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2 years ago

(8x) ³ in simplest radical form

Mathematics

1 answer:

Bingel [31]2 years ago

3 0

Answer:

$512x^3$

Step-by-step explanation:

$(8x)^3 = 8^3x^3 = 512x^3$

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A) find a cartesian equation for the curve described by the given polar equation. r =3 sin g

Radda [10]

Recall that r^2 = x^2 + y^2, so that r = sqrt(x^2+y^2).

y
r = 3 sin g becomes sqrt(x^2+y^2) = 3*-----------------------
sqrt(x^2+y^2)

Squaring both sides,

9y^2
x^2+y^2 = -----------------
x^2 + y^2

If this is correct (and I'm not convinced that it is), then (x^2+y^2)^2 = 9y^2
shows the relationship between x and y. Can anyone improve on this result?

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3 years ago

What is an equation of the line that passes through the point ( 6 , − 2 ) (6,−2) and is perpendicular to the line 6 x + y = 2 6x

Diano4ka-milaya [45]

Answer:

An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

$y=\frac{1}{6}x-3$

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

Given the line

6x+y=2

Simplifying the equation to write into the slope-intercept form

y = -6x+2

So, the slope = -6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be: -1/-6 = 1/6

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 1/6 and the point (6, -2)

$y-\left(-2\right)=\frac{1}{6}\left(x-6\right)$

$y+2=\frac{1}{6}\left(x-6\right)$

subtract 2 from both sides

$y+2-2=\frac{1}{6}\left(x-6\right)-2$

$y=\frac{1}{6}x-3$

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

$y=\frac{1}{6}x-3$

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2 years ago

Which interval describes where the graph of the function is positive?

Ad libitum [116K]

Answer:

D is the correct answer.

Step-by-step explanation:

Find the portion of the graph that is above the x-axis.

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1 year ago

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What common angle do CDG AND FCE share?

Mashutka [201]

Triangle CGD and triangle CEF both share the same angle at point C.
This means angle GCE equals to angle ECG

Answer: GCE is congruent to ECG

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3 years ago

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What is the distance between -7.5 and -15.3 on a number line

timama [110]

Okay. To find the distance apart from each other, subtract 15.3 and 7.5. When you do that, you should get 7.8. -7.5 and -15.3 are 7.8 units away on a number line.

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3 years ago