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Fofino [41]
3 years ago
5

Factorise polynomial 27y3 + 125z3​

Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0

Answer:

27y^{3} +125z^{3} =(3y)^{3} +(5z)^{3}

Apply the formula for sum of cubes: a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2})

Therefore:

\left(3y\right)^3+\left(5z\right)^3=\left(3y+5z\right)\left(3^2y^2-3\cdot \:5yz+5^2z^2\right)

=\left(3y+5z\right)\left(9y^2-15yz+25z^2\right)

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What are the coordinates of the vertex if the focus is at (5, 1) and the directrix is at y = -5?
gtnhenbr [62]

Answer:

x = 5. I dont know if this is what your looking for but good luck.

Step-by-step explanation:

I got this question too and x = 5 was correct

5 0
3 years ago
What is 30 in the ratio 3:2
TiliK225 [7]

Total units in ration = 3+2 =5

So, 1 unit of the 30 here will be, 30/5 = 6

30 in the ration 3:2 will be 18:12

Did you understand???


4 0
3 years ago
HELP ME NOW!!!!!!!!!! (ALGEBRA)
melisa1 [442]

\\ \tt\hookrightarrow( g\circ h)(x)=g(h(x))

\\ \tt\hookrightarrow \dfrac{8(3x+10)-1}{3x+10+4}

\\ \tt\hookrightarrow \dfrac{8(3x)+8(10)-1}{3x+14}

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\\ \tt\hookrightarrow \dfrac{24x+79}{3x+14}

Done

3 0
2 years ago
Read 2 more answers
There are 16 sixth graders and 20 seventh graders in the Robotics Club. For the first project, the club sponsor wants to organiz
polet [3.4K]
Because you cannot add the two numbers you must find a common denominator for 16 and 20. This answer is 4. The greatest number of group members possible is 4.
7 0
3 years ago
“Write an equation and solve for the unknown” I know it’s a lot but can someone help me with this
Svetradugi [14.3K]

Answer:

g) x = 30

h) x = 30

i) m = 55

j) x = 24

k) k = 45

Step-by-step explanation:

G)

all angles of a triangle add up to 180.

the square in the bottom right of the triangle is 90 btw

2x + x + 90 = 180

3x + 90 = 180

3x + 90 - 90 = 180 - 90

3x = 180 - 90

3x = 90

3x/3 = 90/3

x = 30

H)

this is an Isosceles triangle.

that means the bottom two angles are equal.

75 + 75 + x = 180

x + 150 = 180

x + 150 - 150 = 180 - 150

x = 180 - 150

x = 30

I)

2m is supplementary to the bottom right angle of the triangle.

that means they add together to make 180.

80 + 30 + (180 - 2m) = 180

110 - 2m = 180 - 180

110 - 2m = 0

110 = 2m

110/2 = m

55 = m

J)

to save time I'm not going to write out the steps, its the same as the i.

2x + 3x + (180 - 120 ) = 180

5x + 60 = 180

5x = 180 - 60

5x = 120

x = 120/5

x = 24

K)

imagine this as a triangle and a square.

sorry I'm not sure how to explain this -.-

but the equation would be

k + k + 90 = 180

2k + 90 = 180

2k = 180 - 90

2k = 90

k = 45

L)

Im not sure how to solve this, I'm sorry :( hope you figure it out!

5 0
3 years ago
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