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2 years ago

Find the perimeter of a rectangle if the length is 6y + 10 and the width is y - 3

Mathematics

1 answer:

kipiarov [429]2 years ago

6 0

Step-by-step explanation:

Given that,

Length = 6y + 10
Width = y – 3

$\implies \sf Perimeter = 2(L + W) \\ \implies \sf P= 2(6y + 10 + y - 3) \: units \\ \implies \sf P= 2(7y +7) \: units \\ \implies \red{\sf P= 14y + 14 \: units} \\$

Therefore, perimeter is (14y + 14) units.

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2 years ago

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

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1 year ago

Two standard number cubes are thrown. Find the probability that the sum of the numbers showing is ten given that the first numbe

Sergio [31]

Given that the first number shows up as four. The second number should be six so that the sum would be ten. Therefore, its probability should be 1/6.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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3 years ago

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2 years ago

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Answer:

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they were just dilated differently

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2 years ago

Read 2 more answers