Answer:
The point slope form of the equation 2x-7y=14 is
Step-by-step explanation:
Here, the given expression is : 2 x - 7 y = 14
The Point Slope Form of an equation is of the form:
y = m x + c,
where m = slope of the line and c is y - intercept
Here the given expression is 2x - 7y = 14
or, 2x - 14 = 7y
or,
or,
Hence, the point slope form of the equation 2x-7y=14 is
Answer:
D is the answer
Step-by-step explanation:
<h3>
Answer: (2,0)</h3>
Explanation:
The vector (0,2) points directly north and the length of this vector is 2 units. It's the distance from (0,0) to (0,2).
When rotating 270 degrees counterclockwise, we'll turn to the left or westward direction (90 degrees so far) then at some point aim directly south (180 degrees so far) and finally ultimately end up pointing directly east (after getting to 270). So that's how we go from (0,2) to (2,0).
If you were to go clockwise, then everything flips and you'll ultimately end up pointing directly west. The length of the vector stays the same the whole time.
First we have to find the pattern: 16-4=12, 36-16=20, 64-36=28, 100-64=36
We see in the pattern the next number is increased by 8. (20-12=8, 28-20=8, etc) So the next number would be 36+8=44 and then we add that to the last number of the sequence: 100+44=144
next number would be 44 +8 =52, 144 +52 = 196
3rd number would be 52+8=60, 196 +60 = 256
so next 3 numbers are 144, 196, 256
Answer:
Step-by-step explanation:
Let's give this a go here. The volume formula for the shell method while rotating about a horizontal line is
where p(y) is the distance from the axis of rotation (the x-axis) to the center of the solid. This is a positive distance and it is just y.
h(y) is the horizontal height of the function. Our function starts at x = 0 and ends at the function itself, so h(y) = 3 + y^2.
In the shell method when rotating about a horizontal line, we need to use x = y equations, and y-intervals. Setting up our integral then:
We can simplify this a bit by distributing the y into the parenthesis:
Integrating gives us
from 2 to 3
Using the First Fundamental Theorem of Calculus:
which simplifies down to