Subs x = -5 into f(x) = 4
f(-5) = 4 (answer)
Answer:
60 kilometers per hour (kmph) over the limit
Step-by-step explanation:
The speed limit is 60 kmph
Let's find his original rate:
We know D = RT
Where
D is the distance, in km
R is the rate, in kmph
T is the time in hours
He went 10 km in 5 minutes, so we need the time in hours, first. That would be:
5/60 = 1/12 hour
So, putting into formula, we find rate:
D = RT
10 = R(1/12)
R = 10/(1/12)
R = 10 * 12
R = 120 kmph
He was going over by:
120 - 60 = 60 kmph
Two lines are perpendicular if and only if the product of their slopes is - 1.
So, you just need to find the slope of each line and find out the product of their slopes.
I will do one example for you.
L1: y = 3x + 5
L2: y = - 3x + 14
L3: y = -x/3 + 14
The slope of a line is the coefficient of the x.
So the slopes are:
L1: slope 3
L2: slope -3
L3: slope -1/3
So now multiply the slopes of each pair of lines:
L1 and L2: 3 * (-3) = - 9 => No, they are not perpendicular
L2 and L3: (-3) * (-1/3) = 1 => No, they are not perpendicular
L1 and L3: (3) * (-1/3) = -1 => Yes, they are penpendicular.
180 of 72% is 129.6. 180*72= 12960. Since 72% = .72, you need to put the decimal 2 places behind the decimal.
Answer:
short for mathematics, also "Master of arts in theology"
Step-by-step explanation:
