Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4π units. The base of cylinder B has an area
2 answers:
Answer:
The factor is .
Step-by-step explanation:
Given : Cylinders A and B are similar solids.
The base of cylinder A has a circumference of units.
The base of cylinder B has an area of units.
To find : The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?
Solution :
Let x be the factor.
So, according to question,
........[1]
The dimension refer here are radius of both cylinders.
In cylinder A,
Circumference of base is units.
Circumference of base of cylinder is
The dimension of cylinder A is r=2
In cylinder B,
Area of cylinder is units.
Area of base of cylinder is
The dimension of cylinder B is r=3
Substitute in [1]
Therefore, The factor is .
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Answer:
B the range, the x- and y-intercept
Step-by-step explanation:
the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).
but the range changes, as for the original function y could only have positive values - even for negative x.
the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.
the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.
the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.
the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.
the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)