Which equations are true?

Mathematics

1 answer:

liberstina [14]3 years ago

3 0

Answer:

B. D. E.

Step-by-step explanation:

A. False

${15}^{0} = 1$

B. True

$( {8}^{3} )( {8}^{6} ) = {8}^{(3 + 6)} = {8}^{9}$

C. False

${5}^{2} = 25$

D. True

$( {6}^{5} )^{3 } = {6}^{15}$

E. True

$\frac{ {3}^{7} }{ {3}^{9} } = {3}^{(7 - 9)} = {3}^{ - 2}$

You might be interested in

If a 30 foot ladder is positioned so that the bottom of the ladder is 1/4 of its length away from the wall, how far up the wall

Dvinal [7]

Answer:

29.05 ft

Step-by-step explanation:

Using the concept of pythagoras theorem, here we have the base and hypotenuse given hence we need to find the third dimension, assuming the wall is perfectly straight and forms a right angle with the bsse of the ladder. Here, $c^{2}=a^{2}+b^{2}$ and making a the subject of the formula then $a=\sqrt {c^{2}-b^{2}}$ and substituting 30 ft for c and 0.25*30=7.5 ft for b then $a=\sqrt {30^{2}-7.5^{2}}=\sqrt {843.75}=29.047375096555626\approx 29.05 ft$

7 0

3 years ago

The graph shows the cost of purchasing T-shirts. Find the constant rate of change for the graph. Then explain what points (0,0)

Maru [420]

Answer:

See below

Step-by-step explanation:

As per the attached graph we observe that the constant rate of change is 9 as each step of horizontal change corresponds to 9 steps of vertical change

<u>It is found as the division below:</u>