M is the slope.
B is the y-intercept
The constant of proportionality is the ratio between two directly proportional quantities.
Answer:
Slope : The rate of increase of temperature on the earth's surface is 0.02°C per year since 1900.
T-intercept : 8.5 represents the temperature in °C of the earth's surface in the year 1900.
Step-by-step explanation:
The average surface temperature of Earth rising steadily. Scientists have modeled the temperature by the equation, T = 0.02t + 8.50 where t represents years since 1900 and T is the temperature in ◦C.
Now, the slope of the model equation is 0.02 which means the rate of increase of temperature on the earth's surface is 0.02°C per year since 1900.
Again, the T-intercept i.e. 8.5 represents the temperature in °C of the earth's surface in the year 1900. (Answer)
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
<h3>How to determine the slope of a line perpendicular to another line</h3>
The slope of a function is determined by the secant line formula and is defined by the following expression:
m = Δy / Δx (1)
Where:
- Δx - Change in the independent variable.
- Δy - Change in the dependent variable.
- m - Slope of the line.
Besides, by analytical geometry, the slope of a line perpendicular to another line is equal to:
m' = - 1 / m
If we know that Δx = 2 and Δy = 3, then the slope of the line perpendicular to the line seen in the picture is:
m = 3 / 2
m' = - 1 / (3 / 2)
m' = - 2 / 3
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
To learn more on slopes: brainly.com/question/2491620
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Answer:
Approximately 7.16 in
Step-by-step explanation:
Hi there!
Area of a circle equation: 
where r is the radius
Plug in the given area 161 in.²
Divide both sides by π to isolate r²
Take the square root of both sides to isolate r
Therefore, the radius of the circle is approximately 7.16 in.
I hope this helps!
