The winner got $70,000 and the runner up got $14,000
Let the winner be represented by x and runner up by y
Data given;
- Amount to be shared = $84000
- x = 5y
This is a simple case of ratio i.e 1 : 5
<h3>Equation</h3>

The runner up received $14000. let's use this data to find how much the winner got.

From the calculations above, the winner got $70,000 and the runner up got $14,000.
Learn more about ratios here;
brainly.com/question/1781657
The answer is 17 because all the others can be Times by more than one and itself
Answer:
2 ( 2a + 3b - 4)
Putting the value of a= 2 and b = 3 in the equation
2( 2(2) + 3(3) -4)
2 (4 + 9 -4)
2( 4 -4 + 9)
2 (0 + 9)
2 (9)
2 × 9
18
Answer:
y - 32 = 4(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 1 = 4(x + 3) ← is in point- slope form
with slope m = 4
Parallel lines have equal slopes.
Using m = 4 and (a, b) = (4, 32), then
y - 32 = 4(x - 4) ← equation of parallel line
Answer:
Options (2) and (3)
Step-by-step explanation:
Let, 

-8 + 8i√3 = a² + b²i² + 2abi
-8 + 8i√3 = a² - b² + 2abi
By comparing both the sides of the equation,
a² - b² = -8 -------(1)
2ab = 8√3
ab = 4√3 ----------(2)
a = 
By substituting the value of a in equation (1),


48 - b⁴ = -8b²
b⁴ - 8b² - 48 = 0
b⁴ - 12b² + 4b² - 48 = 0
b²(b² - 12) + 4(b² - 12) = 0
(b² + 4)(b² - 12) = 0
b² + 4 = 0 ⇒ b = ±√-4
b = ± 2i
b² - 12 = 0 ⇒ b = ±2√3
Since, a = 
For b = ±2i,
a =
= 
= 
But a is real therefore, a ≠ ±2i√3.
For b = ±2√3
a = 
a = ±2
Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)
Options (2) and (3) are the correct options.