−cz+6z=tz+83 solve for z

2 answers:

5 0

To answer this item, we combine all terms involving the variable z to only one side of the equation. All else will be placed on the other side of the equation. This is as follows,

-cz + 6z = tz + 83

Transposing,
-cz - tz + 6z = 83

Factoring z out,
z(-c - t + 6) = 83

Dividing the equation such that z will be left on one side of the equation,

<em> z = 83 / (-c - t + 6)</em>

alexgriva [62]3 years ago

5 0

Answer:

z = 83 / (-c - t + 6)

Step-by-step explanation:

Correct answer on Khan Academy

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Katarina [22]

Answer:

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$