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Sergeu [11.5K]
2 years ago
7

Give the values of a, b, and c from the general form of the equation (2x + 1)(x - 2) = 0.

Mathematics
1 answer:
balandron [24]2 years ago
7 0

(2x+1)(x-2) = 0

Multiplying the factors we obtain:

2x\cdot x+2x\cdot (-2)+1\cdot x+1\cdot (-2)=0

2x^2-4x+x-2=0

2x^2-3x-2=0

The general form of quadratic equation is:

ax^2+bx+c=0

Therefore,

a=2

b=-3

c=-2

The correct answer is the first one.

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Step-by-step explanation:

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ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).

<em><u>Recall:</u></em>

  • A segment that divides an angle into equal parts is known as an angle bisector.
  • Two triangles are congruent by the ASA Congruence Theorem if they share a common side and have two pairs of congruent angles.

In the diagram given, Angle bisector, GE, divides ∠HEF into congruent angles,  ∠HEG ≅ ∠GEF.

Also divides ∠FGH into congruent angles, ∠HGE ≅ ∠FGE.

Both triangles also share a common side, GE

<em>This implies that: ΔHGE and ΔFGE have:</em>

two pairs of congruent angles - ∠HEG ≅ ∠GEF and ∠HGE ≅ ∠FGE

a shared side - GE

Therefore, ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).

Learn more about ASA Congruence Theorem on:

brainly.com/question/82493

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Step-by-step explanation:

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