Find the domain of the following piecewise function. [-4,3) (-4,3] [-4,6) (-4,6]
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Answer:
The temperature on Celsius scale for 86 ºF is 30 ºC.
Step-by-step explanation:
Both degrees Celsius and Fahrenheit are relative scales of temperature. The relationship between degrees Fahrenheit and degrees Celsius is summarized by the equation below:
(1)
Where:
- Temperature, measured in degrees Fahrenheit.
- Temperature, measured in degrees Celsius.
If we know that , then its equivalent temperature on Celsius scale is:
The temperature on Celsius scale for 86 ºF is 30 ºC.
If we need our line to pass through point C, then we have to use the x and coordinates of point C in our new equation. If that line is to be perpendicular to AB, we also need to find the slope of AB and then take its opposite reciprocal. First things first. Point C lies at (6, 4) so we will use x = 6 and y = 4 in our equation in a bit. The coordinates of A are (-2, 4) and the coordinates of B are (2, -8) so the slope between them is 
which is -3. The opposite reciprocal of -3 is 1/3. That's the slope we will use along with the points from C to write the new equation. We will do this by plugging in x, y, and m (slope) into the slope-intercept form of a line and solve for b. 
and 4 = 2 + b. So b = 2. That's the y-intercept, the point on the y axis where the line goes through when x is 0. Therefore, the point you're looking for is (0, 2).