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3 years ago

Factor 256x^3 - 500y^3

1 answer:

5 0

(256 • (x3) - ( 2^2• 5^3 y^3)
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 2^8 x^3 - ( 2^2 • 5^3 y^3)

256x^3 - 500y^3 = 4 • (64x^3 - 125y^3)

64x^3 - 125y^3
______________________________________________________________
final factoization:

(4x - 5y) • (16x^2 + 20xy + 25y^2)

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Is RS perpendicular to DF? Select Yes or No for each statement. R (6, −2), S (−1, 8), D (−1, 11), and F (11 ,4) R (1, 3), S (4,7

guajiro [1.7K]

I'll do the first one to get you started.

Find the slope of the line between R (6,-2) and S (-1,8) to get

m = (y2-y1)/(x2-x1)

m = (8-(-2))/(-1-6)

m = (8+2)/(-1-6)

m = 10/(-7)

m = -10/7

The slope of line RS is -10/7

Next, we find the slope of line DF

m = (y2 - y1)/(x2 - x1)

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From here, we multiply the two slope values

(slope of RS)*(slope of DF) = (-10/7)*(-7/12)

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3 years ago

In an examination given to a class of 20 students, the following test scores were obtained.

nexus9112 [7]

Answer:

Mean = 75

Median = 80

Mode = 85

The mode

Step-by-step explanation:

Given the data :

45 45 50 50 55 60 70 75 75 80 80 85 85 85 85 90 95 95 95 100

Rearranged data :

45, 45, 50, 50, 55, 60, 70, 75, 75, 80, 80, 85, 85, 85, 85, 90, 95, 95, 95, 100

The mean score :

ΣX / n ; n = sample size = 20

ΣX = 1500

Mean = 1500 / 20 = 75

Mode = most frequently occurring = 85 ( frequency of 4)

Median = 0.5(n + 1)th term

Median = 0.5(20 + 1)th term

Median = 0.5(21) th term

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2.) The mode

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