Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
(a)
here m = - 
and c = 6, hence
y = - x + 6 ← equation of line
(b)
here m = 6, hence
y = 6x + c ← is the partial equation
to find c substitute (2, - 6 ) into the partial equation
- 6 = 12 + c ⇒ c = - 6 - 12 = - 18
y = 6x - 18 ← equation of line
(c)
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (4, 7)
m = 
= 
, hence
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 1, 3 ), then
3 = - + c → c = 3 + = 
y = x + ← equation of line
Answer:
y = -3.71x + 147.25
Step-by-step explanation:
Answer:
I think your gonna have to do this one on your own because this is a whole experiment. Just saying. :)
Step-by-step explanation:
Answer:
34
explanation:
First of all, put the numbers in order
30, 31, 31, 32, 33, 35, 35, 35, 36, 36
Then, find the middle number.
In this case, there is an even amount of numbers so, we have to pick the 2 middle numbers which is 33 and 35.
Now all you have to do is add these two numbers together then divide by 2 which will give you 34.
or, in simpler questions like this one, you can just say 34 as you know it is between 33 and 35.
In other questions, it might have and odd amount of numbers, for example:
3, 3, 5, 8, 10
so all you would do here is pick the middle number which would be 5. (it has 2 numbers on each side of it)
Answer: 2/3πx³
Step-by-step explanation:
Let the radius of the cone be represented by x.
Since the height of the cone is twice the radius of its base, the height will be: = 2x
Volume of a cone = 1/3πr²h
where,
r = x
h = 2x
Volume of a cone = 1/3πr²h
= 1/3 × π × x² × 2x
= 1/3 × π × x² × 2x
= 1/3 × π × 2x³
= 2/3πx³
Therefore, the correct answer is 2/3πx³.
