The right answer is the constant of proportionality
If two variables are related and this relationship is that there is a<em> constant ratio</em> between them, then we are talking about proportionality. There are two types of proportionality.
1) Direct Proportionality:
In a mathematical language this is given by this equation:
where 
is in fact this constant of proportionality. If 
<em>increases,</em> 
also <em>increases</em> at the same rate. On the other hand, If <em> decreases, </em> also <em>decreases</em> at the same rate.
2) Inverse Proportionality:
In a mathematical language this is given by this equation:
where is also called the constant of proportionality. If <em>increases,</em> <em>decreases</em> at the same rate. On the other hand, If <em>decreases,</em> <em>increases</em> at the same rate.
Answer: No, we don't have a right triangle
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Explanation:
If a triangle with sides a,b,c makes the equation a^2+b^2 = c^2 true, where c is the longest side, then this triangle is a right triangle. This is the converse of the pythagorean theorem.
Here we have a = 2, b = 5 and c = 7.
So...
a^2+b^2 = c^2
2^2+5^2 = 7^2
4+25 = 49
29 = 49
The last equation is false, so the first equation is false for those a,b,c values. Therefore, we do <u>not</u> have a right triangle.
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In contrast, consider the classic 3-4-5 right triangle
a = 3, b = 4 and c = 5 would make a^2+b^2 = c^2 true because 3^2+4^2 = 5^2 is a true equation (both sides lead to 25).
Answer:
She work <u>23 hours</u>.
Step-by-step explanation:
Given:
Tracy works at the Pizza Place. She earns $4.50 an hour plus tips.
Last week, she earned a total of $156.00, of which $52.50 was tips.
Now, to find the number of hours she work.
Total salary = $156.00
Amount of tips = $52.50.
So, first we deduct the amount of tips from the total salary:
<em>Thus, the remaining salary = $103.50.</em>
As, given salary she earns an hour = $4.50.
And then, to get the number of hours she work last week by dividing $103.50 the remaining salary by $4.50:
Therefore, she work 23 hours.
To write the equation of a line I need slope and y intercept (0,y)
I have y intercept (0,7) of +7 as written in the equation
The equation y=-5/4x + 11/4 has a slope of -5/4
To get perpendicular slope is negated reciprocal
so take -5/4 and flip it -4/5 and change the sign (in this case negative to positive) 4/5
so the new equation is y=4/5x +7 (third one)
