R: (-inf, 0]
D: all real #'s
A = speed of one boy
<span>a + 3 = speed of 2nd boy </span>
<span>d = speed X time ... time is 3 hrs </span>
<span>68 = 3a + 3(a + 3) </span>
<span>6a = 59 </span>
<span>a = 59/6 = 9 5/6 miles per hour </span>
<span>a + 3 = 12 5/6 miles per hou</span>
Answer:
7
Step-by-step explanation:
Think of points on the number line. -3 is 3 units to the left of zero, whereas 4 is 4 units to the right of zero. zero is the reference point.
The distance between -3 and 4 is 7.
Given:
A right triangle has legs of 18 inches and 24 inches.
The short leg is increasing by 4 in/sec and the long leg is shrinking at 9 in/sec.
To find:
The rate of change of the hypotenuse.
Solution:
Let x be the shorter leg (Base), y be the larger leg (Perpendicular) and z be the hypotenuse.
We have,
According to the Pythagoras theorem,
...(i)
Taking square root on both sides.
Side cannot be negative. So,
Differentiating (i) with respect to time t, we get
Divide both sides by 60.
Here, negative sign means hypotenuse is decreasing.
Therefore, the hypotenuse is shrinking at 4.8 in/sec.
Answer:
4/15
Step-by-step explanation:
Lets find a common denominator in order to find the total amount. There is a common denominator of 15 among 3 and 5. Therefore we will convert the fraction so they have the same denominator.
1/3 > 5/15
2/5 > 6/15
If Joy had read 5/15 of the book before reading at night, she already had the progress of being at 10/15 way through the book. At the end of the day, Joy had only 6/15 left of the book. To find the remainder, we subtract 10-6=4. This helps find the answer that Joy only read 4/15 of the book towards the end of the day.
