Answer:
Point B is (1, 2)
Step-by-step explanation:
Let us revise the rule of the translations
- If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)
- If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)
- If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)
- If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)
∵ Point A = (-2, 0)
∵ T (3, 2) → A = B
→ By using the 1st and 3rd rules above, A is translated 3 units right and 2
units up to get B
∴ T (x, y) → (x + 3, y + 2)
∵ A = (x, y)
∵ x = -2 and y = 0
∴ B = (-2 + 3, 0 + 2)
∴ B = (1, 2)
∴ Point B is (1, 2)
Answer:
Third option
Step-by-step explanation:
We can't factor this so we need to use the quadratic formula which states that when ax² + bx + c = 0, x = (-b ± √(b² - 4ac)) / 2a. However, we notice that b (which is 6) is even, so we can use the special quadratic formula which states that when ax² + bx + c = 0 and b is even, x = (-b' ± √(b'² - ac)) / a where b' = b / 2. In this case, a = 1, b' = 3 and c = 7 so:
x = (-3 ± √(3² - 1 * 7)) / 1 = -3 ± √2
8n is 8 x n. If n is 2, then 8n is 8 x 2 which is 16! Hope that helps!
Answer:
aₙ= 47 -3n
Step-by-step explanation:
44, 41, 38, 35, 32
This is AP with 1st term of 44 and common difference of -3
nth term of this AP:
- aₙ= a₁+(n-1)d= 44+(n-1)*(-3)= 44 - 3n+3= 47-3n
If he starts at 8:00 AM and you start counting up by 1 hour at a time...
8:00 - 9:00 = 1 hour
9:00 - 10:00 = 1 hour
10:00 - 11:00 = 1 hour
11:00 - 12:00 = 1 hour
So far that is 4 hours that have passed and we are up to 12:00. Now remember, when we reach 12:00 we switch from AM to PM (that's 12 noon).
We only have 49 minutes left so now we just add that in
12:49 PM is when he crossed the finish line.
