Answer:(x+6)(x^2-9)
Step-by-step explanation:
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).
Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.
Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
Answer:
Step-by-step explanation:
We have been given that on a compass, due east is a 1/4 turn clockwise from due north.
Since we know that a compass is in form of a circle and the measure of degrees in a circle is 360 degrees.
To find the number of degrees in a one-fourth turn, we will divide 360 by 4.
Therefore, there are 90 degrees in a 1/4 turn of compass.
To add 11% to an amount means to multiply the amount by 1.11.
You can start with $115 and multiply it by 1.11 eleven times.
A quicker way is to find 1.11^11 and then multiply by $115.
$115 * 1.11^11 = $115 * = 3.151757 = $362.45
The hours it would take to type 3.2 x 10^5 words is 1.33 x 10^2 hours.
<h3>How many hours would it take to
type 3.2 x 10^5 words?</h3>
Standard form is used in expressing large numbers in smaller numbers. It is used to transform large numbers into smaller number.
In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
For example: 1 x 10² is equivalent to 100
The first step is to determine how many words he can type in 1 hour : 40 x 60 = 2400 words = 2.4 x 10³
The second step is to divide 3.2 x 10^5 words by 2.4 x 10³
3.2 x 10^5 ÷ 2.4 x 10³ = 1.33 x 10^(5 - 3)
1.33 x 10^2 hours
To learn more about standard form, please check: brainly.com/question/25334755
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