Answer:
4. 3 units
5. Triangle
6. (0,2)
Step-by-step explanation:
4. The distance between the x axis and the point (8,3) is 3 units
5. Triangle will be formed if the points A(-3, 0), B (0,3) and C (3,0) are joined together
6. Since the point lie on the y-axis, its x co-ordinate will be zero and the point will be (0,2)
-4d + 2(3+d)= -14
distribute the 2(3+d)
-4d + 6+ 2d= -14
Combine the like terms
-4d + 2d + 6= -14
-2d + 6 = -14
subtract 6 to -14
-2d = -20
divide by -2
d= -20/-2
d= 10
Check your answer
-4(10) + 2(3+ 10) = -14
-40 + 6 + 20
-40 + 26= -14
There are 13 total hearts in the deck, which leaves 39 non-hearts. You're drawing a hand of five cards, so the probability of getting exactly 3 hearts is
as required.
You would need to multiply 35 x .6 (which is 60%).
35 x .6 = 21, so at least 21 members need to be present to vote.