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stealth61 [152]
3 years ago
5

A portion of the Quadratic Formula proof is shown. Fill in the missing reason.

Mathematics
1 answer:
hram777 [196]3 years ago
8 0

Answer:

see the procedure

Step-by-step explanation:

we have

ax^2+bx+c=0 ----> given

step 1

Subtract c from both sides of the equation

ax^2+bx+c-c=-c

ax^2+bx=-c

step 2

Factor the leading coefficient a

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

step 3

Complete the square and add to both sides

a(x^2+\frac{b}{a}x+(\frac{b^2}{4a^2}))=-c+\frac{b^2}{4a}

step 4

Divide both sides of the equation by a

(x^2+\frac{b}{a}x+(\frac{b^2}{4a^2}))=-\frac{c}{a}+\frac{b^2}{4a^2}

step 5

Find a common denominator on the right side of the equation  and adds the fractions together on the right side of the equation

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

step 6

Rewrite the perfect square trinomial as a binomial squared on the left side of the equation

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

step 7

Take the square root of both sides of the equation

(x+\frac{b}{2a})=\pm\frac{\sqrt{b^2-4ac}}{2a}

step 8

Subtract both sides of the equation by the term b/2a

x=-\frac{b}{2a}\pm\frac{\sqrt{b^2-4ac}}{2a}

step 9

Rewrite the final expression

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

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katen-ka-za [31]

Answer:

A parabola is the set of all points equidistant from the directrix and focus.

The line of symmetry intersects the focus and directrix

The line of symmetry and the directrix are perpendicular

Step-by-step explanation:

A parabola is the set of all points in a plane that are equidistant from a fixed point (focus) and a line (directrix).

The fixed line of a parabola is known as the directrix of the parabola.

The line of symmetry is a line that passes through the focus and is perpendicular to the directrix. The line of symmetry divides the parabola.

The directrix of a parabola does not intersect touch the parabola

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3 years ago
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podryga [215]

We will get the number of possible selections, and then subtract the number less than 25 cents.

We can choose the number of dimes 5 ways 0,1,2,3 or 4.
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Now we must subtract from the 60 the number of selections of coins that are less than 25 cents. These will involve only dimes and nickels. 

To get a selection of coin worth less than 25 cents:
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3 years ago
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Yakvenalex [24]

Answer:

w= 6

Step-by-step explanation:

I just started by making an educated guess using the values already given. Then I inserted that into the problem to see if it worked.

L= 2w - 5

I used 6 as a random, educated guess for the value of w.

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Then, multiply L by 2 to account for both side lengths of the rectangle.

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26 - 14 = 12

Divide that answer by 2 since there are two sides for width.

12/2 = 6

I know this was kind of long, but I hope it helps! :)

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The answer is 15.
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