Answer:
Step-by-step explanation:
Consider the quadratic expression
First, find its discriminant:
Note that 
then 
Use quadratic formula to find the roots:
Now, given quadratic expression is equivalent to
Answer:
Leah has 48 marbles.
Step-by-step explanation:
Represent the number of marbles that each person has by L and D.
Leah has 28 more marbles than Dan: L = D + 28.
Then (1/3)L = (4/5)D. Here the LCD is 15, and so multiplying this equation by 15 will remove the fractions: 15(1/3)L = 15(4/5)D.
Therefore, 5L = 12D, and D = 5L/12.
Then, since L = D + 28, L = (5/12)L + 28, or
12L = 5L + 336, or
7L = 336, or
L = 336/7 = 48.
Leah has 48 marbles. That means that Dan has 20 marbles.
5,000 Contains 0's up until the Hundreds value while (8*5000) 40,000 Contains 0's up until the Thousands value.
Since V is a point on the line UW, therefore:
the length of UV + the length of VW = the length of UW
19 + 4x - 20 = 6x - 35
19 - 20 + 35 = 6x - 4x
34 = 2x
x = 34/2 = 17
Based on this:
UW = 6x - 35 = 6(17) - 35 = 67 cm
UV = 19 cm
VW = 4x - 20 = 4(17) - 20 = 48 cm
