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erastova [34]
4 years ago
12

Evaluate 

=" {9}^p{3} " align="absmiddle" class="latex-formula">
{9}^c{6}


 
Mathematics
1 answer:
larisa86 [58]4 years ago
6 0
You know, if you check your calculator, it has a [ ₙPᵣ ] and also an [ ₙCᵣ ] button, and you could use that, now, if you want the factorial version, 

\bf _nP_r=\cfrac{n!}{(n-r)!}\qquad \qquad \qquad \qquad _nC_r=\cfrac{n!}{r!(n-r)!}
\\\\\\
_9P_3=\cfrac{9!}{(9-3)!}\qquad \qquad \qquad \qquad _9C_6=\cfrac{9!}{6!(9-6)!}
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Help meeee with this questionnnnnnnnnn!!!!!!!!!!!!
Dafna1 [17]

Given:

The scale factor between two circles is \dfrac{2x}{5y}.

To find:

The ratio of their areas.

Solution:

We know that, all circles are similar.

The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.

The scale factor is the ratio of the corresponding sides.

Ratio of areas of circles = Square of scale factor between two circles

\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2

\text{Ratio of areas of circles}=\dfrac{(2x)^2}{(5y)^2}

\text{Ratio of areas of circles}=\dfrac{4x^2}{25y^2}

Therefore, the correct option is D.

3 0
3 years ago
Y intercepts of 3x^2-12x+6
Inessa05 [86]
Y=3x^2. -12x+6

If x= 0 then y= 3•0^2 -12•0+6=6
X=0, y=6

y intercept is the place where the curve touches the y-axis and is at point (0, 6)
6 0
3 years ago
Jackson bought 3 pounds of candies for $9.75 What was the price of these candies in dollars per pound?
Stels [109]
9.75 dollars divided by 3 pounds equals 3.25 per pound
8 0
4 years ago
Round 125.3546 to 1 decimal place
Gekata [30.6K]
There are maybe like 1% of 125.3546
3 0
3 years ago
Solve showing all work and simplify completely:<br> 9/18 + 1/3
ss7ja [257]

Answer:

5/6

Step-by-step explanation:

9/18 + 1/3 <Need the same denominator so find the lowest common multiple.

3 6 9 12 15 18 < multiples of 3

if 3 goes into 18 than it will be our LCM

3 goes into 18 6 times so multiply 1 and 3 by 6 and rewrite the equation

9/18 + 6/18 < just add 9 + 6 and place it over 18

15/18 <this number can be simplified so write out their factors and pick the highest one to divide by one they have in common.

1 3 5 15 <Factors of 15

1 2 3 6 9 18 <Factors of 18

3 is the highest one they both have so divide both 15 and 18  by 3

15/3 is 5 and 18/3 is 6

put the 5 and 6 in their proper places and you have 5/6 or .83333333333...

6 0
3 years ago
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