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2 years ago

Factor the polynomial in quadratic form X^4-36

Mathematics

1 answer:

Leona [35]2 years ago

5 0

Factored
(x^2 +6)(x^2 - 6)
(x^2 + 6)(x + sqrt (6))(x - sqrt (6))

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Someone who's good at math please help me!!!

timurjin [86]

#1.
Here what you do is cross multiply.
$\frac{8x}{13x}$
#2.
Same as #1, just cross multiply.
$\frac{9x}{12}$

You get the gist?

8 0

2 years ago

Calculate the area of the triangle with the following vertices (3, -7), (6, 4), (-2, -3)

Monica [59]

Answer:

$\boxed{\mathsf{A} \triangle = \red{\dfrac{67}{2}u.a}}$

Step-by-step explanation:

Let's follow up with the solution. Considering a triangle with the vertices $\mathsf{A(x_A, y_A)}$ , $\mathsf{B(x_B, y_B)}$ and $\mathsf{C(x_C, y_C)}$ , have a look at the representation in the cartesian plan.

From this representation we can say that the area (A) of a triangle through the knowledge of <u>analytical geometry</u> is given by the determinant of the vertices divided by two, mathematically,

$\mathsf{A} \triangle = \dfrac{\left| \begin{array}{ccc} \mathsf{x_A} & \mathsf{y_A }& 1 \\ \mathsf{x_B} & \mathsf{ y_B} & 1 \\ \mathsf{ x_C} & \mathsf{ y_C} & 1 \end{array} \right|}{2}$

So, applying this knowledge we're going to have,

$\mathsf{A} \triangle = \dfrac{\left| \begin{array}{ccc} 3 & -7 & 1 \\ 6 & 4 & 1 \\ -2 & -3 & 1 \end{array} \right|}{2}$

$\mathsf{A} \triangle = \dfrac{1}{2}\left[ \left.\begin{array}{ccc} 3 & -7 & 1 \\ 6 & 4 & 1 \\ -2& -3 & 1 \end{array} \right| \begin{array}{cc} 3 & -7 \\ 6 & 4 \\ -2 & -3 \end{array} \right]$

$\mathsf{A} \triangle = \dfrac{12 + 14 - 18 - (-8 - 9 - 42)}{2}$

$\red{\mathsf{A} \triangle = \dfrac{67}{2} = 33,5u.a}$

Hope you enjoy it, see ya!)

$\green{\mathsf{FROM}}:$ Mozambique, Maputo – Matola City – T-3

DavidJunior17

3 0

2 years ago

it is projected that the population of the United states in 2050 will be 419,854,000. write that number in expanded notation usi

Alexeev081 [22]

400,000,000 + 10,000,000 + 9,000,000 + 800,000 + 50,000 + 4,000

6 0

3 years ago

Find the radius and center of the circle given by the equation below. (x – 6)2 + (y + 4)2 = 7 r = 7 and center at (-6, 4) r = 7

Blababa [14]

Answer:

center at (6, -4) r = √7

Step-by-step explanation:

(x – 6)^2 + (y + 4)^2 = 7

This is in the form

(x – h)^2 + (y - k)^2 = r^2

Where (h,k) is the center of the circle and r is the radius of the circle

Rearranging the equation to match this form

(x – 6)^2 + (y -- 4)^2 = sqrt(7) ^2

The center is at (6, -4) and the radius is the sqrt(7)

3 0

2 years ago

What is an increasing or decreasing interval of a parabola? Is it like the vertex or turning point of the parabola? I don't reme

sweet-ann [11.9K]

Well first, an interval is a set of real numbers, usually x values. For example <span>0 ≤ x ≤ 1 is an interval. If the y values for the x values of the set increase as the x values increase, then the interval is increasing. If the y values for the x values of the set decrease as the x values increase, then the interval is decreasing. I hope that wasn't confusing, if you have questions, ask.</span>

8 0

2 years ago