Answer:
15,000
Step-by-step explanation:
1912* 8 =15,296
To the nearest thousand = 15,000
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:
points on the boundary line: (0, 10), (20, 0)
solution points not on the boundary line: (100, 100)
Step-by-step explanation:
We cannot tell from the posted picture whether the boundary line is solid or dashed, so the answer above is split into two parts. If the boundary line is solid (x+2y≥20), all three listed points are in the solution set. If the boundary line is dashed (x+2y>20), only (100, 100) is in the solution set
<u>Answer</u>
Time taken to paint the fence by Marco and Jaylyn is 2.72 hours
Heading can be given to this is work per hour
<u>Explanation</u>
Macro 6 hours to paint fence by himself
Therefore his 1 hour work = 1/6
Jaylyn 5 hours to paint the same fence by herself
Therefore 1 hour work of Jaylyn = 1/5
Together 1 hour work = 1/6 + 1/5 = 11/30
Therefore time taken to paint the fence together by them = 30/11 = 2.72 hours