Answer:
d = √13
Step-by-step explanation:
d = √((x2 - x1)² + (y2 - y1)²)
points: (-3, 8) & (-1, 5)
d = √((-1 - -3)²+(5 - 8)²)
d = √(2)²+(-3)²
d =√(4 + 9)
d = √13
Answer: 2
Step-by-step explanation: five times 2 is 10 plus 10 would equal 20
Answer:
Step-by-step explanation:
Consider the graphs of the 
and 
.
By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.
then 
o 
. Therefore the integration limits are:
and 
The inverse functions are given by:
and 
. Then
The volume of the solid of revolution is given by:
![\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B64%7D_%20%7B0%7D%20%5C%2C%20%5B2%5Csqrt%7By%7D%20-%20%5Cfrac%7By%7D%7B4%7D%5D%5E%7B2%7D%20%20dy%20%3D%20%5Cint%5Climits%5E%7B64%7D_%20%7B0%7D%20%5C%2C%20%5B4y%20-%20y%5E%7B3%2F2%7D%20%2B%20%5Cfrac%7By%5E%7B2%7D%7D%7B16%7D%20%5D%5C%20%20dy%20%3D%20%5B2y%5E%7B2%7D%20-%20%5Cfrac%7B2%7D%7B5%7Dy%5E%7B5%2F2%7D%20%2B%20%5Cfrac%7By%5E%7B3%7D%7D%7B48%7D%20%5D%5Climits%5E%7B64%7D_%20%7B0%7D%20%3D%20546.133%20u%5E%7B2%7D)
Answer:
18 1/2 miles
Step-by-step explanation:
3 7/10 * 5
Change to an improper fraction
(10* 3 + 7)/10 * 5
37/10 *5
Rewriting
37 * 5/10
37/2
Changing back to an mixed number
2 goes into 37 18 times with 1 left over
18 1/2
Answer:
-1
Step-by-step explanation:
You can do this two ways, the easiest way is to look at the graph.
What is g(4) means: When the x value equals 4, what does y equal?
Look for the coordinate with the x-value of 4 (it's asking for g(4). Now if you look at the y-value of the coordinate, it should tell you what g(4) is. So since the coordinate is (4,-1), g(4) is -1.
Another way to do it is to plug in 4 for x in the equation. So...
g(4) = -[f(4) - 3)]
g(4) = -[4 - 3]
g(4) = -[1]
g(4) = -1
