We need more info... but the domain is probably all real numbers
Answer:
Brian's rate is 15 km/hr
Adrian's rate is 16 km/hr
Step-by-step explanation:
Let r = Brian's rate
r + 1 = Adrian's rate
4/r = Brian's time
4/(r + 1) = Adrian's time
The difference in times is 1 min = 1/60 hr
LCD = 60r(r + 1)
4(60)(r + 1) - 4(60)r = r(r + 1)
240r + 240 - 240r =
+ r
+ r - 240 = 0
(r - 15)(r + 16) = 0
r = 15 or r = -16
Since the rate cannot be negative, Brian's rate is 15 km/hr and Adrian's rate is 16 km/hr
20 square yards. 15 * 12 is 180 and then you divide it by 9 which gives you 20 square yards. 9 square feet are equivalent to a square yard.
Answer:
P' = (4, 4)
Step-by-step explanation:
T(x, y) is a function of x and y. Put the x- and y-values of point P into the translation formula and do the arithmetic.
P' = T(8, -3) = (8 -4, -3 +7) = (4, 4)
_____
<em>Comment on notation</em>
The notation can be a little confusing, as the same form is used to mean different things. Here, P(8, -3) means <em>point P</em> has coordinates x=8, y=-3. The same form is used to define the translation function:
T(x, y) = (x -4, y+7)
In this case, T(x, y) is not point T, but is <em>a function named T</em> (for "translation function") that takes arguments x and y and gives a coordinate pair as a result.
Therefore, the arithmetic means are 1, 6, 11
Step-by-step explanation:
-4,_,_,_,16
Solution:
16= -4+(5-1)d
16= -4+4d
16+4= 4d
20=4d
4 4
d=5
-4 1 6 11
+5 +5 +5 +5
1 6 11 16
-4 ,1 ,6 ,11 ,16