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3 years ago

Which of the following are solutions to the equation below?

1 answer:

5 0

There are several ways in which we could answer this question. My choice is to actually solve the given quadratic equation, x^2 + 4x + 4 = 12.

Note that x^2 + 4x + 4 is a perfect square. Thus,

x^2 + 4x + 4 = 12 is the same as (x+2)^2 = 12, so that

x+2 = plus or minus √3*√4, or plus or minus 2√3.

Thus, the two real, unequal roots are

x = -2 + 2√3 and x = -2 - 2√3. These correspond to answer choices C and E.

You might be interested in

Find the tenth term in the sequence

attashe74 [19]

Answer: The tenth term in the sequence is 512.

Step-by-step explanation:

Since we have given that

$a_n=2^{n-1}$

We need to find the tenth term:

It means n = 10

So, it becomes

$a_{10}=2^{10-1}\\\\a_{10}=2^9\\\\a_{10}=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\\\\a_{10}=512$

Hence, the tenth term in the sequence is 512.

4 0

3 years ago

Sam cut a flat wooden board into fourths. He used three of the pieces as backgrounds for posters. He used equal pieces of the le

grandymaker [24]

To answer this question you would start with 1 whole piece and break it into 4 equal pieces. Each piece would be 1/4 of the original.

If you used 3 of these, you are left with 1/4.

Out of the 1/4 leftover, you create 5 equal-sized pieces.

1/4 divided by 5.
1/4 x 1/5 = 1/20 of the original board for each.

8 0

3 years ago

Help me please i need some help.

e-lub [12.9K]

True. they are both x so they are like terms

7 0

3 years ago

Read 2 more answers

The equation of the line in slope intercept is y-mx + b where m is y intercept?

barxatty [35]

Answer:

False

Step-by-step explanation:

B is the y-intercept.

7 0

3 years ago

Solve the following system of equations using substitution:

iragen [17]

Answer:

x = -1

y = 2

Step-by-step explanation:

y = x+3

x+2y = 3

substitute y

x+2(x+3) = 3

simplify

3x+6 = 3

subtract 6 from both sides

3x = -3

x = -1

y = -1+3 = 2

6 0

3 years ago