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Hunter-Best [27]
2 years ago
9

Solve the equation by completing the square. 0 = 4x2 − 72x

Mathematics
1 answer:
Lyrx [107]2 years ago
6 0

Answer:

B

Step-by-step explanation:

Given

4x² - 72x = 0 ← factor out 4 from each term

4(x² - 18x) = 0

To complete the square

add/subtract (half the coefficient of the x- term)² to x² - 18x

4(x² + 2(- 9)x + 81 - 81) = 0

4(x - 9)² - 4(81) = 0

4(x - 9)² - 324 = 0 ( add 324 to both sides )

4(x - 9)² = 324 ( divide both sides by 4 )

(x - 9)² = 81 ( take the square root of both sides )

x - 9 = ± \sqrt{81} = ± 9 ( add 9 to both sides )

x = 9 ± 9

Then

x = 9 - 9 = 0

x = 9 + 9 = 18

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DochEvi [55]

Answer:

11 hours

Step-by-step explanation:

I came up with this answer by dividing the IV infiltrate in the bag by the rate. This gave the completion time.

Volume of IV infiltrate = 330ML

Rate at which it was running = 30 ML/hour

The IV completion time = volume/rate

= 330 ML/30 ML

= 11 hours

Therefore the IV completion time is 11 hours.

3 0
3 years ago
Let f(x) = 6x-5 and g(x) = 2x-1. Find f • g
tankabanditka [31]

Hi

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3 0
3 years ago
Drag each figure to show if it is similar to the figure shown or why it is not similar.
zhenek [66]

Answer:

Step-by-step explanation:

Similar figures have the same shape but the same size.

Moving from left to right:

The first figure is similar because the ratio is 6:14 which is the same as the figure 3:7.

The second figure is not similar because of shape

The third figure is is not similar because the ratio is 6:12 which is not the same as the figure 3:7

The fourth figure is similar because it is rotated

The fifth figure is not similar because of shape

The sixth figure is not similar because of the ratio of 2:3.5 which is not the same as the figure's ratio of 3:7

5 0
3 years ago
a cube with side lengths s has a volume of 64 cubic units. what is the length of the side of the cube?
Mademuasel [1]

Answer:

4 units

Step-by-step explanation:

volume of cube = 64 cubic units

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6 0
3 years ago
The mean is usually the preferred measure of central tendency, but there are specific situations in which it is impossible to co
sergey [27]

Answer: a. It is commonly referred to as the arithmetic average.

b. It is algebraically defined (that is, there is an equation you can use to calculate its value).

c. It is easily influenced by extreme scores.

Step-by-step explanation:

The mean is also referred to as the "average" and it is gotten by adding every number and the dividing the value gotten by the number of the numbers used for the calculation.

It should be noted that the mean is algebraically defined and can be easily influenced by extreme scores.

4 0
3 years ago
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