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Luden [163]
4 years ago
7

Describe how to derive the quadratic formula from a quadratic equation in standard form. edginuity

Mathematics
2 answers:
Sav [38]4 years ago
8 0
Hello,

ax^2+bx+c=a(x^2+ \dfrac{b}{a}x+ \dfrac{c}{a}  )\\

=a(x^2+2* \dfrac{b}{2a}x +( \dfrac{b}{a} )^2- (\dfrac{b}{a} )^2+\dfrac{c}{a})\\

=a((x+ \dfrac{b}{2a} )^2- \dfrac{b^2-4ac}{4a^2} )\\

=a(x+ \dfrac{b}{2a} )^2- \dfrac{b^2-4ac}{4a}

son4ous [18]4 years ago
8 0

Answer:

The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.

Step-by-step explanation:

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cestrela7 [59]

Answer:

8

Step-by-step explanation:

The constant of proportionality bus the amount earned by Ronnie, E, all over the corresponding hours he used in working, h.

Constant of proportionality = \frac{E}{h}

From the graph given, when h = 5, E = 40.

Therefore:

Constant of proportionality = \frac{E}{h} = \frac{40}{5} = 8

4 0
3 years ago
Which fraction is equivalent to 15/30<br> A 3/4<br> B 2/4<br> C 3/5<br> D 5/6
Ratling [72]

Answer:

2/4

Step-by-step explanation:

5 0
4 years ago
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Answer:

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7 0
3 years ago
Any number in the form of a ± bi , where a and b are real numbers and b 0 is considered a pure imaginary number.
Stella [2.4K]
Answer.
1) False
2) False
3) False

Explanation
1) When a number is written as a+bi, a and b are real number. b is never considered as imaginary number.
The statement given is false.


2) The value of i is √(-1), when squared we get;

(√(-1))² = -1.
The answer given is false.

3) It is not possible to graph a complex number is XY coordinates. Complex number are graphed on an imaginary axis and real axis only. 
The statement given is false. 


7 0
4 years ago
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Write two expressions where the solution is 28
Pepsi [2]
20+8=28
16+12=28...
are thus enough
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