Answer: Arithmetic Sequence
Step-by-step explanation:
An Arithmetic Sequence is a sequence where each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k.
5x = 4y - 3
Standard form is Ax + By = C, so first subtract 4y to both sides:
5x - 4y = -3
Answer:
y = 2x + 1
Step-by-step explanation:
Given a point and the slope, we can plug in these values into the equation to find the value of b:
y = mx + b
3 = 2(1) + b
3 = 2 + b
1 = b
Plug b into the equation:
y = 2x + 1
Answer:
65 in and 39 in respectively
Step-by-step explanation:
Let r be the common ratio; when we multiply both L and R by this common ratio, we'll get the actual length and actual width of the rectangle, Recalling that the formula for the perimeter of a rectangle is P = 2L + 2R, we get:
2(5r) + 2(3r) = 16r = 208 in
Then r = 208/16 = 13
Thus, the actual length is 5(13 in) and the actual width is 3(13 in.),
or 65 in and 39 in respectively.
As a check, calculate 65 in / 39 in; this comes out to 5:3, as required.
Then
