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Mars2501 [29]
3 years ago
9

Solve. x² + 6x + 9 = 12 (Choices in photo)

Mathematics
2 answers:
Irina18 [472]3 years ago
6 0
X^2 + 6x + 9 = 12

X^2 + 6x - 3 = 0

(-6 ± <span>√(6^2 - 4*1*-3) ) / 2

3 </span>± √(48) / 2<span>

</span>3 ± 4√(3) / 2

3 ± 2√(3)
jeyben [28]3 years ago
6 0
To solve this problem and to calculate the value of the variable "x", you must apply the following proccedure:

 1. You have the quadratic equation:
<span>
 x²+6x+9=12

 2. Then:

 </span>x²+6x+9-12=0
 x²+6x-3=0
<span>
 3. You must apply the quadratic formula, which is:

 (-b±√(b^2-4ac))/2a

 a=1
 b=6
 c=-3

 4. Then, the result is:

 x=-3</span>±2√3
<span>
 Therefore, the correct option is the first one: </span>x=-3±2√3
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A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action, 4 comedies, 3 d
azamat

Answer:

<h2>32/1125</h2>

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/Total outcome.

If a video rental store keeps a list of their top 15 movie rentals each week, the total outcome is 15.

If the list for the week includes 6 action, 4 comedies, 3 dramas, and 2 mysteries and the store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store, the probability that she selected 2 comedies and 1 action movie will be calculated as shown;

Probability of selecting 2 comedies  = 4/15*4/15 = 16/225 (Note that the expected outcome in this case is 4).

Probability of selecting 1 action movie = 6/15 = 2/5

<em>Hence, the probability that she selected 2 comedies and 1 action movie will be equivalent to 16/225*2/5 = 32/1125</em>

<em>Note that the rented movies will have to be returned hence reason for the replacement. </em>

8 0
3 years ago
Length of two sides of a triangle is given as 4cm and 4cm which triangle is this​
My name is Ann [436]

Answer:

isosceles triangle

Step-by-step explanation:

two equal sides. is this the question only?

6 0
3 years ago
Read 2 more answers
(Refer to the attached image)​
DENIUS [597]
<h3>Answer:  9 meters</h3>

===========================================

Work Shown:

  • side a = 8
  • side b = 5
  • angle C = 88 degrees

Applying the law of cosines

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 8^2 + 5^2 - 2*8*5*cos(88)

c^2 = 64 + 25 - 80*cos(88)

c^2 = 86.2080403

c = sqrt(86.2080403)

c = 9.2848285

c = 9

Technically he needs 10 meters of rope because of the extra 0.28 portion, but I'll stick with 9 meters since your teacher said to round to the nearest whole number.

5 0
2 years ago
Prove that<br> cos^4∆ - sin^4∆ = 2cos^2∆ - 1
GarryVolchara [31]

\cos^{4} x-\sin^{4} x\\\\=(\cos^{2} x+\sin^{2} x)(\cos^{2} x-\sin^{2} x)\\\\=\cos^{2} x-\sin^{2} x\\\\=\cos^{2} x-(1-\cos^{2} x)\\\\=2\cos^{2} x-1

3 0
2 years ago
Can someone explain why the answer is True. Will make brainliest.
MrRissso [65]

Answer:

True

Step-by-step explanation:

With Sin and Cos, the rule is that the opposites are the same:

SinA=CosB

CosB=SinA

In this problem, it is showing SinA=cosB, so it is the same, it is true.

Hope this helps!

8 0
3 years ago
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