Answer: Center: (0,0)
Vertices: ( √3 , 0 ) , ( − √3 , 0 )
Foci: ( √6 , 0 ) , ( − √6 , 0 )
Eccentricity: √2
Focal Parameter: √6/2
Asymptotes: y = x , y = − x
How to: Rewrite in vertex form and use this form to find the vertex ( h , k ) .
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Answer:
135 days
Step-by-step explanation:
Often, we measure work in man·days. This piece of work requires ...
(45 man)·(90 days) = 4050 man·days
When there are only 30 men, the number of days required can be found by dividing this work by the number of men:
4050 man·days/(30 man) = 135 days
_____
Another approach is to realize the time is inversely proportional to the number of men. If the number of men is 30/45 = 2/3 the original, then the time will be 3/2 the original, or ...
(3/2)·90 days = 135 days.
1.11 2.14 3.10 4.9 5.-5 6.-8 7.11 8.40 9.9 10.12 11.30 12.22 13.3 14.-4 15.16 16.35
Answer:
We multiplied by a negative number (-8)
We divided by a negative number (-8)
Step-by-step explanation:
Multiplying or dividing both sides of an equation by a negative number changes the inequality of the equation, because it changes the sign of each side of the equation
Answer:
<h2><em>
y = 8, ST = 31 and RT = 81</em></h2>
Step-by-step explanation:
Given RS = 6y+2, ST=3y +7, and RT=13y-23, the vector formula is true for the equations given; RS+ST = RT
Om substuting the expression into the formula;
6y+2+3y +7 = 13y - 23
collect the like terms
6y+3y-13y+2+7+23 = 0
-4y+32 = 0
Subtract 32 from both sides
-4y+32-32 = 0-32
-4y = -32
y = -32/-4
y = 8
Since ST = 3y+7. we will substitute y = 8 into the exprrssion to get ST
ST = 3(8)+7
ST = 24+7
ST = 31
Similarly,
RT = 13y-23
RT = 13(8)-23
RT = 104-23
RT = 81
<em>Hence y = 8, ST = 31 and RT = 81</em>
