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
IRINA_888 [86]
3 years ago
5

An ellipse has a center at the origin, a vertex along the major axis at (10, 0), and a focus at (8, 0). Which equation represent

s this ellipse?

Mathematics
2 answers:
My name is Ann [436]3 years ago
6 0

Answer: A

Step-by-step explanation:

Alchen [17]3 years ago
3 0
Check the picture below.  So the ellipse looks more or less like so.

since the major axis is over the x-axis, is a horizontal ellipse, notice the "a" component length and the value for "c".

\bf \textit{ellipse, horizontal major axis}
\\\\
\cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1
\qquad 
\begin{cases}
center\ ( h, k)\\
vertices\ ( h\pm a,  k)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{ a ^2- b ^2}
\end{cases}\\\\
-------------------------------

\bf \begin{cases}
h=0\\
k=0\\
a=10\\
c=8
\end{cases}\implies 8=\sqrt{a^2-b^2}\implies 8^2=a^2-b^2\implies b^2=10^2-8^2
\\\\\\
b=\sqrt{100-64}\implies b=6
\\\\\\
\cfrac{(x-0)^2}{10^2}+\cfrac{(y-0)^2}{6^2}=1\implies \cfrac{x^2}{100}+\cfrac{y^2}{36}=1

You might be interested in
Part A Prove that when x > 1, a triangle with side lengths a = x2 − 1, b = 2x, and c = x2 + 1 is a right triangle. Use the Py
Nataly [62]

Step-by-step explanation:

Given : A triangle with side lengths a = x^2-1, b = 2x, \text{ and } c = x^2 + 1

To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?

Solution :

For right triangle the Pythagorean theorem is to be satisfied.

i.e. c^2=a^2+b^2

Here, a = x^2-1, b = 2x, \text{ and } c = x^2 + 1

Substitute the values,

(x^2+1)^2=(x^2-1)^2+(2x)^2

x^4+1+2x^2=x^4+1-2x^2+4x^2

x^4+1+2x^2=x^4+1+2x^2

LHS=RHS

It is a right triangle.

7 0
4 years ago
{12x + 4y = 15232x + 12y = 42012x + 4y = 15232x + 12y = 420 In the equations, xx represents the cost of a chicken lunch and yy r
a_sh-v [17]
{12x 4y = 15232x 12y = 42012x 4y = 15232x 12y = 420?In the equations, xx represents the cost of a chicken lunch and yy represents the cost of a v.... I think...  "Xx represents the cost of a chicken lunch..."

6 0
3 years ago
The figure shows the path of a track. It consists of a semicircular arc BCD and three sides of a rectangle in which AB = 20 cm,
fredd [130]

\large \mathcal{Answer}

A. Area of given figure = 280 + 77 = 357 cm²

B. length of semicircle = 22 cm

7 0
3 years ago
The following table shows how the average constituency changes for two regional governing boards, joshua and salinas, when a new
AVprozaik [17]

The relative unfairness of an apportionment that gives a new board member to joshua rather than to salinas will be

<h3>How to calculate the values?</h3>

The relative unfairness of an apportionment that gives a new board member to joshua rather than to salinas will be:

= (1520 - 1232)/1232

= 288/1232

= 0.234

The relative unfairness of an apportionment that gives a new board member to salinas rather than to Joshua will be:

= (1448 - 1333)/1333

= 115/1333

= 0.086

The regional governing board that should receive the new board member is Salinas.

Learn more about tables on:

brainly.com/question/3632175

#SPJ1

5 0
2 years ago
Pls hurry will give brainlyest or whatever !!!
abruzzese [7]

Answer:

26

Step-by-step explanation:

10+(10x3)-2(10-3)=

10+30+-2(7)=

40-14=

26

4 0
3 years ago
Other questions:
  • A line passes through point (-2, 5) and has a slope of 2/3. Points A(x, 3) and B(-2, y) lie on the line. The value of x is____,
    10·1 answer
  • Select the clause from the drop-down menu to correctly complete the sentence.
    10·1 answer
  • Which expressions is equivalent to j(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)
    5·2 answers
  • Whether or not the expression shows wxponetial growth or decay
    12·1 answer
  • Choose the graph of the function.<br> f(x)= 4•2^x
    5·1 answer
  • Math help please urgent please help
    13·1 answer
  • Kendra flips a coin two times. What is the probability that she will flip tails both times?​
    12·1 answer
  • Just 2 and 3 .....................................
    15·1 answer
  • PLZ HELP
    8·2 answers
  • A laptop is on sale for 45% off the regular price. If the sale price is $299.75, what was the original price?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!