Answer:
g(t) = 0
And
The differential equation is linear and homogeneous
Step-by-step explanation:
Given that,
The differential equation is -
By comparing with y′+p(t)y=g(t), we get
g(t) = 0
And
The differential equation is linear and homogeneous.
To solve this we are going to use the formula for the area of a circle:
where
is the area of the circle
is the diameter of the circle
We know from our problem that the area of our circle is 10 inches long, so
. Lets replace that value in our formula to find
:
We can conclude that the correct answer is: 78.54 square inches, or in centimeters: 506.7 square cm.
Movie starts 7:20 PM
2 hours = 02:00
28 minutes = 00:28
1.) 2 hours and 28 minutes = 02:28
2.) Movie starts 7:20 PM
You want to find out what time the movie will end
07:20 PM (start time)
+ 02:28 (movie time)
-------------------------------------
09:48 PM (movie end)
The movie will end at 9:48 PM
Answer: Bottom-Right corner
The points are (-5,6) (-5,-6) (4,-6)
-----------------------------------------
Explanation:
What you do is go through each of the answer choices, plot the points, and see which give you a right triangle. A right triangle has one 90 degree angle.
The upper-left choice leads to an obtuse triangle, so we can cross that off the list. It turns out that the other choices lead to right triangles.
The upper-right choice has a hypotenuse of roughly 11.18, so that's also eliminated
The bottom-left choice has a hypotenuse of 10.82, which means we cross that off the list
The bottom-right choice has a hypotenuse of 15, so we found the answer
Note: you use the distance formula to find the length of the hypotenuse. The distance formula is
d = sqrt((x1-x2)^2+(y1-y2)^2)
9|⁻¹/₃z| + 6 < 30
9|⁻¹/₃z| + 6 < ±30
9|⁻¹/₃z| + 6 < 30 or 9|⁻¹/₃z| + 6 > -30
9(¹/₃z) + 6 < 30 or 9(¹/₃z) + 6 > -30
3z + 6 < 30 or 3z + 6 > -30
- 6 - 6 - 6 - 6
3z < 24 or 3z > -24
3 3 3 3
z < 8 or z > -8
Solution Set: {z|z < 8 or z > -8} and (-∞, 8) or (-8, ∞)