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kakasveta [241]
3 years ago
7

If Jon needs to find the value of cos P in △PQR , which of the following ratios should he use?

Mathematics
1 answer:
viva [34]3 years ago
4 0

Answer:

Pr/ok

Step-by-step explanation:

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9(k-4)-7k=32-2(k-8)
IrinaK [193]

Answer: k=21

Step-by-step explanation:

1. Distribute the 9 to the k and the -4 in the parentheses.

9 · k = 9k and 9 · -4 = -36

You now have 9k - 36 - 7k. You can combine the like terms of 9k and -7k and get 2k, giving you 2k - 36.

2. For the other side of the equation, you also distribute -2 to the k and -8 in the parantheses.

-2 · k = -2k and -2 · -8 = 16

You now have 32 - 2k + 16. Combine the like terms 32 and 16 (32 + 16) and you get 48. This gives you the equation 48 - 2k.

3. Now you should have the equation 2k - 36 = 48 - 2k.

You want the k on one side of the equation so you need to cancel out one of them. I cancelled out -2k by adding 2k to it. You also need to add this 2k to your 2k on the other side of the equation.

Ex: 2k - 36 = 48 - 2k

   +2k                +2k

4. Now you should have 4k - 36 = 48. You need to get 4k by itself so cancel out -36 from both sides by adding 36 to -36 and adding 36 to 48.

You should now have 4k = 84 (48 + 36 = 84).

Divide both sides by 4 to get k by itself. 4 divided by 4 makes k and 84 divided by 4 equals 21. This makes k = 21, which is your answer.

   

4 0
2 years ago
Read 2 more answers
Please Help!!
GarryVolchara [31]

Answer:

D:) (2,2,) is the Answer

Step-by-step explanation:

Solve the following system:


{X - 2 Y = -2 | (equation 1)


{3 X - 2 Y = 2 | (equation 2)



Swap equation 1 with equation 2:


{3 X - 2 Y = 2 | (equation 1)


{X - 2 Y = -2 | (equation 2)



Subtract 1/3 × (equation 1) from equation 2:


{3 X - 2 Y = 2 | (equation 1)


{0 X - (4 Y)/3 = (-8)/3 | (equation 2)



Multiply equation 2 by -3/4:


{3 X - 2 Y = 2 | (equation 1)


{0 X+Y = 2 | (equation 2)



Add 2 × (equation 2) to equation 1:


{3 X+0 Y = 6 | (equation 1)


{0 X+Y = 2 | (equation 2)



Divide equation 1 by 3:


{X+0 Y = 2 | (equation 1)


{0 X+Y = 2 | (equation 2)



Collect results:


Answer:  {X = 2 , Y = 2

4 0
3 years ago
Read 2 more answers
What's the steps used to solve modeling problems in the correct order​
Stolb23 [73]

Answer:

see below

Step-by-step explanation:

The first step is to read the problem

Then you need to make a plan

Implement the plan

Then evaluate the answer to see if it makes sense

6 0
2 years ago
Solve the equations for all values of x by completing the square x^2+62=-16x
lorasvet [3.4K]

Answer:

x =  \sqrt{2} - 8\\x =  -\sqrt{2} - 8

Step-by-step explanation:

To complete the square, we first have to get our equation into ax^2 + bx = c form.

First we add 16x to both sides:

x^2 + 16x + 62 = 0

And now we subtract 62 from both sides.

x^2 + 16x = -62

We now have to add (\frac{b}{2})^2 to both sides of the equation. b is 16, so this value becomes (16\div2)^2 = 8^2 = 64.

x^2 + 16x + 64 = -62+64

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because 8\cdot8=64 and 8+8=16.

(x+8)^2 = -62 + 64

We can now take the square root of both sides.

x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}

We can now isolate x on one side by subtracting 8 from both sides.

x = \pm\sqrt{2} - 8

So our solutions are

x =  \sqrt{2} - 8\\x =  -\sqrt{2} - 8

Hope this helped!

4 0
3 years ago
Solve the equation 6x to the 3rd power = -1297 then round answer to two decimal places when appropriate
love history [14]
I got 213 . because 6x6x6. equal 213.
6 0
3 years ago
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