Answer:
Step-by-step explanation:
Think of of this as a function in which the number of pounds is a function of the number of hours. Each piece of given information is a point. Each point has the format (x, y) = (hours, pounds), where hours is x and is the independent variable, and pounds is y and is the dependent variable.
You have two points (4.5, 1445) and (7, 2320). First find the slope of the line that passes through those two points. Use the slope formula,
m = (y2 - y1)/(x2 - x1).
Then using the slope and the point-slope equation of a line, find the equation of the line. The point-slope equation of a line is
y - y1 = m(x - x1),
where m = slope, and the point is (x1, y1).
Try it. If you have questions or need extra help, just comment.
Step-by-step explanation:
When x = 0,
sin3x / 6x = 0 / 0, which is an indeterminate form.
Hence we use L'Hospital's rule:
d/dx (sin3x) = 3cos3x
d/dx (6x) = 6
Now we have 3cos3x / 6 or 0.5cos3x.
When x = 0, 0.5cos3x = 0.5(1) = 0.5.
Hence the limit is 0.5.
Step-by-step explanation:
5×4=20. 20×9=180
+
9×4=36. 36/9=4
180+4=184
answer=184
when a number is next to a letter it mean to multiply
and / means to divide
Answer:
6 is the area of a parallelogram
The two are perpendicular to each other because the two slopes are negative reciprocals
(Y2 - Y1) / (X2 - X1)
First slope:
( 1 - (-1)) / (-11 - (-6))
2/-5
Second slope:
(-13 - (-8)) / (-5 - (-3))
-5/-2 or 5/2
You know when two aliens are perpendicular when you multiply the two slopes and get -1 as the product
-2/5 X 5/2 = -1
Thus the two lines are perpendicular to each other.
