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scoray [572]
3 years ago
15

A certain fluid is not a liquid if its temperature above 140 C or below 0 C. Enter a compound inequality for the temperatura t w

hen water is not liquid
Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0

Answer:

t < 0 and t > 140

Step-by-step explanation:

It is given in the question that fluid is not a liquid if its temperature is above 140°C or below 0°C.

So, the inequality that satisfies the temperature at which the fluid is liquid will be given by 140 ≥ t ≥ 0.

Now, the compound inequality for the temperature t when the fluid is not liquid is t < 0 and t > 140. (Answer)

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Answer:

Point-slope form of equation given as $y-2=-2(x+2)$.

Slope-intercept form of equation is given as $y=-2 x-2$.

Step-by-step explanation:

In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, $x_{1}=-2$ and

$$y_{1}=2 \text {. }$$

Also, the slope of the line is -2.

Hence, m=-2

Substitute the above values in point-slope form of equation given by $y-y_{1}=m\left(x-x_{1}\right)$

$$\begin{aligned}&y-y_{1}=m\left(x-x_{1}\right) \\&y-2=-2(x-(-2) \\&y-2=-2(x+2)\end{aligned}$$

Hence, point-slope form of equation given as y-2=-2(x+2).

Step 2 of 2

Solve y-2=-2(x+2) to write it as slope-intercept form given by y=mx+c.

$$\begin{aligned}&y-2=-2(x+2) \\&y-2=-2 x-4 \\&y=-2 x-4+2 \\&y=-2 x-2\end{aligned}$$

Hence, slope-intercept form of equation is given as y=-2x-2.

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