Answer:
A'' = (1, -2)
Step-by-step explanation:
First we apply the translation:
(4-5, 3-1) = (-1, 2)
Next we apply the rotation. The rule for a 180 degree rotation is that every point (x, y) is mapped to (-x, -y):
(-1, 2) → (1, -2)
9 Ounces shows the total amout because you need to subtract 21-17
k/2+1/2=3
Move +1/2 to the other side. Sign changes from +1/2 to -1/2
k/2+1/2-1/2=3-1/2
k/2=3-1/2
Find the common denominator for 3 and -1/2.
Common denominator is 2
k/2=3(2)-1/2
k/2= 6/2-1/2
k/2=5/2
Multiply k/2 with 2. Multiply 2 with 5/2
k/2 (2/1)=2(5/2)
Cross out 2 and 2. Divide by 2. Cross out 2 and 2 for 5/2(2). Divide by 2
k=5
Answer:
20
Step-by-step explanation:
In 12 years, the sum of their ages will be 24 more than it is now. The sum of their ages now is 61-24 = 37.
If Jennifer is 3 years older than Peter, we have ...
j + (j -3) = 37
2j = 40 . . . . . . add 3
j = 20 . . . . . . . divide by 2
Jennifer is now 20 years old.
_____
Peter is now 17 years old. In 12 years, they will be 29 and 32, so their ages will sum to 61.
Answer:
Step-by-step explanation:
As we can see it is a right angled triangle so
hypotenuse (h) = 14 . 7 km
perpendicular (p) = 11.9 km
base (b) = x
Now by using Pythagoras theorem
Hope it was helpful.:)
