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Arturiano [62]
3 years ago
13

What are the solutions of x^2-2x+37=0?

Mathematics
1 answer:
blsea [12.9K]3 years ago
3 0

Answer:

Answer is x=1+6i x=1-6i

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
3 years ago
Read 2 more answers
What the percent of 160 is 56? Use the bar model
kow [346]

Answer:

35%

Step-by-step explanation:

See attached for visual

  • 160= 8*20
  • 8 = 1/20 = 5% of 160
  • 56= 8*7
  • 7*5% = 35%

56 is 35% of 160

8 0
3 years ago
Given the system of equations: 2x – y = –2 x = 14 2y
SSSSS [86.1K]
If you would like to solve the system of equations, you can do this using the following steps:

2x - y = -2
x = 14 + 2y
__________
<span>2x - y = -2
</span>2 * (14 + 2y) - y = -2
28 + 4y - y = -2
28 + 3y = -2
3y = -2 - 28
3y = -30    /3
y = -30/3
y = -10

<span>x = 14 + 2y = 14 + 2 * (-10) = 14 - 20 = -6
</span>
(x, y) = (-6, -10)

The correct result would be <span>(-6, -10).</span>
5 0
3 years ago
If the cone and the square pyramid have the same volume, find the radius of the cross section of the cone. Round your answer to
nikdorinn [45]

Answer: R= 4.91

Pi r^2= 8^2

Pi r^2= 8.7^2

Pi r^2= 75.69

r^2=24.09

R= 4.91

6 0
3 years ago
Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP
dexar [7]
Selections 2, 3, 5, 6 are polynomials.

1 and 4 are not. The coefficients don't have to be integers, but the powers of the variables need to be positive integers. In 1, you have x^-1. in 4, you have x^(1/2).
3 0
3 years ago
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