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spin [16.1K]
3 years ago
13

Solve x2-14x+21=0 by completing the square

Mathematics
1 answer:
ankoles [38]3 years ago
4 0
x^2-14x+21=0\\\\x^2-2x\cdot7+7^2-7^2+21=0\\\\(x-7)^2-49+21=0\\\\(x-7)^2-28=0\\\\(x-7)^2=28\iff x-7=-\sqrt{28}\ \vee\ x-7=\sqrt{28}\\\\x=7-\sqrt{4\cdot7}\ \vee\ x=7+\sqrt{4\cdot7}\\\\x=7-2\sqrt7\ \vee\ x=7+2\sqrt7
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Use the given equation to find the number<br><br> 1/2x-19.7=-4.1
Leokris [45]

Answer:

the number is 31.2

Step-by-step explanation:

Given that:

1/2x-19.7=-4.1

Adding 19.7 on both sides:

1/2x-19.7 + 19.7=-4.1 + 19.7

1/2x = 15.6

Multiplying both sides by 2:

x = 15.6 * 2

x = 31.2

So the number is 31.2

i hope it will help you!

7 0
3 years ago
Yutaka enjoys running. For every kilometer he runs, he burns 65 calories. He wrote this equation to find how many calories he bu
koban [17]

Answer:

(k): 65k=c   is true  per kilometer he runs,

Step-by-step explanation:

(k): 65k=c   is true     if Yutaka was to walk and burn only 48 calories then k then is x= walk  and y = run   8x+7y>= c      8x+7y>=  8(48) + 7(65) >= 839

5 0
2 years ago
The value of the power (-8) ti the second power is
pochemuha

Answer:

64

-8 to the second power is -8^2 Which is -8×-8 Which gives 64

7 0
3 years ago
$16.000 is deposited into a savings account with an annual interest rate of 2% compounded continuously. How much will be in the
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Answer:

A) $17,332.59

Step-by-step explanation:

$16,000(e^(0.02[or 2%] * 4)) = $16,000(e^0.08)

e^0.08 = 1.08328706767 * $16,000 ≈ $17,332.59

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