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:
The 12 children selected in Mrs. Smith's kindergarten class.
Step-by-step explanation:
A sample is a representative part of a population on which a research is carried out.
The study In Mrs Smith's class was to find out the number of hours the children in Kindergarten Sleep in a day. Out of the total number of students, 12 were selected for observation. The 12 childen selected is therefore a sample of the class.
Answer:
The common factors for 50,25,100 50 , 25 , 100 are −25,−5,−1,1,5,25 - 25 , - 5 , - 1 , 1 , 5 , 25
Answer:
70 degrees
Step-by-step explanation:
Since the angles of a triangle have to add up to 180 degrees, you know that the third angle of the triangle on the left would be 180 - 60 - 65 = 55 degrees. Then, since the angles on a straight line have to add up to 180 degrees you could find one of the two missing angles of the second triangle by doing
180 - 55 - 50 = 75.
Then, you have 2 out of the 3 angles of the triangle on the right and you can find the third, the ?, by doing 180 - 75 - 35 = 70 degrees
Answer:
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
Let
x = number of pop song downloaded by Mike
y = number of rock song downloaded by Mike
z = number of hip song downloaded by Mike
Mark downloaded 10 songs in total consisting of pop, rock, and hip hop
Mark:
x + y + z = 10
Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Jessica:
5x + 2y + 3z = 28
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Nate:
3x + 3y + z = 20
The following system of equations represents their music choices
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20