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3 years ago

Given m Please help me I’m in need!!

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

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Which of the following is the equation for the graph shown?a. x^2/144+y^2/95=1b. x^2/144-y^2/95=1c. x^2/95+y^2/144=1d. x^2/95-y^

Andrews [41]

e follSOLUTION

Given the question in the image, the following are the solution steps to answer the question

STEP 1: Write the general equation of an ellipse

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

STEP 2: Identify the parameters

the length of the major axis is 2a

the length of the minor axis is 2b

$\begin{gathered} 2a=24,a=\frac{24}{2}=12 \\ 2b=20,b=\frac{20}{2}=10 \end{gathered}$

STEP 3: Get the equation of the ellipse

$\begin{gathered} By\text{ substitution,} \\ \frac{(x-h)^2}{a^2}+\frac{(y-h)^2}{b^2}=1 \\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{10^2}=1=\frac{x^2}{144}+\frac{y^2}{100}=1 \end{gathered}$

STEP 4: Pick the nearest equation from the options,

Hence, the equation of the ellipse in the image is given as:

$\frac{x^2}{144}+\frac{y^2}{95}=1$

OPTION A

8 0

1 year ago

What is the solution of the system?y=-8x-2 and y=-6x+4

Tcecarenko [31]

Hello :
y=-8x-2 and y=-6x+4
-8x-2 = -6x +4
-8x+6x =2+4
-2x =6
x = - 3
y = -6(-3)+4 =22

8 0

3 years ago

Use the graph below to answer the question that follows:

Alborosie

Answer:

Step-by-step explanation:

x 1 = π , x 2 = 3 π/ 2

y 1 = - 1, y 2 = 2

The Rate of change = ( y 2 - y 1) / ( x 2 - x 1 )=

= [2 -( -1 )] : ( 3 π /2 - π ) = 3 : π/2 = 6 / π ≈ 1.91

8 0

2 years ago

7 cm 10.5 cm 13 cm Your Turn! 3 m 15 m 11 m 5m

daser333 [38]

Answer: number 1 . 6688.5 then rounded is 6689.

Number 2. 2475

Step-by-step explanation:

3 0

3 years ago

Anyone know the answer

Aleks [24]

Hello,

Answer D

$\begin{array}{|c|c|}x&y\\--&-------------\\-1&-3*\sqrt{-1+1} =-3*0=0\\0&-3*\sqrt{0+1} =-3*1=-3\\3&-3*\sqrt{3+1} =-3*2=-6\\8&-3*\sqrt{8+1} =-3*3=-9\\15&-3*\sqrt{15+1} =-3*4=-12\\--&-------------\\\end{array}$

5 0

3 years ago