Answer:
B)g(x) = 5^x - 10
Step-by-step explanation:
If you compare graphs f(x) and g(x) for a certain point, let's say point (2,25) and (2,15) you'll notice that y coordinate changed frim25 to 15 so this is 10 units down. This is vertical transformation 10 units down.
The same thing happens if you compare other given points.
9514 1404 393
Answer:
KM = 4
Step-by-step explanation:
The point of the segment addition postulate is that the combined length of segments laid end-to-end is the sum of their individual lengths.*
KL +LM = KM
(5x +1) +(3x +3) = 5x +4
8x +4 = 5x +4 . . . .simplify
3x = 0 . . . . . . . . . . subtract 5x+4
x = 0 . . . . . . . . . . . divide by 3
Then the length of KM is ...
KM = 5x +4 = 5·0 +4 = 0 +4
KM = 4
_____
* Sometimes it seems that geometrical theorems simply state the obvious. Some interesting math arises from systems of geometry in which this is not true. We usually don't study those in high school.
Answer:
1) Increase in the diameter equals 3.5 mm
2) Increase in the length equals
where
is the initial length of the vessel.
Step-by-step explanation:
The diametric strain in the vessel is given by

We have

Applying values we get

Similarly axial strain is given by


Applying values we get

Hence The effect of axial strain along the diameter is given by

Applying values we get

hence

Now by definition of strain we have

Increase in the diameter is thus 3.5 mm
Using the same procedure for axial strain we have

Applying values we get


Now by definition of strain we have

where
is the initial length of the cylinder.
Step-by-step explanation:
slope/gradient
1 - (-4) / 4 - 0 = 5/4
y-intercept is -4 (this is the dot on y)
so the line equation is
y = 5/4x - 4 answer d