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4 years ago

10

Divide. (

iddle" class="latex-formula"> + 12x + 36) ÷ ( $x^{2} x^{2}$ + 11x + 30)

1 answer:

Maksim231197 [3]4 years ago

6 0

(x+6)^2
----------------
x^4+11x+30

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Compare the values you entered above.

AysviL [449]

The answer is greater than

5 0

4 years ago

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The function of g(x)=8^2-48+65 written in vertex form is g(x)= 8(x-3)^2-7 what is the vertex of g(x)

Iteru [2.4K]

The vertex is where g(x) = 0
i.e. where 8(x^3)^2-7 is equal to x

who wrote this question, there aRE OBVIOUS errors.

6 0

4 years ago

What are the solutions of the equation x^4 + 95x^2 - 500= 0? Use factoring to solve

Artist 52 [7]

1) given x^4 + 95x^2 - 500

2) split in two factors with common factor term x^2: (x^2 + )(x^2 - )

3) find two numbers that add up 95 and their product is - 500:

=> 100*(-5) = - 500 and 100 - 5 = 95

=> (x^2 + 100)(x^2 - 5)

4) factor x^2 - 5 = (x + √5) (x - √5)

5) write the prime factors: (x^2 + 100) (x + √5) (x -√5)

6) find the solutions:

x^2 + 100 = 0 => not possible

x + √5 = 0 => x = - √5

x - √5 = 0 => x = √5

Answer: x = √5 and x = - √5

4 0

3 years ago

As shown at the right, rectangle abcd has vertices c and d on the. V-axis and vertices a and b on the part of the parabola y — 9

Sergio039 [100]

a) The <em>perimeter</em> function of the rectangle is $p = 18\cdot x -2\cdot x^{3}$ .

b) The domain of the <em>perimeter </em>function is $x \in [-3, 3]$ .

<h3>How to analysis the perimeter formula of a rectangle inside a parabola</h3>

a) The perimeter of a rectangle ( $p$ ) is the sum of the lengths of its four sides:

$p = AB\cdot AC$ (1)

If we know that $AB = 2\cdot x$ and $AC = 9-x^{2}$ , then the perimeter of the rectangle is represented by the following formula:

$p = 2\cdot x \cdot (9-x^{2})$

$p = 18\cdot x -2\cdot x^{3}$

The <em>perimeter</em> function of the rectangle is $p = 18\cdot x -2\cdot x^{3}$ . $\blacksquare$

b) The domain of the function is the set of values of $x$ associated to the function. After a quick inspection, we find that the domain of the <em>perimeter </em>function is $x \in [-3, 3]$ . $\blacksquare$

<h3>Remark</h3>

The statement is incomplete and poorly formatted. The correct form is described below:

<em>As shown at the right, rectangle ABCD has vertices C and D on the x-axis and vertices A and B on the part of the parabola </em> $y = 9-x^{2}$ <em> that is above the x-axis. a) Express the perimeter </em> $p$ <em> of the rectangle as a function of the x-coordinate of A. b) What is the domain of the perimeter function?</em>

To learn more on rectangles, we kindly invite to check this verified question: brainly.com/question/10046743

4 0

2 years ago

What is the lateral area of the pyramid?

Aleks04 [339]

We have two triangles with base 9ft and height 12.3ft and two triangles with base 11ft and height 11.9ft.

The formula of an area of a triangle:

$A_\triangle=\dfrac{1}{2}bh$

Triangle #1:

b = 9ft and h = 12.3ft. Substitute:

$A_1=\dfrac{1}{2}(9)(12.3)=55.35ft^2$

Triangle #2:

b = 11ft and h = 11.9ft. Substitute:

$A_2=\dfrac{1}{2}(11)(11.9)=65.45ft^2$

The Lateral Area:

$L.A.=2A_1+2_A2\\\\L.A.=2(55.35)+2(65.45)=241.6\ ft^2$

<h3>Answer: B. 241.6 ft².</h3>

6 0

3 years ago

Read 2 more answers