<h3>
Answer: Choice A</h3>
Domain = (a,b]
Range = [mc + n,md + n)
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Explanation:
The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).
Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.
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The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...
g(x) = m*f(x) + n
g(x) = m*c + n
All we're doing is replacing f with c.
So that means mc+n is the starting point of the range for g(x).
The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.
Answer:
the radius is 10 since 10 plus ten is 20
Answer:
A complete angle is one which measures 360∘360∘.
The three angles
6x+20∘,9y+30∘,3z+40∘6x+20∘,9y+30∘,3z+40∘
add up to 360∘360∘, as per the question.
6x+20∘+9y+30∘+3z+40∘=360∘6x+20∘+9y+30∘+3z+40∘=360∘
⟹3(2x+3y+z)+90∘=360∘⟹3(2x+3y+z)+90∘=360∘
⟹3(2x+3y+z)=270∘⟹3(2x+3y+z)=270∘
⟹2x+3y+z=90∘⟹2x+3y+z=90∘
This is the required relation.
