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3 years ago

Value of the underlined of 56

Mathematics

2 answers:

Elodia [21]3 years ago

5 0

Anyway, the value of 5 is 50 and the value of 6 is 6 as in the ones place.

nikitadnepr [17]3 years ago

5 0

The value of 5 is 5×10=50and the 6 is 6×1=6in the ones

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Complete the steps of derivation of the quadratic formula

Stells [14]

Step 1. We are going to begin with standard form a quadratic equation: $ax^2+bx+c=0$

Step 2. Divide both sides of the equation by $a$ :
$\frac{ax^2+bx+c}{a} = \frac{0}{a}$
$\frac{ax^2}{a} + \frac{bx}{c} + \frac{c}{a} =0$
$x^{2} + \frac{b}{a} x+ \frac{c}{a} =0$

Step 3. Subtract $\frac{c}{a}$ from both sides of the equation:
$x^{2} + \frac{b}{a} x+ \frac{c}{a}- \frac{c}{a} =0 - \frac{c}{a}$
$x^{2} + \frac{b}{a} x=- \frac{c}{a}$

Step 4. Complete the square of the left hand side by adding $( \frac{b}{2a} )^2$ to both sides:
$x^{2} + \frac{b}{a} x+( \frac{b}{2a} )^2=- \frac{c}{a} +( \frac{b}{2a} )^2$
$(x+ \frac{b}{2a} )^2=- \frac{c}{a} +( \frac{b}{2a} )^2$

Step 5. Take square root to both sides of the equation:
$\sqrt{(x+ \frac{b}{2a} )^2} =+/- \sqrt{- \frac{c}{a} +( \frac{b}{2a} )^2}$
$x+ \frac{b}{2a}=+/-\sqrt{- \frac{c}{a} +( \frac{b}{2a} )^2}$

Step 6. Subtract $\frac{b}{2a}$ from both sides of the equation:
$x+ \frac{b}{2a}- \frac{b}{2a} =- \frac{b}{2a} +/-\sqrt{- \frac{c}{a} +( \frac{b}{2a} )^2}$
$x=- \frac{b}{2a} +/-\sqrt{- \frac{c}{a} +( \frac{b}{2a} )^2}$

Step 7. Simplify the radicand of the left hand side of the equation:
$x=- \frac{b}{2a} +/-\sqrt{- \frac{c}{a} + \frac{b^2}{(2a)^2}}$
$x=- \frac{b}{2a} +/-\sqrt{- \frac{c}{a} + \frac{b^2}{4a^2}}$
$x=- \frac{b}{2a} +/-\sqrt{- \frac{4ac}{4a^2} + \frac{b^2}{4a^2}}$
$x=- \frac{b}{2a} +/-\sqrt{- \frac{4ac+b^2}{4a^2} }$

Step 8. Take $4a^2$ outside the radical:
$x=- \frac{b}{2a} +/- \frac{ \sqrt{-4ac+b^2} }{ \sqrt{4a^2} }$
$x=- \frac{b}{2a} +/- \frac{ \sqrt{-4ac+b^2} }{2a} }$

Step 9. Combine the two fractions and <span>rearrange</span> the terms in the radical:
$x= \frac{-b+/- \sqrt{b^2-4ac} }{2a}$

3 0

3 years ago

Write an equation in point-slope form of the line having the given slope that contains the given point. m=5/6m=5/6m (30,12)(30,1

Eva8 [605]

Sorry, I don't clear the question

7 0

3 years ago

HELP QUICK which function has the greater rate of change

kati45 [8]

Answer:

Function A i think.....

Step-by-step explanation:

5 0

2 years ago

Which of the following is equal to the expression below?

GuDViN [60]

256/3.hope this helps

6 0

2 years ago

The equation 2x² + 2y2 – 8x - 12y + 16 = 0 defines a circle.

mixas84 [53]

Answer:

C, E

Step-by-step explanation:

Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.

The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...

x² +y² -4x -6y +8 = 0

Subtracting 8 puts us in better position to complete the squares.

x² +y² -4x -6y = -8

Now, we can add the squares of half the coefficients of the linear terms.

(x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C

And we can simplify this to the standard form equation:

(x -2)² +(y -3)² = 5 . . . . . matches E

3 0

2 years ago