The discriminant:
D = b² - 4 a c = 7² - 4· 3 · 2 = 49 - 24 = 25
D > 0 This function has 2 x-intercepts ( 2 zeroes ).
x 1 = (-7+5)/6 =-1/3
x 2 = (-7-5) / 6 = - 2
Y=mx+c since its at constant rate
at (30,2)
30=m2+c-----(1)
at(12,3)
12=m3+c-----(2)
by multiplying (2)by 2.5,
30=7.5m+2.5c-----(3)
by comparing (1) and (3)
2m+c=7.5m+2.5c
5.5m+1.5c=0
5.5m=-1.5c
m=-1.5/5.5c----(4)
sub 4 into 1,
-6/11c+c=30
c=66
m=-1.5/5.5*66=-18
Equation : y=-18x+66
u can try substituting back 2min and 3 mins to verify it works
Aproximadamente, serian 2 metros
Answer:
2.35 yards/second or 7.07 ft/second
Step-by-step explanation:
The distance to be covered is 55 yards.
The casting cools at the rate of 
and the temperature must not be allowed to cool more than 
.
We know that, 
By the time, the temperature reaches , it will take about,
, so it will take about 23.33 seconds.
Also, 55 yards = 
So the minimum speed that conveyor must move is,
Hence, the speed of conveyor is 7.07 feet per second.
Answer:
5 units
Step-by-step explanation:
Length AB,
Just apply the formula;
Length between two points =square root of [(difference in x coordinates)^2 + (difference in y coordinates)^2]
Length AB =square root of [(4 - 7)^2 + (-5 - - 9)^2]
Length AB =square root of [ (-3)^2 + (4)^2]
Length AB = square root of (25)
Length AB = 5 units
