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3 years ago

Giving brainliest !! easy

Mathematics

1 answer:

nirvana33 [79]3 years ago

3 0

Answer:

the answer is 3 inches that is what I kniw

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Find the solutions to x⁴-64=0 and the x-intercepts of the graph of y=x⁴-64.

Setler [38]

Answer:

1. $x_1=2\sqrt{2}\\x_2=-2\sqrt{2}\\x_3=i2\sqrt{2}\\x_4=-i2\sqrt{2}$

2. $A=(2\sqrt{2},0)$ and $B=(-2\sqrt{2},0)$

Step-by-step explanation:

We have the expression $x^4-64=0$ to find the solutions we have to clear $x$ . Then,

$x^4-64=0$ Add 64 in both sides of the equation.

$x^4-64+64=64\\x^4=64$

Now we have to re-write the equation:

$u=x^2$ ⇒ $u^2=(x^2)^2\\u^2=x^4$

Then,

$u^2=64$

Apply square root on both members

$\sqrt{u^2}=\sqrt{64}\\u=8 , u=-8$

Now substitute back $u=x^2$

1. $x^2=8$

2. $x^2=-8$

Solving for x:

1. $x=+\sqrt{8}=\sqrt{2^3}=\sqrt{2^2}.\sqrt{2}\\x=2\sqrt{2}\\or\\x=-\sqrt{8}\\x=-2\sqrt{2}$

2. $x=+\sqrt{-8}=\sqrt{(-1).8} =\sqrt{-1}\sqrt{8} \\x=i\sqrt{8}\\x=i.2\sqrt{2} \\or\\x=-\sqrt{-8}\\x=-i.2\sqrt{2}$

Then the solutions for $x^4-64=0$ are:

$x_1=2\sqrt{2}\\x_2=-2\sqrt{2}\\x_3=i2\sqrt{2}\\x_4=-i2\sqrt{2}$

To find the x intercepts of the graph $y=x^4-64$ we have to replace with y=0.

This means: $x^4-64=0$

We already found the solutions for the expression, but we have to consider only the real solutions.

$x_1=2\sqrt{2}\\x_2=-2\sqrt{2}$

Because in a graph we can't have imaginary solutions.

Then the x intercepts of the graph are:

$A=(2\sqrt{2},0)$ and $B=(-2\sqrt{2},0)$

The graph of the function is:

3 0

3 years ago

calculate the distance between each given pair of points round your answer to the nearest tenth if necessary (3,1) and (6,5)

AnnZ [28]

The distance between (3, 1) and (6, 5) is 5.

D=√(x₂-x₁)²+(y₂-y₁)²
D=√(6-3)²+(5-1)²
D=√3²+4²
D=√9+16
D=√25
D=5

3 0

3 years ago

Unit form for 968.257

dimaraw [331]

Answer:

The unit form for 968.257 is 969

8 0

2 years ago

Hat is the value of x rounded to the nearest hundredth?

abruzzese [7]

Answer:

3 might be wrong

Step-by-step explanation:

(✓7) - 4x4=9

✓9

8 0

3 years ago

Which is the equation of a line that is perpendicular to 6x – 4y = 9?

natulia [17]

6x – 4y = 9

4y = 6x - 9

y = 6/4 x - 9/4

y = 3/2 x - 9/4 this line has slope = 3/2

perpendicular line, slope is opposite and reciprocal so slope of this line = -2/3

answer:

A. y= - 2/3 x - 4 (only this line has slope = -2/3)

8 0

3 years ago

Giving brainliest !! *easy*

Giving brainliest !! easy