Hello,
Vertices are on a line parallele at ox (y=-3)
The hyperbola is horizontal.
Equation is (x-h)²/a²- (y-k)²/b²=1
Center =middle of the vertices=((-2+6)/2,-3)=(2,-3)
(h+a,k) = (6,-3)
(h-a,k)=(-2,-3)
==>k=-3 and 2h=4 ==>h=2
==>a=6-h=6-2=4 (semi-transverse axis)
Foci: (h+c,k) ,(h-c,k)
h=2 ==>c=8-2=6
c²=a²+b²==>b²=36-4²=20
Equation is:
Answer:
I'm pretty sure it's 31
Step-by-step explanation:
perimeter you add all the sides
Answer:
The correct answer would be C
Step-by-step explanation:
Looking at the data, you can tell that the first two are going to be wrong. The minimum is 1, and the maximum is 5.
A mode, by definition, is the number that appears most in the data. According to answer D, 3 appears 3 times in the data. That is incorrect, as 3 only appears twice in the data.
This leaves only answer C. We need to make sure it's correct. The answer mentions the mean as a value between 2 and 3. Mean is the average. To find the average, you must add all the values together first.
1 + 2 + 5 + 3 + 2 + 2 + 5 + 3 = 23
Then, you must divide the value by the number of data given. There are 8 numbers here, so you must divide 23 by 8.
23/8 = 2.875
2.875 is between the numbers 2 and 3 like answer C said, so C is correct.
Answer:
a = b = 1
Step-by-step explanation:
The triangles are similar thus ratios of corresponding sides are equal, that is
= 
( cross- multiply )
10b = 10 ( divide both sides by 10 )
b = 1
and
= 
( cross- multiply )
10a = 10 ( divide both sides by 10 )
a = 1
Thus a = 1 and b = 1
He spilled 1 and 5/8 cups because 2-3/8= 1 5/8. To check that, use 1 5/8+ 3/8= 2 cups.
