Find the perimeter of this complex figure

Mathematics

1 answer:

denpristay [2]3 years ago

6 0

Answer:

Step-by-step explanation:

9 + 10 + 2 + 6 + (9 - 2) + (10 - 6) = 38

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What is the slope of the line described 16x = 4y + 1

Dvinal [7]

Answer: The slope is 4x.

Step-by-step explanation: First, subtract 4y from both sides to get 16x-4y=1. Next, subtract 16x from both sides to get -4y=-16x+1. Finally, divide all terms by -4 to get y=4x-0.25. The slope is represented by 4x.

4 0

3 years ago

4x+2> or equal to 14 and -21x+1>22, find all real numbers for x

astraxan [27]

$4x+2\geq 14\ and -21x+1>22 \\\\4x\geq 12 \ |:3\ and \ -21x>21 \ |:(-21)\\\\ x\geq 3 \ and \ x$
No solutions

8 0

3 years ago

What is the relationship between exponentials and logarithms? How can you use these to solve equations? Provide an example in yo

Sveta_85 [38]

Answer:

Exponentials and logarithms are inverses of each other.

Step-by-step explanation:

Exponentials and logarithms are inverses of each other.

For logarithmic function:

Domain = $\left ( 0,\infty \right )$ , Range = $\left ( -\infty ,\infty \right )$

Vertical asymptote is y - axis.

x - intercept is (1,0)

For exponential function:

Domain = $\left ( -\infty ,\infty \right )$ , Range = $\left ( 0,\infty \right )$

Horizontal asymptote is x - axis.

y- intercept is (0,1)

Both exponential and logarithmic functions are increasing.

For example:

Solve: $\log x=\frac{\log 5+\log 3}{\log 3^2}$

$\log x=\frac{\log 5+\log 3}{\log 3^2}\\\log x=\frac{\log (5\times 3)}{2\log 3}\,\,\left \{ \because \log (ab)=\log a+\log b\,,\,\log a^b=b\log a \right \}\\=\frac{\log 15}{2\log 3}$