Given that the equation of the line is:
y=-18x-2
the equation is in the form of y=mx+c, where m is the slope. Thus the slope of equation is -18. The line perpendicular to this equation has a slope of 1/18, hence the equation will be given by the formula:
m(x-x1)=y-y1
given that the line passes through point (-2,-3) the equation of the line will be:
1/18(x--2)=y-(-3)
1/18(x+2)=y+3
simplifying this gives us:
y=1/18x+1/9+3
y=1/18x6+3 1/9
Answer:
(x + 5) (x^2 -3)
Step-by-step explanation:
Do the grouping:
Then factor out 
in the first and −3 in the second group.
Factor out the common term x + 5 by using the distributive property.
Polynomial 
is not factored in since it does not have any rational roots, thus getting the following:
Answer:
The correct option is;
C. The only swimmers in the 100-m butterfly race are from the rival swim team
Step-by-step explanation:
The question is a word problem
The given information in the question are;
The names (first and last names) of all the competitors are different
The set, (which are the names) of the swimmers taking part in the 100-m butterfly race = The set (which contains the names) of swimmers from the rival team
Therefore, the only members of the set (the only names in the set) of swimmers taking part in the 100-m butterfly race are (the names of the swimmers from the rival swim team) from the rival swim team.
Your answer would be 14.978
Answer:
The answer is
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Step-by-step explanation:
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To solve the equation we must first find h-¹(x)
To find h-¹(x) equate h(x) to y
That's
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<u>Next interchange the terms </u>
x becomes y and y becomes x
That's
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<u>Make y the subject</u>
Take logarithm to base 2 to both sides
That's
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But
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So we have
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Now we can solve the equation
We have
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Convert the logarithm into exponential form using the fact that
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So we have
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But
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So we have the final answer as
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Hope this helps you
