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2 years ago

What does x equal in the equation 2x + y - 3z equals -12

Mathematics

1 answer:

lidiya [134]2 years ago

8 0

2x+y-3z=12

2x=4z-y

x=2z-y/2

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15. Construct the slope-intercept form equation of the line passing through (-5,23) and (10,-5).

Radda [10]

Answer:

15y = -28 x + 205.

Step-by-step explanation:

Slope intercept form of equation is y = mx + c where m is slope and c is the y intercept.

Now slope of line passing through points (-5, 23) and (10, -5):

$m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{-5 -23}{10 + 5} = \frac{-28}{15}$

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Now, since the line is passing through the point (-5, 23) therefore, x = -5 and y = 23. By substituting these values in above equation,

$23 = -\frac{28}{15} \times (-5) + c$

$23 = \frac{28}{3} + c$

$c = 23 - \frac{28}{3} = \frac{69 - 28}{3} = \frac{41}{3}$

So equation of line in slope intercept form:

$y = -\frac{28}{15} x + \frac{41}{3}$

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2 years ago

I need help with that, if you can, plz. I ty it I think is a not sure

STALIN [3.7K]

Answer:

-5≤x <1

Step-by-step explanation:

sqrt( x+5) / sqrt(1-x)

The numerator must be greater than zero since it is a square root

sqrt(x+5) ≥0

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The denominator must be greater than zero (the denominator cannot be zero)

sqrt(1-x)> 0

Square each side

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Putting these together

-5≤x <1

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