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iren [92.7K]
3 years ago
11

Which equations have the same pair of solutions? Select all that apply.

Mathematics
2 answers:
Firlakuza [10]3 years ago
6 0
2,3,1 I think that is right
Marta_Voda [28]3 years ago
3 0

Answer:

1 and 4 has same pairs of solution.        

Step-by-step explanation:

Solutions for the given equations are:

1. (x+6)(x - 6) = 0\\(x+6) = 0, (x-6) = 0\\x = -6, x = 6\\\\2. (x + 6)(x + 6) = 0\\(x+6) = 0, (x+6) = 0\\x = -6, x = -6\\\\3. (x - 6)(x - 6) = 0\\(x-6) = 0, (x-6) = 0\\x = 6, x = 6\\\\4. (2x + 12)(2x - 12) = 0\\(2x+12) = 0, (2x-12) = 0\\x = -6, x = 6\\\\5. (2x - 12)(x - 12) = 0\\(2x-12) = 0, (x-12) = 0\\x = 6, x = 12\\\\6. (x+12)(x - 12) = 0\\(x+12) = 0, (x-12) = 0\\x = -12, x = 12\\\\7. (x +12)(x-6) = 0\\(x+12) = 0, (x-6) = 0\\x = -12, x = 6

(x+6)(x - 6) = 0 and (2x + 12)(2x - 12) = 0 have same pair of solutions.

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A rectangular block of metal is 0.24 m long, 0.19 m wide and 0.15 m high. If the metal block is melted to form a cube, find the
DanielleElmas [232]
<h3>Answer: approximately 0.19 meters long</h3>

The more accurate value is 0.18982439916059 but this value isn't exact

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

Explanation:

The volume of this rectangular block is 0.24*0.19*0.15 = 0.00684 cubic meters.

If we had a cube of this volume, then it has some side length x such that x^3 = 0.00684

Apply the cube root to both sides. This is the same as raising both sides to the 1/3 power

x^3 = 0.00684\\\\x = \sqrt[3]{0.00684}\\\\x = (0.00684)^{1/3}\\\\x \approx 0.18982439916059\\\\x \approx 0.19\\\\

The side length of the cube is approximately 0.19 meters long

7 0
3 years ago
What is the value of x?
jek_recluse [69]

Answer:

25

Step-by-step explanation:

8 0
2 years ago
3. Simplify the following expression<br> 2a(a+3)-4a4a-7)
LiRa [457]

Answer:

-14a^2+6a-7

Step-by-step explanation:

8 0
3 years ago
What is the length of Line segment B C? 9 units 11 units 15 units 16 units
denpristay [2]

Answer:

15 units

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

In the right triangle ABC

Applying the Pythagorean Theorem

AB^2=AC^2+BC^2

we have

AB=17\ units\\AC=8\ units

substitute the given values

17^2=8^2+BC^2

solve for BC

289=64+BC^2\\BC^2=289-64\\BC^2=225\\BC=15\ units

3 0
3 years ago
Read 2 more answers
Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s
Svetlanka [38]

Answer: 6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}

Step-by-step explanation:

Given

Quadratic equation is

x^2-12x+15=0

Solving by completing the square method

\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}

The solution set of the equation is 6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}

6 0
2 years ago
Read 2 more answers
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