Answer:
<u>The average speed coming home was 63.27 miles per hour</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Speed from home to Maine = 58 miles per hour
Time of the first leg of the trip = 3 hours or 180 minutes
Time of the second leg of the trip = 15 minutes less = 180 - 15 = 165 minutes or 2 hours 45 minutes
2. What was my average speed coming home?
Let's calculate the distance from home to Maine, this way:
Speed = Distance/Time
Distance = Speed * Time
Distance = 58 * 3 = 174 miles
Now, let's calculate the speed of the second leg, as follows:
Speed = Distance/Time
2 hours 45 minutes = 2.75
Speed = 174/2.75
<u>Speed = 63.27 miles per hour</u>
The quadratic regression equation for this data set is 
.
<h3>
What is the general form of a quadratic equation?</h3>
The general form of the quadratic equation is given by;
Where; a, b, and c are the constants.
x; 0 1 2 3 4 5
y; 2.82 3. 29 3. 46 3. 33 2. 88 2. 24
From the table when the value of x = 0 the value of y is 2.82.
Then,
From the table when the value of x = 3 the value of y is 3.33.
From the table when the value of x = 5 the value of y is 2.24.
And the value of b is;
Therefore,
The quadratic regression equation for this data set is;
Hence, the quadratic regression equation for this data set is .
To know more about the Quadratic equation click the link given below.
brainly.com/question/14935613
Answer:
- shortest: 3 ft
- other: 4 ft
Step-by-step explanation:
The right triangle with hypotenuse 5 that has legs that differ by 1 is the 3-4-5 right triangle. The legs are 3 ft and 4 ft.
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<em>Alternate solution</em>
If you have never heard of a 3-4-5 right triangle, you can figure the leg lengths algebraically using the Pythagorean theorem. Let x represent the length of the "other" leg. Then the shortest is (x-1). The Pythagorean theorem tells you ...
5^2 = (x)^2 +(x -1)^2
25 = 2x^2 -2x +1
12 = x^2 -x = x(x -1)
Factors of 12 that differ by 1 are 3 and 4 or -3 and -4. We want x to be positive, so the value of interest is x=4
The "other" leg is 4 ft; the shortest leg is 3 ft.
