inside the triangle

we have that

MF=9\ units

therefore

ME=9\ units

MD=9\ units

Step 2

Find the length of DC

we know that

In the right triangle MDC

Applying the Pythagoras theorem

MC^{2} =MD^{2}+DC^{2}

we have

MD=9\ units

MC=15\ units

substitute

15^{2} =9^{2}+DC^{2}

DC^{2}=225-81

DC=\sqrt{144}\ units

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6 0
4 years ago
1.8x+9=-5.7x=6 what is the answer
Jobisdone [24]

Answer:

x=2

Step-by-step explanation:

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3 years ago
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