Answer:
1st Question is 22r4
2nd Question is 22r16
3rd Question is 11r11
4th Question is 11r30
Step-by-step explanation:
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The domain of the function h(x) is x is greater than -1
<h3>How to determine the domain of the function h(x)?</h3>
The graphs of the functions are given as attachment
From the attachment, we have the following domains:
- Domain of f(x): x > 2
- Domain of g(x): x > -1
The equation of function h(x) is
h(x) = f(x) - g(x)
The domain of the function g(x) is greater than that of the function f(x)
This means that the function h(x) will assume that domain of the function g(x)
Hence, the domain of the function h(x) is x is greater than -1
Read more about domain at:
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Answer:
15
Step-by-step explanation:
3x3=9
so therefore you need to multiply 2 by 3=6
9+6=15
<h3>
Answer: m = 25</h3>
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Work Shown:
Triangle ABC is congruent to triangle DEF. The order of the lettering is important because it tells us how the angles pair up. We see that angle B and angle E are the second letters of ABC and DEF respectively. Because the triangles are congruent, this leads to angle B = angle E.
Angle B is shown to be 20 degrees, so,
angle E = angle B
2(m-15) = 20
m-15 = 20/2
m-15 = 10
m = 10+15
m = 25
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A slightly alternative way to solve:
2(m-15) = 20
2m-30 = 20
2m = 20+30
2m = 50
m = 50/2
m = 25
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Checking the answer:
2(m-15) = 20
2(25-15) = 20
2(10) = 20
20 = 20
We get the same thing on both sides, so we end up with a true equation. This means the first equation is true when m = 25. The solution has been confirmed.