Answer:
To find the distance between two points, use the distance formula.
It will be the square root of (x2-x1)squared + (y2-y1)squared.
Use (3,-4) as x1, y1. Use (5,1) as x2, y2.
We get the square root of (5-3)squared + (1- -4)squared.
That gives us the square root of 2 squared + 5 squared.
Now we have the square root of 4 + 25, = the square root of 29.
That is the distance between the two points
Step-by-step explanation:
For the first one, I'm guessing 2 to the 28th power. It was 2 to the 6th power on the 6th day, so 28 on the 28th day.
I don't think I have all the info for #2, sorry.
Answer:
Step-by-step explanation:
To determine the area of the definite integral, we take each term and find its corresponding integral. We know that , so therefore we rewrite the expression as .
Now, we plug in each limit into the expression and find the difference between them:
Therefore,
Answer: 1.61
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Work Shown:
tan(angle) = opposite/adjacent
tan(J) = IK/IJ
tan(J) = 45/28
tan(J) = 1.60714 approximately
tan(J) = 1.61
In the plane, we have everywhere. So in the equation of the sphere, we have
which is a circle centered at (2, -10, 0) of radius 4.
In the plane, we have , which gives
But any squared real quantity is positive, so there is no intersection between the sphere and this plane.
In the plane, , so
which is a circle centered at (0, -10, 3) of radius .