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marysya [2.9K]
3 years ago
7

. Write the following exponential expressions as equivalent radical expressions. a. 2^(1 /2)

Mathematics
1 answer:
Andrei [34K]3 years ago
7 0

Answer:

So 2^{\frac{1}{2}} will be equivalent to \sqrt{2} in radical form

Step-by-step explanation:

We have given expression 2^{\frac{1}{2}}

We have to write this in radical form

We know that if any fraction is in exponential form then if we write this in radical form then in radical form the exponent come inverse of its number

So 2^{\frac{1}{2}} can be written in radical form as \sqrt{2}

So 2^{\frac{1}{2}} will be equivalent to \sqrt{2} in radical form

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Select the correct steps for factoring the polynomial 5x^3-40
erastovalidia [21]

Answer:

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Stating with 5x³ - 40, the want to simplify the x part by extracting the common factor, so

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Now to factor x³-8, we can rewrite it in the format x³-2³, right?

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Read 2 more answers
suppose you have ab on a coordinate plane located at a(-3,-4) and b(5,-4). under a dilation centered at (9,0), ab becomes a'b' w
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The distace between the center of dilation and point a is diven by:

d=\sqrt{(9-(-3))^2+(0-(-4))^2} \\  \\ =\sqrt{(9+3)^2+(0+4)^2}=\sqrt{12^2+4^2} \\  \\ =\sqrt{144+16}=\sqrt{160}=\sqrt{16\times10}=4\sqrt{10}

The distance between the center of dilation and point a' is given by:

d=\sqrt{(9-6)^2+(0-(-1))^2} \\ \\ =\sqrt{3^2+(0+1)^2}=\sqrt{3^2+1^2} \\ \\ =\sqrt{9+1}=\sqrt{10}

It can be seen that the distance from the center of dilation to the image is 1/4 times the distance from the centre of dilation to the preimage.

Therefore, the scale factor is 1/4.
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4 years ago
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