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coldgirl [10]
3 years ago
6

Rearrange the equation so u is the independent variable. -12u+13=8w-3 w= ___

Mathematics
2 answers:
Rama09 [41]3 years ago
5 0

Answer:

w = \frac{-12u+16}{8}

Step-by-step explanation:

Reverse the equation placing w on the left side

8w - 3 = - 12u + 13 ( add 3 to both sides )

8w = - 12u + 16 ( divide both sides by 8 )

w = \frac{-12u+16}{8}


suter [353]3 years ago
5 0

Answer:

w = \frac{4-3u}{2}

Step-by-step explanation:

Given equation,

-12u + 13 = 8w - 3

For making u is as an independent variable we need to isolate w,

Add 3  on both sides,

-12u + 13 + 3 = 8w

-12u + 16 = 8w

Divide both sides by 8,

\frac{-12u+16}{8}=w

\frac{4(-3u+4)}{8}=w

\frac{-3u+4}{2}=w

\implies w = \frac{4-3u}{2}

Which is the required equation.

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3 years ago
Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7
WARRIOR [948]

Answer: The equation of the parabola is (x+5)^2=-24(y-1).

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

(x-h)^2=4p(y-k)

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

(h,k+p)=(-5,-5)

On comparing,

h=-5

k+p=-5      .... (1)

The directrix is y=7.

k+p=7       .... (2)

Add equation (1) and (2),

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Put this value in (1).

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Put p= -6, h= -5 and k=1 in the standard form of the parabola.

(x+5)^2=4(-6)(y-1)

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8 0
3 years ago
Read 2 more answers
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