If the 2 lines are parallel, their slopes are the same.
The slope of both is
3+3
m = ---------- = 3
2 - 0
If the new line <span>passes through the point (−1, −1), then the equation in point slope form is:
y+1 = 3(x+1).</span>
The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .
We start with the relation between ratio of surface area and ratio of corresponding sides. That is

Here x and y are the corresponding sides .

Let the volume of the smaller one be v


So for the smaller solid, volume is 272 . And the correct option is the first option .
The standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.
<h3>How to determine the standard deviation of the data set?</h3>
The dataset is given as:
Heart Rate Frequency
60 1
65 3
70 4
75 12
80 8
85 15
90 9
95 5
100 3
Calculate the mean using
Mean = Sum/Count
So, we have
Mean = (60 * 1 + 65 * 3 + 70 * 4 + 75 * 12 + 80 * 8 + 85 * 15 + 90 * 9 + 95 * 5 + 100 * 3)/(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3)
Evaluate
Mean = 82.25
The standard deviation is

So, we have:
SD = √[1 * (60 - 82.25)^2 + 3 * (65 - 82.25)^2 + 4 * (70 - 82.25)^2 + 12 * (75 - 82.25)^2 + 8 * (80 - 82.25)^2 + 15 * (85 - 82.25)^2 + 9 * (90 - 82.25)^2 + 5 * (95 - 82.25)^2 + 3 * (100 - 82.25)^2)]/[(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3 - 1)]
This gives
SD = √85.9533898305
Evaluate
SD = 9.27
Hence. the standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.
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By applying the definition of difference, we find that the <em>average daily maximum</em> temperature in Syracuse is 26.55 °C higher than the <em>average daily minimum</em> temperature.
<h3>What is the difference between the average daily maximum temperature and the average daily minimum temperature?</h3>
Herein we must find the difference bewteen the two temperatures, defined as the subtraction of the <em>minimum</em> temperature from the <em>maximum</em> temperature:
x = 21.85 °C - (- 4.7 °C)
x = 26.55 °C
By applying the definition of difference, we find that the <em>average daily maximum</em> temperature in Syracuse is 26.55 °C higher than the <em>average daily minimum</em> temperature.
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Answer:

Step-by-step explanation:
We can take 2 arbitrary points in the graph and solve for slope using the formula shown below.
<u>Note:</u> we will use the 2 points (2,-3) & (-3,1)
Where x_1 = 2, y _1 = -3 and x _ 2 = -3 and y _ 2 = 1
The formula:

Let's plug the numbers and find the slope:

Hence, thsi is the slope.