Answer: C) HF measures 4 units and GH is 2 units.
Step-by-step explanation:
The SSS similarity theorem asserts that triangles are similar if the lengths of their corresponding sides are in proportion.
For triangles ΔDFE and ΔGFH:
DG equals 15, GF is 5, EH equals 12, and DE is 8.
To demonstrate the similarity of ΔDFE and ΔGFH according to the SSS similarity theorem, we require:
Thus, to confirm that △DFE is similar to △GFH utilizing the SSS similarity theorem and the data from the diagram, it is essential to establish that HF measures 4 units and GH measures 2 units.
Upon reviewing the functions based on the tables, it is determined that (f - g)(x) is positive in the range of (–∞, 9).----------------------
For the
- subtractive
- function, we simply subtract the two functions, leading to:
It retains a
- positive
- value when f is greater than g, which means: f(x) > g(x).Being a linear function, one will be greater prior to the equality, while the other will take precedence afterward.
- They intersect at x = 9.
- If x < 9, then f(x) is greater than g(x), thus, (f - g)(x) remains positive, which indicates that the
- required interval is:(–∞, 9)
A related problem can be found at
Answer : y>0
f(x) = 9*2^x
This function is exponential in form
Substituting positive numbers for x yields positive y values
Substituting negative numbers for x also results in positive y values
Therefore, y remains positive regardless of the value of x.
The range comprises all possible y outputs of the function
Since y is always positive, the range is y > 0
Answer:
Step-by-step explanation:
Consider the two lines TRW and SRV intersecting at point R, as illustrated in the diagram below and:
This may be a bit awkward to explain in writing, so please bear with me:)
You are given the equations. Begin by focusing on ad = 11.6. Treating variables normally, this reads as a times d = 11.6.
From that, d = 11.6/a by dividing both sides by a.
With d expressed, substitute (11.6/a) into cd = 6.7. Then isolate c by multiplying both sides by a/11.6, yielding c = (6.7a)/11.6.
Now that c is known, insert (6.7a)/11.6 for c in bc = 8.3. The algebra becomes a bit messy, but solving for b gives approximately 14.3705 / a. Since you need ab, multiply both sides by a, and rounding to one decimal place produces ab = 14.4
