Answer:
vertically stretched by a factor of 5
Step-by-step explanation:
Multiplying the function value by 5 makes each vertical coordinate 5 times the value it was, so it is 5 times as far away from the x-axis. This has the appearance of stretching the graph vertically by a factor of 5.
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Comment on the answer choices
The stretch factor is a "pure number", a ratio of new units to old units. It is "5", not "5 units."
For example, if f(x) is 1 ft (1 unit, where the unit is a foot), then g(x) = 5 ft, the value of f(x) multiplied by 5. It is not 5 ft^2, as you would get if f(x) were multiplied by 5 units, or 5 ft.
Answer:
2.12 ft above ground level
Step-by-step explanation:
Volume of the cylindrical tank is 36*π
Tank is filled to half its capacity, that means tank is filled 18*π, and level of water is 4 feet, then the height of the cylinder is 8 feet
With the above information we can calculate the radius of the base of the cylinder, according to
V = 36*π = π*r²*h ⇒ 36 = r²*h ⇒ 36/8 = r² ⇒ r = 2.12 ft
Then the radius of the base is 2.12 ft
When the cylindrical tank is place on its side, the level of water inside have to be 2.12 ft above ground level. That is the level of half its capacity
Answer:
a) 8cm
b) 19.8cm
Step-by-step explanation:
The key to these types of questions is to keep proportions in mind.
To solve the first question, you want to find the proportion of the smaller triangle to the bigger triangle. The length of AE is 6cm, but the length of AD is (6+4) = 10cm. So the proportion of the bigger triangle to the smaller triangle is 10/6. So to find the lengths of the sides of the bigger triangle, we want to keep this number in mind.
The BE side is parallel to CD, so we have to use length of BE multiplied by the proportion in order to get the length of CD.
CD = 4.8 * (10/6) = 8
CD = 8cm
For the second question, you use the same concept to find all the other side lengths. The only one you need left for the shape EBCD is side BC. Do the same thing you did before, take the length of the side of the smaller triangle that corresponds with side AC on the bigger triangle. In this case, it's AB, which is 4.5cm. Multiply this by 10/6 to get AC.
AC = 4.5 * (10/6) = 7.5
AC = 7.5
But we're not done. We just found the length of AC, but we need the length of BC to calculate the perimeter. To do this, we want to take the length of AC - the length of AB.
7.5 - 4.5 = 3
So the length of BC is 3cm. Now, to find the perimeter, just add all the sides of EBCD together.
4.8 + 4 + 8 + 3 = 19.8cm.
Hope this helps.
(jk)(x)= j (k(x)) = j(9-2x)
= -7(9-2x) = -63 + 14x
but i see there is no such option. may be second option is typo.
so you can select 2nd option
