Step-by-step explanation:
where is the graph this question makes no sense
Answer:
y=2x - 4
Step-by-step explanation:
slope intercept is y = mx+b, where m is slope and b is y intercept.
subtract 2x from both sides of the equation
-y = 4 - 2x
multiply each term in -y = 4 - 2x by -1
(-y) . -1 = 4 . -1 + (-2x) . -1
y= 4. -1 + (-2x) . -1
simplify
y= -4 + 2x
Reorder
y= 2x - 4
Clearly, |S| = 50.
Count the multiples of 2 between 1 and 50:
⌊50/2⌋ = ⌊25⌋ = 25
(where ⌊x⌋ denotes the "floor of x", or the largest integer that is smaller than or equal to x; in other words, round <u>down</u> to the nearest integer)
Count the multiples of 3 between 1 and 50:
⌊50/3⌋ ≈ ⌊16.667⌋ = 16
Since LCM(2, 3) = 6, the sets of multiples of 2 and multiples of 3 have some overlap. Count the multiples of 6 between 1 and 50:
⌊50/6⌋ ≈ ⌊8.333⌋ = 8
Then by the inclusion/exclusion principle, we remove from S
25 + 16 - 8 = 33
elements, so that the new set S contains 50 - 33 = 17 elements.
Answer:
1. sometimes true
A rhombus is a quadrilateral with all equal size and length. A square is a quadrilateral with all equal size and length, and all right angles around bus, however, can be a square if it has right angles.
2. always true
A square has to have all equal sides and all right angles, however, a rectangle has to have right angles and opposite sides are equal to each other. So if a square has equal sides, it can be considered a rectangle since both opposite sides are equal
3. sometimes true
A parallelogram is a quad roulette or with parallel and equal opposite sides, and a rectangle has right angles and equal opposite sides, therefore, if the parallelogram has right angles, then it is considered a rectangle
4. always true
A quadrilateral has to have 4 sides and the rectangle has 4 sides there, for it is considered a quadrilateral
5. never true
A parallelogram is a quadrilateral, therefore, it has to have 4 sides, but a hexagon has to have 6 sides, therefore, it is never a hexagon
