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olga55 [171]
3 years ago
12

#1) Is 9*6+9*x equivalent to 9(6+x)

Mathematics
1 answer:
kvasek [131]3 years ago
6 0
9(6+x)

by the distributive property,
distributing the 9 to each term in the brackets,
we get,

9*6 + 9*x

So yes, #1 is true.
---------------------------------------------------------------
(x+8)9

again by the distributive property,
giving the 9 to each term in the brackets,

x*9 + 8*9

which is NOT the same as

x + (8*9)

so #2 is false.

Hope that helps.
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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,

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I dont know if I am right

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