1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
V125BC [204]
3 years ago
10

7) What is/are the center,

Mathematics
1 answer:
o-na [289]3 years ago
3 0

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

You might be interested in
The ordered pair R(-2, 7) is translated 5 units to the right and 2 units down.
Usimov [2.4K]
Left and right affect domain. (x)

Up and down effects range. (y)

So,

-2+5 (because the right of the number line is an increase)

7-2 (because you are decreasing by going down)

You are left with:

R'(3,5)

I hope this helps!
~cupcake
8 0
3 years ago
Nine -tenths of zak's friends do volunteer work after school. what is nine-tenths in standard form?
alisha [4.7K]
9/10 = 0.9 = (9) 1 tenths.
8 0
3 years ago
Find the sum of the first 50 terms.<br> 10-2/11n
Alexus [3.1K]

Answer:

in picture

yw :D

6 0
2 years ago
F(x) = x2 what is g(x)?
Naily [24]

Answer:

i got the same problem

Step-by-step explanation:

3 0
3 years ago
The base and the altitude of a triangle
marishachu [46]

Answer:

base=6

Step-by-step explanation:

\frac{base}{altitude}=\frac{1}{2}~=>2*base=altitude\\\\area=\frac{1}{2}base*altutude=\frac{1}{2}base*(2base)=base^2=36~=>base=6\\\\

5 0
3 years ago
Other questions:
  • Can someone help me with number two please?
    7·2 answers
  • Expanded form for 3,029,251
    8·2 answers
  • What percent is...<br> 50% of 150% of x?
    14·2 answers
  • The equation y = −2x + 3 is the boundary line for the inequality y ≤ −2x + 3. Which sentence describes the graph of the inequali
    7·2 answers
  • 1.15 unit test MTH07B<br><br> Solve.<br><br> 5a - 12 = -2
    5·1 answer
  • Patty said that 15.39 ÷ 0.95 equals 0.162.
    5·1 answer
  • Peyton needed to get her computer fixed. She took it to the repair store. The
    6·1 answer
  • I need this answer ASAP
    12·2 answers
  • SOMEONEE HELPPP MEE!!!
    10·1 answer
  • Help me out please asp
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!