Answer: It is equivalent to a reflection over the y-axis.
Step-by-step explanation:
We start with the function:
f(x) = m*x + b
where the slope is m.
If we only multiply the slope by -1, the function becomes:
f(x) = -m*x + b
There is a transformation called a reflection over the y-axis.
This works as follows, if we have a function f(x), a reflection over the y-axis is written as:
g(x) = f(-x)
If we apply this to our function, we get:
g(x) = f(-x) = m*(-x) + b
g(x) = -m*x + b
Then we can conclude that:
"When the slope m is multiplied by -1 in f(x)=mx+b, it is equivalent to a reflection over the y-axis"
Answer:
The distance between the points is 2
Step-by-step explanation:
Answer:
188.5 cm^2
Step-by-step explanation:
a) Your volume is correct.
b) The curved surface area of the cone is called the lateral area.
Its formula is:
LA = (pi)rs,
where pi is 3.14159...
r = radius of the base
s = slant height of the cone
Here, r = 6 cm, and s = 10 cm
LA = (3.14159)(6 cm)(10 cm)
LA = 188.5 cm^2
Answer:
The lower limit is 36
Upper limit is 96
Standard deviation is 30
Step-by-step explanation:
Considering the range of the test score which is 60. i.e the difference between the largest and the smallest number is 60. The mean is 66 which is a measure of central tendency. That is it is at the centre of the distribution. Dividing 60 by 2 gives 30.
Adding 30 to the mean will indicate our upper limit i.e 30+66=96
Also, subtracting 30 from 66 will give the lower limit i.e. 66-30=36
The Distance between the range and the mean is the standard deviation
Which in this case is +30 or -30
