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GarryVolchara [31]
3 years ago
13

Simplify the expression (x^19 times y^21) divided by (x^2 times y^6)^2

Mathematics
1 answer:
Lyrx [107]3 years ago
3 0

Answer:

x^{15}.y^{9}

Step-by-step explanation:

\frac{x^{19} . y^{21}}{(x^2. y^6)^2} \\\\Here\,\, exponent\,\, rules\,\, will\,\, be\,\, used.\\First\,\, multiply\,\, power\,\, of \,\,2\,\, with\,\, denominator \,\,exponents\\\\\frac{x^{19} . y^{21}}{x^4. y^{12}}\\If \,\, same\,\, bases\,\, are\,\, divided\,\, then\,\, their\,\, exponents\,\, are \,\,subtracted\,\,\\\\x^{19-4}.y^{21-12}\\\\x^{15}.y^{9}

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Triangle XYZ is rotated 90° clockwise about the origin.
Vlad [161]

Answer:

(1,3)

Step-by-step explanation:

Rotating clockwise means that you're rotating by a negative angle measure. The rule for rotating -90 degrees is (x,y)->(y,-x). X is (-3,1) so X' should be (1,3) since you negate -3 to get 3 and switch the x and y coordinates.

4 0
3 years ago
Please Help Me On These Math Questions!!!!! Solve Each System By Elimination
nekit [7.7K]
11) -x + y = -1 ; 2x - y = 0
y = -1 + x ; 2x - (-1+x) = 0 ⇒ 2x + 1 - x = 0 ⇒x = -1 
y = -1 + (-1) ⇒ y = -2

12) -2x + y = -20 ; 2x + y = 48
y = -20 + 2x ; 2x + (-20 + 2x) = 48 ⇒ 2x -20 + 2x = 48 ⇒ 4x = 48 + 20
                      4x = 68 ⇒ x = 68/4 ⇒ x = 17
y = -20 + 2(17) ⇒ y = -20 + 34 ⇒ y = 14

13) 3x -y = -2 ; -2x + y = 3
y = 3 + 2x ; 3x - (3 + 2x) = -2 ⇒ 3x - 3 - 2x = -2 ⇒ x = -2 + 3 ⇒ x = 1
y = 3 + 2(1) ⇒ y = 3 + 2 ⇒ y = 5

14) x - y = 4 ; x - 2y = 10
x = 4 + y ; (4 + y) - 2y = 10 ⇒ 4 + y - 2y = 10 ⇒ 4 - y = 10 
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x = 4 + (-6) ⇒ x = 4 - 6 ⇒ x = -2

15) x + 2y = 5 ; 3x + 2y = 17
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5 0
3 years ago
Read 2 more answers
Which is the best way to write (8/x) as a verbal expression?
Elanso [62]

Answer:

None of these.

Step-by-step explanation:

8/x is the result when 8 is divided by x.

4 0
3 years ago
What is the difference between centroid orthocentre and circumcentre​
Sergeu [11.5K]

Answer:

centroid- the point of concurrency of the <em>medians.</em>

<em />

orthocenter- the point of concurrency of the <em>altitudes.</em>

<em />

circumcenter- the point of concurrency of the <em>perpendicular bisectors.</em>

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hope this helps :)

3 0
3 years ago
What is the result of adding these two equations? 6 x + 2 y = − 2 3 x − 2 y = − 5 6x+2y 3x−2y ​ =−2 =−5 ​
stellarik [79]

Answer:

The result gives the equation: 9x = -7

solution:  (-7/9, 4/3)

Step-by-step explanation:

6 x + 2y = − 2

and

3 x − 2y = − 5

add together

6x + 3x + 2y - 2y = -2 + -5

9x + 0 = -7

9x = -7

then x = -7/9

and y = -3x - 1:

y = -3*(-7/9) - 1

y = 7/3 - 1 =  4/3

solution:  (-7/9, 4/3)

-----------------------------------------

6x+2y= -2   and 3x−2y ​ =−5 ​

6x + 3x  + 2y - 2y = -2 + -5

7 0
3 years ago
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