Answer:
D
Step-by-step explanation:
step 2 : x + 3 = 0 and x - 5 = 0 ← correct
step 3
x = 3 and x = - 5 ← error made here with signs, correct statement should be
x + 3 = 0 ⇒ x = - 3
x - 5 = 0 ⇒ x = 5
Answer:

Step-by-step explanation:
ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:

We have:

Substitute:
<em>cross multiply</em>

Use the Pythagorean theorem:

Substitute:

Answer:
z = 32/3
Step-by-step explanation:
Presuming all the horizontal lines are parallel, the ratios of lengths will be identical.
3/8 = 4/z
3z = 8(4)
z = 32/3
Solution :
It is given that four different prizes were awarded. So,
a). 4 ways for person 47 to win a prize
99 ways to give out the 2nd prize
98 ways to give the 3rd prize
97 ways to give the last prize
∴ P(99,3) = 99 x 98 x 97
b). 1 way to give person 47 their prize
1 way to give person 19 their prize
98 ways to give out the 3rd prize
97 ways to give out the last prize
So, P(98,2) = 98 x 97
Answer:
-9*F
Step-by-step explanation: