Answer:
true
Step-by-step explanation:
For 3 sides to be able to form a triangle, we need to check that the 2 shorter sides can "touch" when "stemming" out of the long side.
The long side has length 7cm, so the sum of 2 shorter sides must be bigger than 7cm for them to "touch". Note: if the sum was 7cm, the only way they would touch is if they were laid along the long side, so it would not be a triangle - it would be a segment.
Fortunately, 3cm + 5cm > 7cm, so we can form a triangle.
Answer:
Step-by-step explanation:
Answers:
The number 0 goes in the first blank for f(x)
The number 6 goes in the second blank for g(x)
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Explanation:
As x gets larger and larger, the expression (4/5)^x will get smaller and smaller. What's going on is that we are repeatedly multiplying (4/5) with itself over and over if we assume x is some whole number. For example, if x = 100, then we'll have 100 copies of (4/5) multiplied out. Each time we multiply by (4/5), the result gets smaller.
The results will approach 0 but not actually get there. So this is why f(x) has the horizontal asymptote y = 0. The function values f(x) will essentially be the set of positive y values, in other words, y > 0. This covers the range for f(x). To get the range of g(x), we add 6 to the range of f(x). This is because everything on g(x) is a vertical shift upward of 6 units.
Answer:
A. 
B. 
Step-by-step explanation:
Given
Required
Determine equivalent ratios:
First, we simplify the ratio to the least possible
By comparison with the given options, we have A and B as answer.
See Proof Below
Proof: A
Compare this to the simplified ratio (given), we have:
=
Proof B
Simplify the ratio to the least possible
Compare this to the simplified ratio (given), we have:
=
