Answer:
x = 1 ±2sqrt(5)
Step-by-step explanation:
2x^2-4x-9=29
Add 9 to each each side
2x^2-4x-9+9=29+9
2x^2-4x=38
Divide by 2
2/2x^2-4/2x=38/8
x^2 -2x =19
Complete the square
x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2
x^2 -2x +1 = 19+1
(x-1)^1=2 = 20
Take the square root of each side
sqrt((x-1)^2) = ±sqrt(20)
x-1 = ±sqrt(20)
Add 1 to each side
x-1+1 = 1 ±sqrt(20)
x = 1 ±sqrt(20)
Simplifying the square root of 20
x = 1 ±sqrt(4)sqrt(5)
x = 1 ±2sqrt(5)

This line is in the format
, where
is the slope.
A horizontal line has a slope of
.
A vertical line has an undefined slope.
A positive slope makes the line go upwards and to the right.
<em>A negative slope makes the line go downwards and to the right.</em>
Answer: Fourth option is correct.
Step-by-step explanation:
Since we have given that
Timothy scored 83 out of 100.
His percentile rank in his class = 72
Clayton scored 85 out of 100.
His percentile rank in his class = 70.
Since Clayton's percentile rank is lower than Timothy's rank.
So, Timothy performed better with respect to the rest of the students in the class.
Hence, Timothy as his percentile score is higher.
Therefore, Fourth option is correct.