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Arlecino [84]
3 years ago
5

Rewrite the expression in the form 9n (9^-3)(9^12)

Mathematics
1 answer:
julia-pushkina [17]3 years ago
6 0

Answer:

9^{9}

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} ⇔ a^{(m+n)}

Given

9^{-3} × 9^{12}

= 9^{(-3+12)}

= 9^{9}

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Answer:

b

Step-by-step explanation:

8 0
3 years ago
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Find the equation of the line that passes through (−3, 2) and the intersection of the lines x+2y=0 and 3x+y+5=0.
nadezda [96]

Answer:

The equation of the line   is y + x + 1 = 0.

Step-by-step explanation:

The given equations are :  x + 2y = 0 and 3x + y + 5 = 0

Now, finding the intersection point of the above system:

from (1) , x = -2y

put in (2), 3 (-2y) + y + 5 = 0

or, 5y = 5 ,or y = 1

If y = 1, pitting in (1), x = -2

So, the intersection lines  is (-2,1).

the other point on line is (-3,2)

Now, finding the slope m of the line : m =\frac{y_2 -y_1}{x_2 - x_1}  =\frac{2 -1}{-3 - (- 2)}

or, m = -\frac{1}{1} = -1

So, by POINT SLOPE FORM: the equation of  a line is

(y - y0) =m (x -x0),

now for (-3,2)   :   equation is  ( y - 2) = (-1) (x +3)

or, y + x + 1 = 0

Hence, the equation of the line that passes through (−3, 2) and the intersection of the lines x+2y=0 and 3x+y+5=0   is y + x + 1 = 0.

6 0
3 years ago
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Calculator
Anna11 [10]

Answer:

The formula to calculate the total surface area of a cylinder is given as, the total surface area of cylinder = 2πr(h + r), while the curved surface area of cylinder formula is, curved/lateral surface area of cylinder = 2πrh, where 'r' is the radius of the base and 'h' is the height of the cylinder.

Step-by-step explanation:

hope it helps you

because I am not getting your answer

6 0
3 years ago
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A baseball team played 32 games and lost 8. Katy was the catcher in 5/8 of the winning games and 1/4 of nthe losing games.
kaheart [24]

Answer:

fraction of the games did the team win is = \frac{3}{4}

Katy play game  = 17

Step-by-step explanation:

given data

baseball team played = 32 games

lost = 8

Katy catcher = 5/8 of winning

Katy catcher =  1/4  of losing

to find out

What fraction of the games did the team win and  how many games did Katy play

solution

we know total game = 32 and lost 8

so win is total - lost = 32 - 8 = 24

so

fraction of the games did the team win is = \frac{\frac{24}{8} }{\frac{32}{8} }  

fraction of the games did the team win is = \frac{3}{4}

and

so total game 24 winning is  \frac{5}{8}

so katy winning is  24*\frac{5}{8}

katy winning = 3 × 5 = 15

and

losing  \frac{1}{4}

total lose game 8

so Katy  lose = 8 ×  \frac{1}{4} = 2

so

Katy play game = 15 + 2 = 17

5 0
3 years ago
What type of triangle is shown <br> A) scalene<br> B) equilateral <br> C) right <br> D) obtuse
FromTheMoon [43]

Answer:

B

Step-by-step explanation:

all sides are the same

7 0
4 years ago
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