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Natalka [10]
2 years ago
7

How do I solve this equation? (-4x+12)^1/2 = x

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
6 0

(-4x+12)^{1/2}=x\\\sqrt{-4x+12}=x\\\\D:-4x+12\geq0\wedge x\geq0\\D:4x\leq12\wedge x\geq0\\D:x\leq3\wedge x\geq0\\D:x\in\langle0,3\rangle\\\\\sqrt{-4x+12}=x\\-4x+12=x^2\\x^2+4x-12=0\\x^2-2x+6x-12=0\\x(x-2)+6(x-2)=0\\(x+6)(x-2)=0\\x=-6 \vee x=2\\\\-6\not \in D\\\\\boxed{x=2}

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A 3 foot stick is broken into two pieces. The ratio of the
nikdorinn [45]

Answer:

The first piece is 15 in and the second piece is 21 in

Step-by-step explanation:

5 + 7 = 12

3 ft = 3 x 12 in = 36 in

36 ÷ 12 = 3

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The first piece is 15 in and the second piece is 21 in

8 0
3 years ago
How do you Find 15% of 15% of 15% of 500? How does this compaare to 45% of 500?
aev [14]
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4 years ago
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scZoUnD [109]
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3 years ago
The perimeter of the triangular park shown on the right is 13x-4. What is the missing length?
Otrada [13]

By using what we know about polynomials, we will see that the missing side measures 8x - 1

<h3 /><h3>How to get the perimeter of a triangle?</h3>

The perimeter of a triangle is just the sum of its 3 sides, in the image the two known sides are: 3x - 5 and x + 2, and the missing side measures p(x).

Then we will have that the perimeter is the sum of these 3 lengths:

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Now we can assume that p(x) is also a linear polynomial, so:

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Then we have:

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This means that:

5 + a = 13

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Solving these we get:

a = 13 - 5 = 8

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This means that the missing length is:

p(x) = 8x - 1

If you want to learn more about polynomials, you can read:

brainly.com/question/4142886

5 0
2 years ago
Which number is between 0.5 and 5/8 ?<br><br> 3/11 <br> 1/11 <br> 12/45 <br> 7/45
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We are asked to determine the number that is between 0.5 and 5/8. In this case, 0.5 is equal 1/2. To find the number in between, we find the average of the two numbers. The LCD of 2 and 8 is is 8 so 1/2 is equal to 4/8. 4/8  + 5/ 8 is equal to 9/8. 1/2 of 9/8 is equal to 9/16. 
8 0
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