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2 years ago

Find the value of x.

Mathematics

2 answers:

FinnZ [79.3K]2 years ago

7 0

Answer:

x = 5

Step-by-step explanation:

14x + 22x = 180

36x = 180

x = 5

Sladkaya [172]2 years ago

4 0

Answer:

$\huge\boxed{⎆Answer\hookrightarrow}$

The 2 angles in the given picture form supplementary angles. So, together they'll add up to 180°.

 $14x + 22x = 180 \\ 36x = 180 \\ x = \frac{180}{36} \\ x = 5$ 

⇻ The value of X is 5.

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3 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^

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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,

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

which inequality represents all values of x for which the quotient below is defined?√8x^2 divided by √2x

MA_775_DIABLO [31]

Answer:

The function is defined when x > 0

Step-by-step explanation:

Functions with radicals are only undefined when the value in the radical is negative, because the root of a negative number is imaginary.

We know the function is undefined when the denominator is equal to zero. $\sqrt{2x}$ is equal to zero when x=0.

We also know that functions with radicals are undefined when the value in the radicals are negative, because the root of a negative number is imaginary. . $8x^{2}$ will always be positive, but $2x$ is negative when x < 0.

So the function is undefined when x = 0, and when x < 0.

Therefore it is defined when x > 0

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3 years ago