Factor each trinomial. then match the polynomial (term) on the left with its factored form (definition) on the right. match term definition x2 – 8x – 20 a) (x – 2)(x + 10) x2 + 8x – 20 b) (x – 10)(x + 2) x2 – x – 20 c) (x – 5)(x + 4) x2 – 9x – 20 d) prime

Polynomial 1. Option B

Polynomial 2. Option A

Polynomial 3. Option C

Polynomial 4. Option D

Step-by-step explanation:

For first polynomial

x² - 8x - 20 by factorizing the polynomial we get

x² - 10x + 2x - 20 = x(x - 10) + 2(x -10) = (x +2)(x - 10)

Therefore Option B is the answer.

for polynomial 2

x² + 8x - 20 = x² + 10x -2x + 20 = x(x + 10)-2(x + 10) = (x-2)(x+10)

Therefore Option A is the answer

for polynomial 3

x² - x - 20 = x² - 5x + 4x -20 = x(x - 5) + 4(x - 5) = (x - 5)(x + 4)

Option C) matches the factors  

for option 4

x² - 9x - 20 By quadratic formula we get the factors prime.

Therefore Option D) matches the same.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.