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3 years ago

If two figures have the same perimeter, they are congruent. True or false?

2 answers:

7 0

False.

Two figures may be different shape and have the same perimeter (a square and a circle, for example). If they are different shape, they will not be congruent.

AveGali [126]3 years ago

5 0

False, a trapezoid and a square can have the same perimeter but not be confruent<span />

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3 years ago

a. Rewrite the equation in exponential form.b. Create a table of coordinates, using the exponential form from part (a). Begin by

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The lograthmic function, lograthmic fu

$y=\log_4x$

To find:

a) Rewrite the function in exponential form.

b) For each given value of y, find the value of x to complete the ordered pair.

c) The graph of the function.

Explanation:

It is given that,

$y=\log_4x$

a) Since,

It is known that,

$\begin{gathered} y=\log_ax \\ \Rightarrow x=a^y \end{gathered}$

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$x=4^y$

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b) Also,

For y = -2,.

The value of x is given by,

$\begin{gathered} \\ \Rightarrow x=4^{-2} \\ \Rightarrow x=\frac{1}{4^2} \\ \Rightarrow x=\frac{1}{16} \end{gathered}$

Hence, the ordered pair is (1/16, -2).

For y = -1,

$\begin{gathered} x=4^{-1} \\ x=\frac{1}{4} \end{gathered}$

Hence, the ordered pair is (1/4, -1).

For y = 0,

$\begin{gathered} x=4^0 \\ x=1 \end{gathered}$

Hence, the ordered pair is (1, 0).

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$\begin{gathered} x=4^1 \\ x=4 \end{gathered}$

Hence, the ordered pair is (4, 1).

For y = 2,

$\begin{gathered} x=4^2 \\ x=16 \end{gathered}$

Hence, the ordered pair is (16, 2).

c) Also, the graph of the given function is,

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