General Idea:
When a point or figure on a coordinate plane is moved by sliding it to the right or left or up or down, the movement is called a translation.
Say a point P(x, y) moves up or down ' k ' units, then we can represent that transformation by adding or subtracting respectively 'k' unit to the y-coordinate of the point P.
In the same way if P(x, y) moves right or left ' h ' units, then we can represent that transformation by adding or subtracting respectively 'h' units to the x-coordinate.
P(x, y) becomes 
. We need to use ' + ' sign for 'up' or 'right' translation and use ' - ' sign for ' down' or 'left' translation.
Applying the concept:
The point A of Pre-image is (0, 0). And the point A' of image after translation is (5, 2). We can notice that all the points from the pre-image moves 'UP' 2 units and 'RIGHT' 5 units.
Conclusion:
The transformation that maps ABCD onto its image is translation given by (x + 5, y + 2),
In other words, we can say ABCD is translated 5 units RIGHT and 2 units UP to get to A'B'C'D'.
Answer:
Mortgage option (3) would be best suited for them.
Step-by-step explanation:
Mortgage option (1) and (2) are more or less the same since, since even if Damarco and Tanya down payments $34,000 (20% of the purchase price), they need to pay the interest for 30 years for both of the cases and even if he pays about $750 monthly (as for option (1)) or about $ 9000 annually (as for option (2)) both may actually be more or less the same amount since, the annual rate of interest in (2) may increase from the initial rate of 3.5% (but it is very unlikely to increase to over 5%) and option (1) has an annual fixed rate of interest of 4.25%.
Now, in the option (3) the interest is to be paid for 8 years and the annual rate of interest is also relatively low (only 4%) and if they pay about $18,000 annually with a down-payment of $ 34,000 and repay the rest of the amount at the end of 8 years,(which would be less than $ 35,000) they can easily clear their mortgage. Hence, for option (3) they would need to pay lowest total amount and for lowest time to clear the mortgage among the three options. Hence, this would be best suited option for them.
Answer: 28.08%
Step-by-step explanation: To find the percent increase, we divide the amount of change by the original number.
The amount of change is the difference between the two numbers which in this case is 561,000 - 438,000 and the original number is 438,000.
561,000 - 438,000 is 123,000 so we are left with 123,000 divided by 438,000 which is 0<em>.</em>2808. Finally, since our problem is asking us for a percent, we write 0<em>.</em>2808 as a percent by moving the decimal point two places to the right to get 28.08%.
So when the population changes from 438,000 to 561,000, it has increased by 28.08%.
Answer:
<h2>The answer is 2</h2>
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(82, −96) and (87, −86)
We have
We have the final answer as
<h3>2 </h3>
Hope this helps you
Answer:
Step-by-step explanation:
We want to solve for the value of t in the equation
Since we are trying to make t the subject of the formula (or isolate t)
Divide both sides by 4
This gives us:
Next, we subtract 
from both sides
