3:5 -> 6:10, 9:15, 12:20
8:10-> 4:5,16:20, 24:30
6:8 -> 3:4, 12:16, 30:40
6:18 -> 3:9, 12:36, 30:90
4:8 -> 1:2, 8:16, 12:24
Answer:
420
Step-by-step explanation:
210 = 14×15
28 = 14×2
The LCM wil be the product of unique factors;
... LCM = 14×15×2 = 420
Answer:
T = 96
Step-by-step explanation:
From the question given above, we were told that the time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H. This can be written as:
T ∝ 1/H
T = K/H
Cross multiply
K = TH
Next, we shall determine the value of K. This can be obtained as follow:
H = 8
T = 120
K =?
K = TH
K = 120 × 8
K = 960
Finally, we shall determine the value of T when H = 10. This can be obtained as illustrated below:
H = 10
K = 960
T =.?
T = K/H
T = 960/10
T = 96
Answer:
9
Step-by-step explanation:
Answer:
Step-by-step explanation:
The directrix is a vertical line, so the parabola is horizontal. The focus lies to the left of the directrix, so the parabola opens to the left.
For a left-opening parabola:
x = a(y-k)²+h,
a < 0,
vertex (h,k)
focal length p = 1/|4a|
focus (h-p, k)
directrix: x=h+p
Apply your data
focus (1,-4)
directrix x=2
vertex (1.5,-4).
focal length p = 0.5
a = -1/|4p| = -½
x = -½(y-2)²+ ½
