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OLEGan [10]
4 years ago
6

Which expression is equivalent to r^9/r^3

Mathematics
2 answers:
BARSIC [14]4 years ago
8 0

Answer:

The correct option is B.

Step-by-step explanation:

The given expression is

\frac{r^9}{r^3}

According to the property of exponent,

\frac{x^a}{x^b}=x^{a-b}

Using this property of exponent, we get

\frac{r^9}{r^3}=r^{9-3}

\frac{r^9}{r^3}=r^{6}

The expression r^{6} is equivalent to the given expression.

Therefore the correct option is B.

Deffense [45]4 years ago
4 0
\cfrac{r^9}{r^3} =r^{9-3}=r^6
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Answer:

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Step-by-step explanation:

Distribute 10 in the equation

10 x 3 + 10 x 4 = 70

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Problem: a circle is inscribed in a square. The squares perimeter is 16 times the square root of 6. What is the probability of s
Oksi-84 [34.3K]
I got 21% at selecting a point outside.
Explanation: Since the perimeter is 16sqrt (6), each side must be 4sqrt (6)
This also means that the diameter is 4sqrt (6).

To find the area of a circle, we need to find the radius (2sqrt (6)).
Area of circle is pi × (2sqrt (6))^2 = 24pi or approximately 75.4 units^2
Area of square is 4sqrt (6)^2 = 96

Thus, let's take the area of the circle and subtract that from the area of our square to yield approx. 20.6 units^2
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Step-by-step explanation:

s is inversely proportional to t

If s= 0.6 , t= 4

s=k/t

0.6= k/4

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t=k/s

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padilas [110]

Step-by-step explanation:

<u>Formula:</u>

\boxed{a = 3.14(r)^{2} }

r represents the radius.

The radius is 1/2 of the diameter.

Since 1/2 of 16 is 8, 8 is our radius.

<u>Substitute:</u>

a = 3.14(8)^{2}

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a = 3.14(64)

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6 0
2 years ago
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Find the value of c that completes the square for x2−15x+c
meriva

Answer:

The value of <em>c</em> is \frac{225}{4}.

Step-by-step explanation:

The perfect square of the difference between two numbers is:

(x-y)^{2}=x^{2}-2xy+y^{2}

The expression provided is:

x^{2}-15x+c

The expression is a perfect square of the difference between two numbers.

One of the number is <em>x</em> and the other is √<em>c</em>.

Use the above relation to compute the value of <em>c</em> as follows:

x^{2}-15x+c=(x-\sqrt{c})^{2}\\\\x^{2}-15x+c=x^{2}-2\cdot x\cdot\sqrt{c}+c\\\\15x=2\cdot x\cdot\sqrt{c}\\\\15=2\cdot\sqrt{c}\\\\\sqrt{c}=\frac{15}{2}\\\\c=[\frac{15}{2}]^{2}\\\\c=\frac{225}{4}

Thus, the value of <em>c</em> is \frac{225}{4}.

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3 years ago
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