Answer:
Slope: 2
Y-intercept: (0, -1) or - 1
Step-by-step explanation:
Given the linear equation, -4x + 2y = -2:
Transform the given equation into its slope-intercept form, y = mx + b:
-4x + 2y = -2
Add 4x to both sides:
-4x + 4x + 2y = 4x - 2
2y = 4x - 2
Divide both sides by 2 to isolate y:
y = 2x - 1 ⇒ This is the slope-intercept form where the slope, m = 2, and the y-intercept is (0, -1).
means to say that for any given , we can find
such that anytime
(i.e. the whenever
is "close enough" to 5), we can guarantee that
(i.e. the value of
is "close enough" to the limit value).
What we want to end up with is
Dividing both sides by 3 gives
which suggests is a sufficient threshold.
The proof itself is essentially the reverse of this analysis: Let be given. Then if
and so the limit is 7. QED
Answer:
Answer D
Step-by-step explanation:
The formula is . We have our r (radius) and h (height), so plugging it all in would give us A = (3.14)(5 + sqrt(12^2)+(5^2). After computing this, you would get answer D, 282.6.
Answer: A cone with height 3 and radius 1
Step-by-step explanation:
Hi, searching I found the image for the question, attached down below.
By rotating the triangle about line m, a cone with height 3 and radius 1 is produced.
Solid 3d objects are produced by rotating a 2d figure around a straight line that lies in the same place.
in our case, if we rotate the triangle around the line, the vertices in touch with the line m remains stationary, while the remaining vertex follows the path of a circle, creating a cone.
