Find the supplement of the complement of angle 4 if angle 4 equals 82 degrees
2 answers:
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Discussion
1. Put brackets around the first two terms
y = (-x^2 + 6x) + 5
2. Take out the common factor of -1
y = -(x^2 - 6x) + 5
3. Inside the brackets, take 1/2 of - 6 and square it
y = -(x^2 - 6x + ( - 6 / 2)^2 ) + 5
y = -(x^2 - 6x + (- 3)^2 ) ) + 5
y = -(x^2 - 6x + 9 ) + 5
Note: Step 3 is very long. Make sure you work your way through it
4. You have added 9 inside the brackets. <em><u>It is actually - 9. So add 9 outside to balance the equation out. </u></em> This is the key step. Make sure you understand it.
y = - (x^2 - 6x + 9) + 5 + 9
5. Express the brackets as a square.
y = - (x + 3)^2 + 14
Discussion
The equation is now in vertex form. The minus tells you that the equation is a maximum. The maximum is located at ( - 3, 14 )
A graph follows to show the results.
Answer:
21 birds and 7 dogs
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Step-by-step explanation:
Represent Birds with B and Dogs with D
----- Total Animals
A bird has 2 legs and a dog has 4, so:
---- Legs
Required
Solve for D and B
Make D the subject in the first equation
Substitute 28 - B for D in the second
Collect Like Terms
Solve for B
Recall that:
<em>Hence, there are 21 birds and 7 dogs</em>