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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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Can someone help me with this math hw ​
AveGali [126]

Answer:

Step-by-step explanation:

F(x) = x² - 2x + 1

      = (x - 1)²

By comparing this equation with the vertex form of the quadratic equation,

y = (x - h)² + k

Here, (h, k) is the vertex

Vertex of the parabola → (1, 0)

x-intercepts → (x - 1)² = 0

                       x = 1

y-intercepts → y = (0 - 1)²

                       y = 1

Now we can draw the graph of the given function,

From this graph,

As x → 0,

\lim_{x \to 0^{-}} (x-1)^2=1

\lim_{x \to 0^{+}} (x-1)^2=1

f(0) = (0 - 1)²

     = 1

Since, \lim_{x \to 0^{-}} (x-1)^2=\lim_{x \to 0^{+}} (x-1)^2=1

Therefore, given function is continuous at x = 0.

8 0
2 years ago
The top of a round table with a diameter of 5.5 feet is painted white. how many square feet are painted
Firlakuza [10]
The formula for area of a circle is:
A=(pi)r^2
If diameter is 5.5, divide by 2 to find radius is 2.75. 2.75^2 is 7.5625 then multiplied by 3.14 (pi) is 23.746.
Depending on how you round, about 23.7 square feet were painted.
5 0
2 years ago
<img src="https://tex.z-dn.net/?f=50.705%20%5Cdiv%202.646" id="TexFormula1" title="50.705 \div 2.646" alt="50.705 \div 2.646" al
nikitadnepr [17]

Answer:

19.1628873772

Step-by-step explanation:

50.70500 ÷ 2.64600 = 19.1628873772

8 0
3 years ago
Read 2 more answers
Im putting all the questions in one to make it easier
Rufina [12.5K]

I'll focus on problem 19 and problem 22

============================================================

Problem 19

Answers:

  • x = 87
  • x+15 = 102

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

Explanation:

The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.

Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.

x+15 = 102

x = 102-15

x = 87

Which leads to

x+15 = 87+15 = 102

============================================================

Problem 22

Answer: y = 27

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

Explanation:

We have a pair of alternate exterior angles. They are congruent due to the parallel lines.

Let's solve for y.

7y-55 = 3y+53

7y - 3y = 53+55

4y = 108

y = 108/4

y = 27

5 0
2 years ago
How many teaspoons are in 15 milliliters? 1 tsp = 5 mL
zhannawk [14.2K]

Answer:

Milliliters to teaspoons (mL to tsp) converter, formulas and conversion table. ... 1 mL = 0.202884 tsp; 5 mL = 1.014 tsp; 10 mL = 2.028 tsp; 15 mL = 3.04

Step-by-step explanation:

hope it helps

8 0
2 years ago
Read 2 more answers
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