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3 years ago

Which value is a solution of the equation 85= 120-w?

Mathematics

2 answers:

Ronch [10]3 years ago

8 0

$85=120-w\\85-120=120-w-120\\-35=-w\\\frac{-35}{-1}=\frac{-w}{-1}\\35=w$

w = 35

Arlecino [84]3 years ago

3 0

120-85=35
therefore 120-35 = 85
w=35

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What is true about the solution above.

Masja [62]

ANSWER

$x = \pm \sqrt{3}$

and they are actual solutions.

EXPLANATION

The given equation is:

$\frac{ {x}^{2} }{2x - 6} = \frac{9}{6x - 18}$

Cross multiply

${x}^{2} (6x - 18) = 9(2x -6 )$

This implies;

${x}^{2} (6x - 18) - 9(2x - 6) = 0$

$3{x}^{2} (2x - 6) - 9(2x - 6) = 0$

Factor

$(3 {x}^{2} - 9)(2x - 6) = 0$

$3 {x}^{2} - 9 = 0 \: or \: 2x - 6= 0$

$3 {x}^{2} = 9 \: or \: 2x = 6$

${x}^{2} = 3\: or \: x = 3$

${x} = \pm \sqrt{3} \: or \: x = 3$

The domain of the given equation is

$x \ne3$

Therefore the actual solutions are

$x = \pm \sqrt{3}$

NB: x=3 is not in the domain of the given equation. It cannot be an extraneous solution.

7 0

3 years ago

How are slopes and y intercepts to the number of solutions of a system of the liner

Leona [35]

We assume a linear system with 2 variables.

If the slopes are the same, and y-intercepts are different, there are 0 solutions.

If the slopes are different, there is 1 solution.

If the slopes are the same, and the y-intercepts are the same, there are ∞ solutions.

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4 years ago

A rectangular picture frame has outside dimensions of 8 inches wide and 10 inches tall. If the glass on the picture frame has an

Leto [7]

Answer:

1 inch

Step-by-step explanation:

If we call the thickness of the frame x, then the dimensions of the glass are:

w = 8 − 2x

h = 10 − 2x

The area of the glass is width times height:

48 = (8 − 2x) (10 − 2x)