Use the method of completing the square to transform the quadratic equation into the equation form (x – p)^2 = q.12 - 8x^2 + x^4 = 0

A) (x2 - 4)2 = -4

B) (x2 - 4)2 = 4

C) (x2 - 2)2 = -4

D) (x2 - 2)2 = 4

Answers

Answer 1

Answer: x⁴ - 8x² = 0
x⁴ - 8x² + 16 = 0 + 16
x⁴ - 4x² - 4x² + 16 = 16
x²(x²) - x²(4) - 4(x²) + 4(4) = 16
x²(x² - 4) - 4(x² - 4) = 16
(x² - 4)(x² - 4) = 16
(x² - 4)² = 16

The answer is B.

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Use Gauss-Jordan elimination to solve the following system of linear equations x_1+x_2 3-x_3 + 3x_4 = 2 -2x_1 - x_2+5x_3-5x_4=-4 2x_1-4x_3 + 4x_4 = 4 -x_1-6x_2+8x_38x_4 = -2

Answers

Answer:

Apologies, but it seems like there is missing information in the equation you provided after "+ 3x_4". Could you please provide the complete equation or check and confirm the correctness of the input?

Diana ran a quarter mile straight down the street.becky ran a quarter mile on the track.who ran more?

Answers

neither they both ran a quarter mile

Suppose we toss a coin 4 times. how many different sequences of outcomes are possible if order matters? (for example, hhtt is one outcome and htht is counted as a different outcome)

Answers

Solution: Each coin toss has 2 possible outcomes "Head" and "Tail". So if we flip a coin four times, the number of possible outcomes are:

$2^(4) = 16$ outcomes.

Let H denotes the Head and T denotes the Tail, then the 16 possible outcomes are enumerated below:

HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT,

THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT

What is the simplified form of
5x + 15/x/x+3/x

Answers

Simplify

5x^3+3x+15/x^2 ( all divide by x^2 )

I hope that's help !

The length of an arc of a circle is equal to 1/5 ofthe circumference of the circle. If the length of
the arc is 2π, the radius of the circle is

Answers

The radius of the circle is 5 units.

What is a circle?

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The arc of a circle is defined as the part or segment of the circumference of a circle.

Let r be the radius of the circle.

The length of an arc of a circle = 2π

Circumference of the circle = 2πr

The length of an arc of a circle is equal to 1/5 of the circumference of the circle

⇒ $2\pi =(1)/(5) 2\pi r$

⇒ $r=(2\pi (5))/(2\pi )$

⇒ r = 5 units

Hence we can conclude that the radius of the circle is 5 units.

Learn more about circles here

brainly.com/question/2768531

#SPJ2

length of arc = 2π
circumference of circle = 5 . 2π = 10π since the arc is 1/5 of the circumference
C =2πr
r = C/2π = 10π/2π = 5

Given: ∠LKM ≅ ∠JKM∠LMK ≅ ∠JMK

Prove: ∆LKM ≅ ∆JKM

Which method can you use to prove these triangles congruent?

the ASA Postulate

the SAS Postulate

the HL Theorem

the AAS Theorem

Answers

Answer: the ASA Postulate

Step-by-step explanation:

In the given picture , we have two triangles ∆LKM and ∆JKM , in which we have

$\angle{LKM}\cong\angle{JKM}\n\n\angle{LMK}\cong\angle{JMK}$

$\overline{KM}\cong\overline{KM}$ [common]

By using ASA congruence postulate , we have

∆LKM and ∆JKM

ASA congruence postulate tells that if two angles and the included side of a triangle are congruent to two angles and the included side of other triangle then the triangles are congruent.

Answer:

ASA

Step-by-step explanation:

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Which of the following is the equation of a line parallel to the line y=3x+2, passing through the point (10,1)?A. 3x - y=29 B. 3x + y=29 C. -3x-y=29 D. 3x + y=29