Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:
Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:
13 = x
Verify whether x = 13 is the correct value:
This shows the proportional relationship between , and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.
Answer: instead of X put 5 and instead of y put 2
5+6(2)
5+12= 17
Answer:
480min a month
Step-by-step explanation:
4×30 =120
120×4=480
Answer:
B and D are the answers
Step-by-step explanation:
The graph of the functions f(x) and g(x) are the same
<h3>The sketch of the graph of the function</h3>
The function is given as:
f(x) = log₂(x)
See attachment for the sketch of the graph.
<h3>The domain of f</h3>
From the graph, we can see that the x values are greater than 0
This means that the domain of f is x > 0
<h3>The equation of f⁻¹(x)</h3>
We have:
f(x) = log₂(x)
Rewrite as:
y = log₂(x)
Swap x and y
x = log₂(y)
Express as an exponential function
y = 2ˣ
So, we have:
f⁻¹(x) = 2ˣ
Hence, the equation of f⁻¹(x) is f⁻¹(x) = 2ˣ
<h3>The
asymptote of f⁻¹(x)</h3>
We have:
f⁻¹(x) = 2ˣ
Set the function to 0
f⁻¹(x) = 0
Rewrite as:
y = 0
Hence, the asymptote of f⁻¹(x) is y = 0
<h3>How to plot the graph of g(x)?</h3>
We have:
f(x) = log₂(x)
g(x) = log₂(x)
Both equations are the same.
Hence, the graph of f(x) and g(x) are the same
Read more about logarithmic functions at:
brainly.com/question/3181916
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