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2 years ago

Pls click the screnshot

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

7 0

Answer:

Step-by-step explanation:

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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

The volume of a brick 3 inches wide, 8 inches long, and 4 inches tall is:

Vladimir [108]

96 square inches

Hope it helps

6 0

2 years ago

PLZ HELP ASAP WILL MARK BRAINLIEST

RSB [31]

Answer:

72 $\sqrt{3}$

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = $\frac{1}{2}$ × d₁ × d₂ (d₁ and d₂ are the diagonals )

The diagonals bisect each other at right angles

d₁ = 2 × 6 = 12

Use the tangent ration in the upper left right triangle and the exact value

tan60° = $\sqrt{3}$

tan60° = $\frac{opposite}{adjacent}$ = $\frac{opp}{6}$ = $\sqrt{3}$ ( multiply both sides by 6 )

opp = 6 $\sqrt{3}$ , then

d₂ = 2 × 6 $\sqrt{3}$ = 12 $\sqrt{3}$

Thus

A = $\frac{1}{2}$ × 12 × 12 $\sqrt{3}$ = 6 × 12 $\sqrt{3}$ = 72 $\sqrt{3}$

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2 years ago

What is the measure of ZBAQ 1 B 84 0 x 140

Dahasolnce [82]

Answer:

117.600

Step-by-step explanation:

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3 years ago

Use the factor tree to find the prime factorization of 100.

Stolb23 [73]

Answer:

2 x 2 x 5 x 5

.....,..........

8 0

2 years ago

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