Answer:
center: (0,0)
vertices: (-4,0) and (4,0)
foci: (-10.8,0) and (10.8,0)
asymptotes: y = -5/2*x and y = 5/2*x
Step-by-step explanation:
Hyperbola with center as origin general equation is:
x²/a² - y²/b² = 1
Our equation is:
25x² - 4y² = 400
Dividing each term by 400:
25x²/400 - 4y²/400 = 400/400
x²/16 - y²/100 = 1
which matches the general equation. Then, the center is (0,0)
a² = 16
a = 4
b² = 100
b = 10
c² = a² + b²
c = √(16+100) = 10.8
General vertices formula: (±a,0). Replacing, the vertices are: (-4,0) and (4,0)
General foci formula: (±c,0). Replacing, the foci are: (-10.8,0) and (10.8,0)
General asymptotes formula: y = ±b/a*x. Replacing, the asymptotes are:
y = -10/4*x = -5/2*x
y = 10/4*x = 5/2*x
Answer:
(x - 3)^2 + (y - 6)^2 = 17
Step-by-step explanation:
The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.
(x - 3)^2 + (y - 6)^2 = 17
Answer:
8 -7/16 y+4/5 p - 3/8 y
-7/16 y -3/8 y expand fraction so it would turn to
-7y/16-3y/8
multiply by 2 on the 3/8 to get a common demominator
-7y/16-6y/16
-7y-6y/16
collect like terms
-13y/16
rewrite fraction
- 13/16y
so the whole equation would turn into
8-13/16y+4/5p
Answer:
1 13/28
Step-by-step explanation:
3×4/28 + 5×4/28. it 28 because the lcm of 4 and 7 is 28
21/28+20/28=41/28=1 13/28
Answer:
5.4
Step-by-step explanation:
3x+38=10x
-3x -3x
38=7x
x=5.4
Brainliest pleaseeeeeee
