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2 years ago

Solve x^(2)+4x=4 for x by completing the square.

Mathematics

1 answer:

Mama L [17]2 years ago

8 0

Answer:

x = 2 sqrt(2) - 2 or x = -2 - 2 sqrt(2)

Step-by-step explanation:

Solve for x:

x^2 + 4 x = 4

Add 4 to both sides:

x^2 + 4 x + 4 = 8

Write the left hand side as a square:

(x + 2)^2 = 8

Take the square root of both sides:

x + 2 = 2 sqrt(2) or x + 2 = -2 sqrt(2)

Subtract 2 from both sides:

x = 2 sqrt(2) - 2 or x + 2 = -2 sqrt(2)

Subtract 2 from both sides:

Answer: x = 2 sqrt(2) - 2 or x = -2 - 2 sqrt(2)

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In a math class with 28 students, a test was given the same day that an assignment

Kipish [7]

Answer:

Probability that a student who passed the test did not complete the homework = 0.07

Step-by-step explanation:

Given:

Total number of students = 28

Number of students who passed the test = 18

Number of students who completed the assignment = 23

Number of students who passed the test and also completed the assignment = 16

To find: probability that a student who passed the test did not complete the homework

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favorable outcomes/total number of outcomes

Let A denotes the event that students passed the test and B denotes the event that students completed the assignment

P(A only) = $P(A)-P(A\cap B)$

Here,

$P(A)=\frac{18}{28}\,,\,P(A\cap B)=\frac{16}{28}$

So,

$P(A\,\,only)=\frac{18}{28}-\frac{16}{28}=\frac{2}{28}=\frac{1}{14}=0.07$

Therefore,

probability that a student who passed the test did not complete the homework = 0.07

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2 years ago

Which table best shows the impacts resulting from human activity?

pentagon [3]

Answer:

The second one is the best choice UWU

Step-by-step explanation:

The best choice overall is the second one because the effects are negative. Also, the first one has one positive effect while one negative effect.

The best choice overall is the second one...

The best choice isn't the third or the fourth one because the human impacts on the environment are all positive.

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3 years ago

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What’s the scale factor? Please hurry I’m tired and sleep deprived help me I just don’t get it and I want sleep

Doss [256]

In order to find the scale factor we begin by selecting one pair of corresponding sides.

Selecting the base of the triangle

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Base of triangle (AC)' is 7.5 units

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10 months ago

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Arada [10]

Answer:

It should either be 69 or 70

Step-by-step explanation:

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2 years ago

Which of the following sets of number does square of 121 NOT belong

madreJ [45]

Answer:

Step-by-step explanation:

Squaring 121 will still be a real number, a rational number, and an integer. Therefore, it is not an irrational number.

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2 years ago