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sleet_krkn [62]
3 years ago
5

Please give a step-by-step solution of 2x^2 +12x = 6 (by completing the square)

Mathematics
1 answer:
sp2606 [1]3 years ago
6 0

Answer:

x = - 3 ± 2\sqrt{3}

Step-by-step explanation:

Given

2x² + 12x = 6 ( divide through by 2 )

x² + 6x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 3 + 9

(x + 3)² = 12 ( take the square root of both sides )

x + 3 = ± \sqrt{12} = ± 2\sqrt{3} ( subtract 3 from both sides )

x = - 3 ± 2\sqrt{3} ← exact solutions

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Step-by-step explanation:

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If three pounds of apples costs $5.25, how much will 10 pounds<br> cost?
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Step-by-step explanation:

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This one is hard for me so can anyone plz help me
nirvana33 [79]

Answer: The distance between a and c is 8 units

Step-by-step explanation:

You can count the number of units they are apart, but if there isn’t a grid, then do this:

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7 0
3 years ago
Which postulate or theorem proves that these two triangles are congruent?
gulaghasi [49]

Answer:

Option (B)

Step-by-step explanation:

From the given picture,

Given:

Two lines PM and QR are intersecting each other at a point N.

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NR ≅ QN

To prove:

ΔMNR ≅ ΔPNQ

              Statements                               Reasons

1). NR ≅ QN                                 1). Given

2). ∠NMR ≅ ∠NPQ                     2). Given

3). ∠MNR ≅ ∠PNQ                     3). Definition of vertical angles

4). ΔMNR ≅ ΔPNQ                     4). AAS theorem of congruence

Therefore, Option (B) will be the correct option.

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4 years ago
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What is the radius of the circle? 
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