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loris [4]
3 years ago
8

Please help me with this simplify sqrt24w^14

Mathematics
1 answer:
Serjik [45]3 years ago
6 0

Answer:

2×sqrt(6)×w⁷

Step-by-step explanation:

what I can read here, you need to simplify

sqrt(24×w¹⁴)

= sqrt(24)×sqrt(w¹⁴) = sqrt(4×6)×sqrt(w¹⁴) =

= 2×sqrt(6)×sqrt(w¹⁴)

and taking the square root of something with exponent simply means dividing that exponent by 2

so,

2×sqrt(6)×w⁷

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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
Work out <br> m<br> and <br> c<br> for the line:<br> y<br> =<br> 3<br> −<br> x
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Answer:

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the sum of -7(-5+x)
vesna_86 [32]

Answer:

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Step-by-step explanation:

Multiply parenthesis by -7

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Answer:

211+b=x

Step-by-step explanation:

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I think that it's 3.8 because the triangles are congruent but I might be wrong.

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