Answer:
The equation of the line is y = -1.5x + 3
The y-intercept is (0,3)
The value of k is 3.
Step-by-step explanation:
y - 0 = -1.5 (x - 2)
y = -1.5x + 3
Answer:
9 units²
Step-by-step explanation:
This is a trapezium.
The length of the two parallel lines (on top and bottom) are 5 units and 1 units.
The height of the trapezium is 3 units. Using these information, we can apply the formula for area of trapezium to find the answer.
Area = 1/2 (5 + 1) x 3 = 9 units²
Answer:
1. Yes
2. No
3. No
4. No
5. Yes
Step-by-step explanation:
Do you mean equal proportion?
1. 3 : 9 = 6 : 18 TRUE because 3 : 9 = 1 : 3 and 6 : 18 = 1 : 3
2. 28 : 7 = 64 : 16 FALSE because they are just not related.
3. 95 : 100 = 17 : 20 FALSE because the closest they get are 19 : 20 ≠ 17 : 20
4. 60 : 80 = 14 : 16 FALSE because the closest they get are 60 : 80 = 6 : 8 and 14 : 16 = 7 : 8
5. 200 : 300 = 24 : 36 TRUE because 200 : 300 = 2 : 3 and 24 : 36 = 2 : 3
Inc on (-inf,0)
Dec on (0,inf)
Answer:
x=4
Step-by-step explanation:
It suffices to equate any two sides and then check whether the solution is valid for the third side.
Taking 2x and 3x-4 and equating:
2x = 3x-4
x = 4
This means the sides are both of length 8. Now check whether for x=4 the third side is also of length 8:
x+4=4+4=8
which indeed works out confirming x=4 being a valid solution
