Answer: The first card is a diamond and the second card is a heart. Both cards are hearts. Let H denote the event that a heart is drawn; let D denote the event that a diamond is drawn. The first card is a diamond and the second card is a heart: The probability of drawing a diamond on the first draw
Step-by-step explanation:
Answer:
C) (a-12b)(a+12b)
Step-by-step explanation:
a^2-144b^2 = (a-12b)(a+12b)
This is the formula that when two terms squared are written with a minus sign between them their factors are the product of the original numbers once with a plus sign and once with the minus sign.
This can be explained by multiplying them.
(a-12b)
<u> *(a+12b) </u>
a²- 12ab
<u> +12ab - 144b² </u>
<u> a² +0 - 144b² </u>
We see we get the same answer as applying the formula above.
Answer:
1. BD bisects <CBE, AE || BD (Given)
2. <EBD ~= <CBD (Definition of < Bisectors)
3. <AEB ~= <EBD (Alternate Interior Angles Theorem)
4. <CAE ~= <CBD (Corresponding Angles Postulate)
5. <CAE ~= <AEB (Transitive Property of Congruence)
6. AB ~= BE (Converse of Isosceles Triangles Theorem)
Answer:
(
0
,
5
)
,
(
1
,
3
)
(
2
,
1
)
Step-by-step explanation:
1. x=0
y=-2(0)+5
y=5
(
0
,
5
)
2. x=1
y=-2(1)+5
y=-2+5
y=3
(
1
,
3
)
3. x=2
y=-2(2)+5
y=-4+5
y=1
(
2
,
1
)