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algol13
4 years ago
10

Express 72×12 in the exponential form​

Mathematics
1 answer:
kobusy [5.1K]4 years ago
3 0
72*12 = 2*2*2*2*2*3*3*3 = 2^5*3^3
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What is the sum of 1+2+.....+50?​
Natasha_Volkova [10]

Answer:

<u>sum</u><u> </u><u>is</u><u> </u><u>1</u><u>2</u><u>7</u><u>5</u>

Step-by-step explanation:

sum =  \frac{n}{2} [2a + (n - 1)d] \\  \\ sum =  \frac{50}{2} [(2 \times 1) + (50 - 1) \times 1] \\  \\ sum = 25(51) \\ sum = 1275

7 0
3 years ago
WHAT IS X³-27 SIMPLIFIED
Eduardwww [97]

Answer:

<u>It</u><u> </u><u>is</u><u> </u><u>(</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>)</u><u>³</u><u> </u><u>-</u><u> </u><u>9</u><u>x</u><u>(</u><u>3</u><u> </u><u>-</u><u> </u><u>x</u><u>)</u>

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

=  {x}^{3}  -  {3}^{3}

From trinomial expansion:

{(x - y)}^{3}  = (x - y)(x - y)(x - y) \\

open first two brackets to get a quadratic equation:

{(x - y)}^{3}  = ( {x}^{2}  - 2xy +  {y}^{2} )(x - y)

expand further:

{(x - y)}^{3}  =  {x}^{3}   - y {x}^{2}  - 2y {x}^{2}  + 2x {y}^{2}  + x {y}^{2}  -  {y}^{3}  \\  {(x - y)}^{3}  =  {x}^{3}  -  {y}^{3}  + 3x {y}^{2}  - 3y {x}^{2}  \\  {(x - y)}^{3}  =  {x}^{3}  -  {y}^{3}  + 3xy(y - x) \\  \\ { \boxed{( {x}^{3} -  {y}^{3} ) =  {(x - y)}^{3}   - 3xy(y - x)}}

take y to be 3, then substitute:

( {x}^{3}  - 3^3) =  {(x - 3)}^{3}  - 9x(3 - x)

5 0
3 years ago
2.<br> what do i put im confused and dont know how to do this
Paha777 [63]

Answer:

Step-by-step explanation:

The two dots on the bottom of this figure define the base of a triangle.  If we now use a compass to draw the blue arcs on either side, as shown, the arcs will intersect at two points.  A straight line drawn through these two points will be perpendicular to the base. The triangle will be isosceles and could be (but doesn't have to be) equilateral.

3 0
3 years ago
Help pleaseeeeee nowwwwww
Snezhnost [94]

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

5 0
4 years ago
Can someone help me with this please,thanks also giving brainlest.
Shalnov [3]
You would multiply 100 by 6 to get the 6 away from m. this leaves m on one side of the equal sign and 6•100 on the other. multiply that out, which is 600. so m=600.
7 0
3 years ago
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