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3 years ago

X^4-64=0The examples we did in class had solutions like "x=+-2" and "x=+-i(square root)3.

Mathematics

1 answer:

hammer [34]3 years ago

3 0

Answer:

Step-by-step explanation:

This isn't the same thing although you will get some factors that have i in them

(x^4 - 64) factors using the difference of squares.

(x^2 - 8)(x^2 + 8) Both of these factor using the difference of squares.

(x^2 - 8): factors into (x + sqrt(8) )(x - sqrt(8) )

(x^2 - 8): factors further (x + 2*sqrt2)(x - 2sqrt(2)

(x ^2 + 8) : (x + sqrt(8)i ) (x - sqrt(8)i )

(x^2 + 8) : (x + 2sqrt(2)i) (x - 2sqrt(2)i)

Final answer

(x + 2*sqrt2)(x - 2sqrt(2)(x + 2*sqrt2)(x - 2sqrt(2)

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JUST THE FIRST ONE EASY PLS ASAP

Sladkaya [172]

Answer:

<h2>For the first triangle, <u>x equals 22cm.</u></h2>

Here's how:-

x is the altitude or height of the triangle. To find it, we can use the Pythagoras theorem:-

$altitude^{2} + base^{2} = hypotenuse^{2}$

The base is 120cm and the hypotenuse is 122cm

Putting this in the equation, we get:-

$altitude^{2} + 120^{2} = 122^{2}$

$altitude^{2} = 122^{2}- 120^{2}$

$altitude^{2} = 14884 - 14400$

$altitude^{2}$ = 484

altitude = $\sqrt{484}$

<h3>altitude = 22cm</h3><h2><u>So, x = 22cm</u></h2>

7 0

2 years ago

. A triangle has vertices on a coordinate grid at points J(-1, 5), K(4, 5), and L(4, -2). What is the length, in units, of ?

Neko [114]

Answer:

20.6

Step-by-step explanation:

Given data

J(-1, 5)

K(4, 5), and

L(4, -2)

Required

The perimeter of the traingle

Let us find the distance between the vertices

J(-1, 5) amd

K(4, 5)

The expression for the distance between two coordinates is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((4+1)²+(5-5)²)

d=√5²

d= √25

d= 5

Let us find the distance between the vertices

K(4, 5), and

L(4, -2)

The expression for the distance between two coordinates is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((4-4)²+(-2-5)²)

d=√-7²

d= √49

d= 7

Let us find the distance between the vertices

L(4, -2) and

J(-1, 5)

The expression for the distance between two coordinates is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-1-4)²+(5+2)²)

d=√-5²+7²

d= √25+49

d= √74

d=8.6

Hence the total length of the triangle is

=5+7+8.6

=20.6

4 0

2 years ago

Else purchased a prepaid phone card for $15. Long distance calls cost 6 cents a minute using this card. Elsa used her card only

Ede4ka [16]

Answer:

25 minutes

Step-by-step explanation:

First you subtract the original amount on the card from the remaining amount left.

So you can get the amount of money spent on that call.

$15 - $13.50 = $1.50

Then you divide that number by how much it cost per minute.

$1.50 ÷ 6 = 0.25

Then you get your answer!

She was on the phone for 25 minutes

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2 years ago

Lines p and q are crossed by transversal s. Classify 1 and 5

allsm [11]

Answer:

corresponding angles

Step-by-step explanation:

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2 years ago

Write the fraction in simplest form. (3/6) x (7/10)

mrs_skeptik [129]

Answer:
7/20
Explanation:
In order to do this, you must first simplify all the equations to the simplest forms. Do this by simplifying 3/6 to 1/2. We know this because 3 is half of 6, therefore it would reduce down to 1/2. 7/10 is already simplified; we know this because 7 is a prime number and can’t do down any further
Now, multiply the two fractions buy multiplying the numerators and denominations together. In other words, 1 x 7 is 7 so your numerator is 7, and 2 x 10 is 20 so your denominator is 20.

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3 years ago

X^4-64=0The examples we did in class had solutions like "x=+-2" and "x=+-i(square root)3.​

X^4-64=0The examples we did in class had solutions like "x=+-2" and "x=+-i(square root)3.