Step-by-step explanation:
gradient = slope or several other words.
it describes how strongly a line (or tangent to a bent curve) is going up or down or ... if it is changing at all.
it is represented by the ratio
(y coordinate change / x coordinate change)
when going from one point on the line to another.
in our case, when going from A to B we have
x changes by -2k (from 3k to k).
y changes by -11 (from 8 to -3).
so, the gradient or slope is
-11/-2k = 3
11/2k = 3
11 = 3×2k = 6k
k = 11/6
A = (33/6, 8) = (11/2, 8)
B = (11/6, -3)
They are all different sizes.
2/3 • 1/5 = 2/15
'of' always means multiplication.
PERIMETER = 2 (LENGTH + WIDTH)
PERIMETER = 2 LENGTH + 2 WIDTH
Given: Length 5 inches
P = 2(5 in) + 2w
P = 10 in + 2w
Perimeter is dependent in both length and width. Changes in any length of width will automatically change perimeter.
For find width using the perimeter formula:
P = 10 + 2w
P - 10 = 2w
(P-10)/2 = w
P/2 - 5 = w
w = P/2 - 5
If the perimeter and length is given, you can use the derived formula to solve for width.
