Please help this is really hard
1 answer:
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Answer: The exact length of segment HC is sqrt(3) units
The approximate length is roughly 1.73205080756888 (round that however you need to)
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Work Shown:
Let x = length of HC
Since AH = 3*HC, this means AH = 3*x
Draw out the picture. This step is optional but helpful in my opinion. The drawing is attached below.
After adding in the altitude BH, we have three similar triangles. So we can form the proportion shown below to solve for x
HC/BH = BH/AH
HC/3 = 3/AH ... replace BH with 3
x/3 = 3/AH ... replace HC with x
x/3 = 3/(3x) ... replace AH with 3x
x/3 = 1/x ... reduce
x*x = 3*1 ... cross multiply
x^2 = 3
x = sqrt(3) ... which is shorthand for "square root"
HC = sqrt(3)
HC = 1.73205080756888 which is approximate
Answer:
Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of
Step-by-step explanation:
Function A:
Function B:
Required
Which has a greater rate of change
The rate of change of function A is calculated as thus:
Where:
So, we have:
For function B
The general function is:
Where
m is the rate of change
By comparing to
So, we have that:
Function A has a rate of -5; function B has a rate of -4.5.
By comparison: -4.5 is greater than 5
Hence, function B has a greater rate.