Answer:
<u>The slope is -3.</u>
Step-by-step explanation:
The slope is the Rise/Run between the two points. The change in y for every change in x. Take the two points and calculate the:
RISE = (-6 - 3) = -9
RUN = (8 - 5) = 3
Rise/Run, or slope, is = -9/3 or -3
I graphed a line with slope of -3 and then added 18 to force the line to intersect the two given points.
has gradient
which at the point (-1, 4, 3) has a value of
I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say , in which case we have
Then the derivative of at (-1, 4, 3) in the direction of is
For this case, what you should do is calculate the surface area of the figure.
We have then:
Triangles:
A1 = (1/2) * (7) * (12)
A1 = 42 in ^ 2
Rectangles:
A2 = (1) * (12.5)
A2 = 12.5 in ^ 2
A3 = (1) * (7)
A3 = 7 in ^ 2
Finally, the total surface area is:
A = 2A1 + 2A2 + A3
Substituting values:
A = 2 (42) + 2 (12.5) + (7)
A = 84 + 25 + 7
A = 116 in ^ 2
Answer:
the amount of cardboard needed to make a box for a single slice of pizza is:
A = 116 in ^ 2
Answer:
D. 30
Step-by-step explanation:
A. 15
3 and 5 are liable. 10 is not
B. 20
5 and 10 liable. 3 is not.
C. 25
5 is liable. 3 and 10 is not.
D. 30
3, 5, and 10 are liable