Average rate of change = (x(4) - x(2))/(4 - 2) = ((4 + 2(4)^2) - (2 + 2(2)^2))/2 = ((4 + 2(16)) - (2 + 2(4)))/2 = ((4 + 32) - (2 + 8))/2 = (36 - 10)/2 = 26/2 = 13.
Therefore, average velocity is 13 m/s
So hmm notice the first picture, that's the "inscribed angle theorem", as you'd know
now, notice angle 2 in yours on the second picture
In this question, we are required to find the total amount he paid to buy the shirt.
It is given that sales tax is 5.5 % over the amount paid.
The cost price of the shirt = $ 24.
The total amount will be = Cost price + 5.5 % of Cost price
Or
Total amount paid = $ 24 × 1.055 (i.e. 100 % + 5.5 %)
Total amount = $ 24 + (5.5 % × $ 24)
Total amount paid = $ 24 + $ 1.32 = $ 25.32
The point slope form is y - 8 = 4(x + 6) and the slope intercept form would be y = 4x + 32.
In order to find this, we'll start with the base form of point-slope form.
y - y1 = m(x - x1) ----> Plug in the numbers
y - 8 = 4(x - -6) ----> Simplify
y - 8 = 4(x + 6)
Now to find slope intercept form, solve for y.
y - 8 = 4(x + 6) ----> distribute the 4
y - 8 = 4x + 24 -----> add 8 to both sides
y = 4x + 32