What is equivalent to 9^2•9^6

Mathematics

2 answers:

IrinaK [193]3 years ago

5 0

9^2 • 9^6 = 9^(2 + 6) = 9^8

shutvik [7]3 years ago

4 0

9^8

Because if you add the exponents (2+6) you get 8 and you keep the base number (9) so you get 9^8

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Which rectangular equation is equivalent to the polar equation r csc theta=8?

Drupady [299]

Rectangular and polar forms are two forms of equations that translates to plot. In this case, the two forms are convertible to each other by the expressions:

r sin theta = y
r cos theta = x
x2 + y2 = r2

we are given the polar expression r csc theta = 8 and is asked to convert to rectangular form.

in this case, csc theta is equal to 1/ sin theta. thys
r / sin theta = 8

in order to make use of the equations above, then

we multiply r to both numerator and denominator in the left side, that is
r^2 / r sin theta = 8
x2+y2 / y = 8
x 2 + y2 = 8y

3 0

3 years ago

1615/170 simplify show work

Sloan [31]

1615/170

We first need to convert this into a proper fraction. Which means that the denominator must be larger than the numerator for it to be proper. Also, since 1615 is BIGGER than 170, we will end up with a mixed fraction. A mixed fraction always has a whole number.

1615 can go into 170 how many times?

9 times

170*9 = 1530

Now subtract.

1615 - 1530 = 85

Now we have our mixed fraction: 9 85/170

Now we must simplify the fraction.

85/5 = 17
170/5 = 34

17/34 is the smallest possible fraction we can get.

9 17/34

Final answer: $9 \frac{17}{34}$

3 0

3 years ago

Read 2 more answers

Henry drove 567 miles in 9 hours. At the same rate, how long would it take him to drive 315 miles?

Andrei [34K]

Answer:

in one hour = 567÷9

= 63

hence, to drive 315 miles he would need = 315×63 hours

divide yourself my dear friend.

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