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3 years ago

Does anyone know the answer???

Mathematics

1 answer:

MAXImum [283]3 years ago

5 0

Answer:

Step-by-step explanation:

Use the Order of Operations:

$(9 - 2)^{2} - [ {2}^{2} - {3}^{2}] + 2 = {7}^{2} - [4 - 9] + 2 = \\ \\ 49 - -5 + 2 = 49 + 5 + 2 = 56$

According to the Order of Operations, you evaluate everything on grouping symbols, then the exponents [indices, roots, etcetera], then Division & Multiplication from left to right, then finally, Subtraction & Addition from right to left [or left to right as long as you know what you are doing correctly].

I am joyous to assist you anytime.

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12a^3b^2 +18a²b^2 – 12ab^2 Factor completely

AleksAgata [21]

The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is $6 a b^{2}(a+2)(2 a-1)$

Solution:

Given, expression is $12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}$

We have to factorize the given expression completely.

Now, take the expression

$12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}$

Taking $b^2$ as common term,

$b^{2}\left(12 a^{3}+18 a^{2}-12 a\right)$

Taking "a" as common term,

$b^{2}\left(a\left(12 a^{2}+18 a-12\right)\right)$

Taking "6" as common term,

$b^{2}\left(a\left(6\left(2 a^{2}+3 a-2\right)\right)\right)$

Splitting "3a" as "4a - a" we get,

$b^{2}\left(a\left(6\left(2 a^{2}+4 a-a-2\right)\right)\right)$

$\begin{array}{l}{b^{2}(a(6(2 a(a+2)-1(a+2))))} \\\\ {b^{2}(a(6((a+2) \times(2 a-1))))} \\\\ {6 a b^{2}(a+2)(2 a-1)}\end{array}$

Hence, the factored form of given expression is $6 a b^{2}(a+2)(2 a-1)$

4 0

3 years ago

Select the correct answer from each drop-down menu.

umka2103 [35]

Answer:

your answer will be 3 and 270

Step-by-step explanation:

hope it helps

8 0

3 years ago

Which expression is equivalent to x^4 • x^−2? (A)x^−8 (B)x^2 (C)x^6 (D)-8 • x

Juli2301 [7.4K]

Answer:

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

Given

$x^{4}$ × $x^{-2}$ = $x^{(4-2)}$ = x² → B

7 0

3 years ago

Read 2 more answers

Part 1:

AURORKA [14]

The following are the answers to the questions presented:

Part 1:

Vertex: (−3/ 2, 11/2)

Axis of symmetry = x = -3/2

Domain = all real numbers

Range = y ≤ 11/2

Part 2:

A quadratic equation is symmetrical around its vertex. The equation for the axis of symmetry is x = -3/2 since the equation is in terms of x. Since no value of x is undefined, then the domain of the equation is clearly all real numbers. Since the value of “a” is negative, then that means the y coordinate of the vertex is the maximum value so the range will never get above 11/2. I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

8 0

3 years ago

Calcula la altura de un cono se 235.62cm³ de volumen si el radio de la base mide 5cm

Ber [7]

Answer:

Datos: r= 24cm. g= 74 cm. ...

- La altura h.

- La generatriz.

- el radio. Que entre ellos forman un triangulo rectángulo siendo la generatriz la hipotenusa y el radio la base, entonces: ...

g²=r²+h² despejando la altura h se tiene que:

h=√g²-r² h= √ (74cm)² - (24 cm)²

es. un paso para que. puedas resolver

6 0

3 years ago