PLSS HELP IF YOU TURLY KNOW THISS

Mathematics

2 answers:

victus00 [196]3 years ago

7 0

Answer:

x=3

Step-by-step explanation:

GREYUIT [131]3 years ago

4 0

Answer:

Divide both sides by 15

Step-by-step explanation:

mark me as brainliest ❤️

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Which scale factors produce an expansion under a dilation of the original image?

alina1380 [7]

Answer: The correct options are (A) 8 and (D) 7.

Step-by-step explanation: We are given to select the correct scale factors that produces an expansion under a dilation of the original image.

The SCALE FACTOR of a dilation is defined as follows:

$\textup{Scale factor}=\dfrac{\textup{length of a side of the dilated image}}{\textup{length of the corresponding side of the original image}}.$

The dilation will be an expansion is the scale factor is greater than 1 (> 1),

and it will be a reduction if the scale factor is less than 1 (< 1).

Option (A) is

Scale factor = 8.

Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.

Option (B) is

Scale factor = 0.7.

Since 0.7 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.

Option (C) is

Scale factor = 0.8.

Since 0.8 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.

Option (D) is

Scale factor = 7.

Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.

Thus, the correct options are (A) 8 and (D) 7.

7 0

3 years ago

Read 2 more answers

Determine whether the relation is a function.

Valentin [98]

Answer:

Im not really sure but take c & d out cuz they are wrong so it would just b and a but Id say it is A:)

3 0

3 years ago

Simplify this expression: i ^257

Katarina [22]

Okay!
What is i?
i = √(-1)

What is i^2?
i^2 = √(-1) * √(-1)

Note: Whenever you multiply two square roots with the same numbers you get this:

√(a^2)

Or in this case:

√(-1 * -1) = -√(1) = -1

So,
i^2 = -1

What does i^3 equal?
i^3 = √(-1) * √(-1) * √(-1) = 1 * √(-1) = √(-1) which is... -i

What does i^4 equal?
i^4 = √(-1) * √(-1) * √(-1) * √(-1) = √(-1 * -1 * -1 * -1) = 1

After that the cycle does it thing and cycles back.
So, with this information we can figure out what i^157 equals.

Knowing long division here helps a lot!
Take 157 and divide it by 4 using long division. If you don't know it, I'll show you how to do it to the best of my abilities. (Refer to the picture. If you have any questions about it then ask. Even if the question is... what does this say?)

After using long division we see that we get:
39 with a remainder of 1.

What that means is:
(i^4)^39 is what we have. The remainder of 1 means that we have 1 i left. So our answer is i.

The reason we divided by 4 and not some other term is because i^4 = 1, so it is easy to work with. In this case (i^4)^39 still just equals 1. Which leaves our remainder as our answer.

So once again the final answer is:
i

As for i^257. I'll show you the answer, but I won't give the work for this one. I'd recommend you try it out for yourself.

i^257 = (i^4)^64 * i = i.

I hope that I helped, and if you have any further questions then ask away!