Answer: 80 miles
Step-by-step explanation:
Answer:
(2,-2)
Step-by-step explanation:
The midpoint of the line segment with endpoints
and
has coordinates

If the endpoints of the line segment are (-2,5) and (6,-9), then the midpoint has the coordinates

Answer:
Step-by-step explanation:
Slope-intercept equation of a line is,
y = mx + b
Here, m = Slope of the line
b = y-intercept
If m = -6 and b = 3,
Equation of the line will be,
y = -6x + 3
Input - output values got the graph of this line,
x -1 0 1 2
y 9 3 -3 -9
Now by plotting these points we can draw the line on graph.
Answer:
<u>The solution for this system is x = 1/2 and y = 9/2</u>
Step-by-step explanation:
1. We have this system of equations:
x - 3y = -13 and 5x + 7y = 34
2. Let's try to find out the value of x on the first equation:
x - 3y = - 13
x = 3y - 13
3. Now, let's replace x on the second equation for finding y:
5x + 7y = 34
5 (3y - 13) + 7y = 34
15y - 65 + 7y = 34
22y = 34 +65
22y = 99
2y = 9 (Dividing by 11 at both sides)
<u>y = 9/2</u> (Diving by 2 at both sides)
4. Now, let's find out the value of x on the first equation, using the value of y:
x - 3y = - 13
x - 3 (9/2) = - 13
x - 27/2 = -13
x = -13 + 27/2
x = (-26 + 27)/2 (Adding - 13 and 27/2)
<u>x = 1/2</u>
5. Finally, let's prove the values of x and y are correct on the second equation of the system:
5x + 7y = 34
5 (1/2) + 7 (9/2) = 34
5/2 + 63/2 = 34
(5 + 63)/2 = 34
68/2 = 34
<u>34 = 34</u>
<u>It has been proved that x = 1/2 and y = 9/2 are correct</u>
Answer:
b = (5±√17)/4 ≈ {0.2192, 2.2808}
Step-by-step explanation:
The average on the interval is found from the integral ...

We want the value of this integral to be 5, so we want to find b such that ...
5 = -2b^2 +5b +4
2b^2 -5b +1 = 0
b^2 -5/2b = -1/2
b^2 -5/2b +25/16 = -1/2 +25/16
(b -5/4)^2 = 17/16
b = (5±√17)/4
The average value of f(x) is 5 on the intervals ...
[0, (5-√17)/4] and [0, (5+√17)/4]