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kobusy [5.1K]
9 months ago
9

Write the equation of the line in fully simplified slope-intercept form.

Mathematics
1 answer:
mart [117]9 months ago
6 0

Answer:

y= -3x-6

Step-by-step explanation:

I believe this is correct

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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
Find the missing term.<br> (x^12)^5*(x^-2)^9* =(x^40)^5
Studentka2010 [4]
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3 0
3 years ago
Let f(x)=-5+3 and g(x)=-2x^2+5x-1
Akimi4 [234]

Answer:

bhaar mein jao

Step-by-step explanation:

8 0
2 years ago
Find angle A in the following triangle. <br><br> A. 35.54 <br> B. 35.67<br> C. 36.24<br> D. 36.77
BartSMP [9]

Tan(Angle) = Opposite leg / Adjacent leg

Tan(A) = 5/7

A = Arctan(5/7)

A = 35.54 degrees.

3 0
3 years ago
Read 2 more answers
2(3x - 6) + 5x = -x-4(7-1x)<br> Need answers now
givi [52]
X=-2
I think that is
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