Answer:
1. When we reflect the shape I along X axis it will take the shape I in first quadrant, and then if we rotate the shape I by 90° clockwise, it will take the shape again in second quadrant . So we are not getting shape II. This Option is Incorrect.
2. Second Option is correct , because by reflecting the shape I across X axis and then by 90° counterclockwise rotation will take the Shape I in second quadrant ,where we are getting shape II.
3. a reflection of shape I across the y-axis followed by a 90° counterclockwise rotation about the origin takes the shape I in fourth Quadrant. →→ Incorrect option.
4. This option is correct, because after reflecting the shape through Y axis ,and then rotating the shape through an angle of 90° in clockwise direction takes it in second quadrant.
5. A reflection of shape I across the x-axis followed by a 180° rotation about the origin takes the shape I in third quadrant.→→Incorrect option
Answer:
s = 6
Step-by-step explanation:
8(s+3) = 72
Expand the brackets out:
(8 x s) + (8 x 3) = 72
8s + 24 = 72
Now you get rid of 24 on the left, by taking away 24. But you also have to do the same on the right side so that both sides are equal:
8s + 24 = 72
left(-24) = right (-24)
So that leaves you with:
8s = 48
Now divide both sides by 8 to make them equal and to get s on its own:
8s = 72
left(/8) = right (/8)
Therfore:
s = 6
Answer:
Option C is the correct answer.
C. 5•(-20)
Step-by-step explanation:
We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.
Change in payment = t * (-20)
The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.
So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,
Change in payment = 5 * (-20)
Change in payment = - $100
In order to find the answer you multiply 1360 by .15 and you get the answer of 204. So 204 students are absent.
