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kakasveta [241]
3 years ago
13

Factorise 125x^3 -27y^3

Mathematics
1 answer:
telo118 [61]3 years ago
6 0

Answer:

(5x - 3y)(25x² +15xy + 9y²)

Step-by-step explanation:

125x³ - 27y³ is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

Given

125x³ - 27y³

= (5x)³ - (3y)³

= (5x - 3y)((5x)² + (5x)(3y) + (3y)²)

= (5x - 3y)(25x² + 15xy + 9y²)

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A parallelogram has coordinates A(1, 1), B(5, 4), C(7, 1), and D(3, -2). What are the coordinates of parallelogram A′B′C′D′ afte
saul85 [17]

Hey there! I'm happy to help!

First, we need to rotate our points 180° about the origin. To find the coordinates after such a rotation, we simply find the negative version of each number in the ordered pair, which can be written as (x,y)⇒(-x,-y).

Let's convert this below

A: (1,1)⇒(-1,-1)

B: (5,4)⇒(-5,-4)

C: (7,1)⇒(-7,-1)

D: (3,-2)⇒(-3,2)

Now, we need to translate these new points five units to the right and one unit down. This means we will add 5 to our x-value and subtract 1 from our y-value. This will look like (x,y)⇒(x+5,y-1). Let's do this below.

A: (-1,-1)⇒(4,-2)

B: (-5,-4)⇒(0,-5)

C: (-7,-1)⇒(-2,-2)

D: (-3,2)⇒(2,1)

Therefore, this new parallelogram has coordinates of A'(4,-2), B'(0,-5), C'(-2,-2), and D'(2,1)

Now you know how to find the coordinates of translated figures! Have a wonderful day! :D

5 0
3 years ago
For what values of k does the equation kx²+(k+1)+k=0 have equal roots?​
Paladinen [302]

Answer: k=-1/x^2+2

         

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
PLEASE PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
erastova [34]

Answer:

B. y = -1/2x

Step-by-step explanation:

Because the answer is in point-slope intercept form, we know -1/2 is m. Also, because the equation is setting y equal to x, we know it goes through the origin.

3 0
3 years ago
Can somebody please help me and how do you do this step by step and I need the formula for this please.
Ksivusya [100]

radius of ½ circle = d : 2

= 6in : 2 = 3in

Total area = Rectangle area + ½Circle area + Triangle area

= (l×w) + ½(π×r²) + (½×b×h)

= (10×6) + ½(π×3²) + (½ × (14-10) × 6)

= 60 + 14.14 + 12 = 86.14in

<h3 /><h3 /><h3>Answer : 86.14in</h3>

<em>See</em><em> </em><em>the</em><em> </em><em>bold</em><em> </em><em>one</em><em> </em><em>in</em><em> </em><em>line</em><em> </em><em>2</em><em> </em><em>of</em><em> </em><em>total</em><em> </em><em>area</em><em>,</em><em> </em><em>thats the</em><em> </em><em>formula</em><em> </em><em>of</em><em> </em><em>all</em><em> </em><em>shape</em><em>.</em>

8 0
3 years ago
Total area of two room <br> Help due soon (no link)
AlladinOne [14]
The answer is B, 2136

Explanation:
48-28 = 20. Now 20 times 20 equals 400, now remember that number.
Now 28 times 62 equals 1,736.
Now back to 400.
400+1736 equals 2,136.

Hope I helped you, please tell me if I am correct or not.

Enjoy your day!
:)
4 0
3 years ago
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