Answer: <span>(x, y) → (x + 8, y – 3)
Justification:
</span>1) From the figure you can tell that the original trapezoid ABCD was translated 8 units to the right and 3 units down to yield the trapezoid A'B'C'D'.
2) Translating 8 units to the right means: x → x + 8
3) Translating 3 units down means y → y - 3
4) Therefore, the pair (x,y) is transformed into the pair (x + 8, y - 3); that is the rule (x,y) → (x + 8, y - 3)
Answer:
The diameter is 6 yards.
Step-by-step explanation:
2pir=18.84
pir=9.42
r=3(nearest whole number)
d=2r
d=2*3
d=6
Therefore, the diameter is 6 yards.
Answer:
yes
Step-by-step explanation:
25x² - 40xy + 16y² can be factored as
(5x - 4y)² ← a perfect square
Answer:
Teachers are idiots that's why :)
Answer:
600 L of 30% proof and 400 L of 80% proof is needed
Step-by-step explanation:
Let the amount of 30% smell proof be x while that of 80% smell proof is y
Then;
x + y = 1000 •••••(i)
Also;
30% of x + 80% of y = 50% of 1000
0.3x + 0.8y = 500 •••••(ii)
From i, x = 1000 - y
Put this into ii
0.3(1000-y) + 0.8y = 500
300 - 0.3y + 0.8y = 500
0.5y = 500-300
0.5y = 200
y = 200/0.5
y = 400 L
But x = 1000 - y
x = 1000 - 400 = 600 L
