Answer:
Standard form of equation for a hyperbola with horizontal transverse axis:
(x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center
For given hyperbola:
x-coordinate of center=(9+1)/2=5 (use midpoint formula)
y-coordinate of center=1
center: (5,1)
length of horizontal transverse axis=8 (from 1 to 9)=2a
a=4
a^2=16
..
Foci
2c=9 ( from 1 to 10)
c=4.5
..
c^2=a^2+b^2
b^2=c^2-a^2=20.25-16=4.25
..
Equation of hyperbola:
(x-5)^2/16-(y-1)^2/4.25=1
Hi there!
The question is asking us to simplify the expression (x² + 3x - 7)(2x - 5) and write the answer in standard form. Here is how you do that -
Original: (x² + 3x - 7)(2x - 5)
Break it apart - [(x² + 3x - 7)(2x)] + [(x² + 3x - 7)(-5)]
Simplify -
2x³ + 6x² - 14x - 5x² - 15x + 35
Now, combine like terms -
2x³ + x² - 29x + 35
Therefore, the answer to your query is 2x³ + x² - 29x + 35. Hope this helps!
The answer I got is 4400000 I hope it helps
Answer:
1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5
6 x 1/5
Step-by-step explanation:
1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 = (1 + 1 + 1 + 1 + 1 + 1)/5 = 6/5
6 x 1/5 = (6 x 1)/5 = 6/5
Hope this helped! :)
Number 1
37.50 divide by 5.25 and the answer is 7