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4 years ago

Which expression is equivalent to ^3√258x^10y^7 I NEED THIS NOW PLEASE

1 answer:

3 0

For this case, the first thing you should do is take into account properties of exponents.
We have then that we can rewrite the expression as follows:
^ 3√258 * (x ^ 10) * (y ^ 7)
^ 3√258 * ((x ^ 9) * (x)) * ((y ^ 6) * (y))
(x ^ 3) * (y ^ 2) (^ 3√258 * (x) * (y))
Answer:
The equivalent expression is:
(x ^ 3) * (y ^ 2) (^ 3√258 * (x) * (y))

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3 years ago

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Which expressions are equivalent to the given expression?

gizmo_the_mogwai [7]

Answer: Choice C. $\frac{1}{x^{2}y^{5} }$ and Choice E. $x^{-2} y^{-5}$

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3 years ago

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What is the answer for -104 = 8x

meriva

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3 years ago

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A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

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4 years ago