3 years ago

How do you write 2x in radical form

Mathematics

1 answer:

mel-nik [20]3 years ago

6 0

$\sqrt{2x}=2x^{\frac{1}{2}}$

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Which equation represents a line through (-2, 1) that is perpendicular<br> to y = -5x + 2?

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Step-by-step explanation:

1=-5(-2)+2

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F=y-h/a solve for y.

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A straight line L is perpendicular to line 3x-2y+4=0. The area of triangle formed by the line L and coordinate axes is 27 sq.uni

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Suppose you start out with a cone of height 8 cm and base radius 6 cm, and you want to change the dimensions in such a way that

NARA [144]

Answer: r ≈ 5.95

Step-by-step explanation:

Let S be the surface area , then

S = $\pi$ $r^{2}$ + $\pi$ r $\sqrt{r^{2}+h^{2}}$

Differentiating S with respect to r , we have

dS = $\frac{dS}{dr}$ dr + $\frac{dS}{dh}$ dh

$\frac{dS}{dr}$ = (2 $\pi$ r + $\pi$ $\sqrt{h^{2}+r^{2}}$ + $\frac{\pi r^{2} }{\sqrt{h^{2}+r^{2}} }$ ) dr + $\frac{\pi rh }{h^{2}+r^{2} }$ dh

For the area to remain the same it means dS = 0

since r = 6cm , h = 8cm , dh = 0.28 then we have

0 = (12π + 10π + $\frac{18\pi }{5}$ )dr + $\frac{24\pi }{5}$ X 0.28.

Making dr the subject of formula , we have

(12π + 10π + $\frac{18\pi }{5}$ )dr = - ( $\frac{24\pi }{5}$ X 0.28)

( $\frac{128\pi }{5}$ ) dr = - $\frac{6.72\pi }{5}$

(640 $\pi$ )dr = - 33.6 $\pi$

dr = - 33.6 $\pi$ / 640 $\pi$

dr = 0.05

This means that the radius should decrease by 0.05 for the area to remain the same. That means the radius = 6 - 0.05

r ≈ 5.95

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3 years ago