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3 years ago

Yo solve....14√x+15 = 71

Mathematics

1 answer:

user100 [1]3 years ago

7 0

Answer:

plug in 16 for x

14√x+15 = 71

14√x+15-15 = 71-15 = 56

14√x/14 = 56/14 = 4

√x^2 = 4^2 = 16

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Identify the surface with the given vector equation. r(s, t) = s sin 4t, s2, s cos 4t

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Answer:

Circular paraboloid

Step-by-step explanation:

Given ,

$r(s,t)=ssin4t,s^2,scos4t$

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Component along x axis $r_i : ssin4t$

Component along y axis $r_j : s^2$

Component along z axis $r_k : scos4t$

We see that , from the parameterised equation , $r_i^2+r_k^2=s^2sin^24t+s^2cos^24t\\r_i^2+r_k^2=s^2\\r_i^2+r_k^2=r_j$

This can also be written as :

$x^2+z^2=y$

This is similar to an equation of a parabola in 1 Dimension.

By fixing the value of z=0,

We get $y=x^2$ which is equation of a parabola curving towards the positive infinity of y-axis and in the x-y plane.

By fixing the value of x=0,

We get $y=z^2$ which is equation of a parabola curving towards positive infinity of y-axis and in the y-z plane.

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3 years ago

Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?

MA_775_DIABLO [31]

Answer:

A (0,3)

Step-by-step explanation:

The given trapezoid has vertices:

(0,6), (7,12), (7,9) and (0,12).

We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.

Note that the mapping for such a dilation is:

$(x,y)\to( \frac{1}{2} x, \frac{1}{2} y)$

This implies that:

$(0,6)\to(0,3)$

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$(7,9)\to(3.5,4.5)$

$(0,12)\to(0,6)$

Therefore correct choice is (0,3)

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3 years ago