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masya89 [10]
3 years ago
11

Factor quadratic trinomials 27x^2-90x+27

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0
27x^2-81x-9x+27      In this case, just in your mind multiply 27 (coefficient of x^2) by the constant value 27(the end value of the quadratic trinomial). Then find factors that give you the value -90 when you add and 729 (27*27) when you multiply.

Factorise the values
 27x( x-3)-9(x-3)

Which will give you

(27x-9)(x-3)
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If the base number is 2/3 and the power is 5.
solniwko [45]

Answer:

32/243

Step-by-step explanation:

do 2 to the 5th and put it above 3 to the 5th

3 0
2 years ago
Read 2 more answers
Which shows a perfect square trinomial?
anastassius [24]
The answer is <span>c. 16x2 + 24xy + 9y2.

Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.

So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²

Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x

b² = 9y²
b² = (3y)²
b = 3y

a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT

d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x

b² = 10y²
b² = (y√10)²
b = y√10

a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT

So, c) is correct answer
8 0
3 years ago
Read 2 more answers
Help me please with this math question asap
steposvetlana [31]

Answer:

5

Step-by-step explanation:

A function

a \times  {b}^{x}

where a is the initial value and b is the multiplicative rate of change.

In the function,

f(x) = 2 \times  {5}^{x}

5 is the value of b so

5 is the multipicative rate of change

8 0
2 years ago
A is a quadrilateral with two sets of parallel sides and 4 right<br> angles
Bas_tet [7]

Answer:

If you are asking for the type of quadrilateral, then it could be a rectangle or a square.

8 0
3 years ago
Base of a triangle is 15 height is 7 what is area of triangle
eimsori [14]

Answer:

b·h=105

Step-by-step explanation:

u multiply the base times the height

8 0
3 years ago
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