Answer:
The answer for the first problem is B. The answer to the second problem is A.
Step-by-step explanation:
Explanation for first problem: Factor the equation and get (w+5)(w-4). Then multiply the numerator of the equation (w-3) by (w-4) and get w²-7w+12.
Explanation for second problem: Plug in the values of choice A., -2 and 4, and they cause the denominators to equal 0 which is against the rules or considered illegal.
$4.30X40%=1.72
4.30-1.72=2.58
2.58X6%=.15
2.58+.15=2.73
Final price: $2.73
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:
If there will be 24 lines on all pages, there will be 175 pages in the book
Step-by-step explanation:
First we have to find out how much lines does the book have in total, so we multiply the number of pages by the number of lines on the page. So we get.....
120 x 35 = 4200
Now in order to find out how much pages will the book have when a page will have 14 lines we divide the number of lines by 24 and we get......
4200 / 24 = 175
