Answer:
Option (2) 1.5
Step-by-step explanation:
Rule for the dilation of an image by a scale factor is,
Scale factor = 
= 
= 
= 
= 1.5
Therefore, scale factor was used to create a circle A' = 1.5
Option (2) will be the correct option.
Answer:
Point B is located at point (2, 4)
Step-by-step explanation:
Since point M is at the center, you find the distance from point A and add that to the other side.
| -1 - 0.5 | = | -1.5 | = 1.5
| -9 - -2.5 | = | -6.5 | = 6.5
Now we can add that to point M to find point B
0.5 + 1.5 = 2
-2.5 + 6.5 = 4
Point B should be at (2, 4)
2:15+2:31=4:46
4:46+1:16=5:62=6:02
6:02+2:56 =8:56pm or 20:56
Answer:
4th option
Step-by-step explanation:
x² - 2x - 3 = 0 ( add 3 to both sides )
x² - 2x = 3
using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 3 + 1
(x - 1)² = 4
The <em><u>correct answer</u></em> is:
$43.20
Explanation:
The formula we have is
c = p(1+r), where c is the total cost, p is the price of the item before tax, and r is the tax rate written as a decimal. This formula comes from the fact that adding a percent tax to the cost of an item takes 100% of the price and adds r% to it; this is why we multiply the price by (1+r).
Since our tax rate is 8%, r = 8% = 8/100 = 0.08. The price of the item is $40. Using this information, we have:
c = 40(1.08) = $43.20
