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
ivolga24 [154]
3 years ago
5

X² + 4y² = 36 The major axis runs along: A) y=4x B) x-axis C) y-axis

Mathematics
2 answers:
Keith_Richards [23]3 years ago
5 0

Answer:

Option B - x-axis.                                  

Step-by-step explanation:

Given : Equation x^2+4y^2=36

To find : The major axis runs along?

Solution :

The given equation is an ellipse the general form of an ellipse is

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1

Converting into general form of an ellipse,

x^2+4y^2=36

Divide by 36 both side,

\frac{x^2}{36}+\frac{4y^2}{36}=\frac{36}{36}

\frac{x^2}{36}+\frac{y^2}{9}=1

\frac{x^2}{6^2}+\frac{y^2}{3^2}=1

Here, a=6 and b=3

Since, a>b then the major axis of the ellipse is parallel to the  x-axis.

Therefore, The major axis runs along x-axis of the equation x^2+4y^2=36

So, Option B is correct.

choli [55]3 years ago
3 0

Answer:

The major-axis runs along the x-axis.

Step-by-step explanation:

You might be interested in
John has a bag of different colored marbles. He has 6 red marbles, 3 blue marbles, 7 yellow marbles, and 5 green marbles. if Joh
zhannawk [14.2K]

Answer:

Its a 15% chance

Step-by-step explanation:

15% is the probability of the blue marble

3 0
3 years ago
Find the positive value of x in the geometric sequence 7x-2,4x+4,3x
Goryan [66]
Hello,


Let's assume k the ratio.


 \left \{ {{3x=k*(4x+4)} \atop {4x+4=k*(7x-2)}} \right. \\\\
 \left \{ {{3x-4kx=4k} \atop {4x-7kx=-2k-4}} \right. \\\\
 \left \{ {{x(3-4k)=4k} \atop {x(4-7k)=-2k-4}} \right. \\\\
 \left \{ {{x=\dfrac{4k}{3-4k} \atop {x=\dfrac{-2k-4}{4-7k} \right. \\\\

\dfrac{4k}{3-4k}=\dfrac{-2k-4}{4-7k}\\\\

36k^2-6k-12=0\\
6k^2-k-2=0\\

\boxed{k= \dfrac{2}{3} \ or\ k= -\dfrac{1}{2}}\\\\

x=\dfrac{4*\dfrac{2}{3} }{3-4*\dfrac{2}{3} }=8\\
x=\dfrac{4*\dfrac{-1}{2} }{3-4*\dfrac{-1}{2} }=-\dfrac{2}{5}\\







\boxed{x= 8 \ or\ x= -\dfrac{2}{5}}\\\\





5 0
3 years ago
Helppp...!!! please...!!!​
vesna_86 [32]

Answer:

middle one, it is he line of best fit

4 0
3 years ago
Read 2 more answers
Factor.<br> 2y? + 13y+21
diamong [38]

Answer:

3(5y+7)

Step-by-step explanation:

4 0
3 years ago
Jackrabbits are capable of reaching up to 40 miles per hour. How fast is this in feet per second? ( round to the nearest whole n
yawa3891 [41]

Jackrappits can reach a speed of about 59 feet per second.

8 0
3 years ago
Other questions:
  • A cone shaped paper cup is 2.5 inches high and has a diameter of 3 inches. Ehat is volume to the nearest hundredth
    5·1 answer
  • There are 24 students on the field trip. How many parents will be needed to put them into groups of 3?
    9·1 answer
  • 38=2a+54 solve equation check your answer
    9·1 answer
  • Enrique leaves his house and starts to run at an average speed of 6 miles per hour. Half an hour later, Enrique’s younger (and f
    7·1 answer
  • How do I find number 2?
    13·1 answer
  • 1) A worm digs 11/12 of an inch in one minute. Then, it digs another 1 3/4 of an inch in two minutes. What is the position of th
    14·2 answers
  • Is 3x+4y=8 parallel or perpendicular
    10·1 answer
  • The sale price is $6.85 less than the regular price. The sale price is
    6·1 answer
  • If I get 100 dollars a week for four months how much will I have
    6·2 answers
  • Simplify the expression below:<br><br> p ÷ (-5) ≥ - 9<br><br> ⮜|-------|--------|➤
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!