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Over [174]
3 years ago
11

What does it mean for rows to be linearly independent?

Mathematics
1 answer:
garri49 [273]3 years ago
4 0
It means no rows in the set can be written or defined as a linear combination of the others.
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Krystal left the hardware store and traveled toward the recycling plant at an average speed of 61 mph. Scott left at the same ti
tiny-mole [99]

Since Krystal and Scott is heading on opposite directions, therefore the distance between the two would be the sum of their distances from where they left, so:

total distance (d) = distance covered by Krystal (dK) + distance covered by Scott (dS)

d = dK + dS

 

We know that the formula for distance is:

distance = velocity * time

 

So,

d = vK * t + vS * t

where

vK = velocity of Krystal = 61 mph

vS = velocity of Scott = 65 mph

d = 252 miles

 

Therefore:

252 = 61 t + 65 t

126 t = 252

t = 2 hours

 

Therefore Scott needs to travel for 2 hours.

4 0
3 years ago
What are the dimensions of the base of the pyramid?
aleksley [76]

Answer:

C

Step-by-step explanation:

its a wild guess because you didn't add a picture or anything to show the  pyramid

4 0
3 years ago
Three girls search for geodes in the desert. corinne collected 11 1/8 pounds, ellen collected 4 5/8 pounds, and leonda collected
jeyben [28]
9 3/4. Is the answer
4 0
3 years ago
Jori has 2 gallons of distilled water and uses 7/6 gallon in a science experiment. What fraction of a gallon does she have left?
Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

6/6 = 1 gallon

12/6 = 2 gallons

12/6 - 7/6 = 5/6

5/6 should be the answer

5 0
3 years ago
(x^(2)-11x+30)/(x^(2)-25)*(x^(2)+6x+5)/(x-5x-6) simplify the rational expression
DanielleElmas [232]
Simplify the following:
((x^2 - 11 x + 30) (x^2 + 6 x + 5))/((x^2 - 25) (x - 5 x - 6))

The factors of 5 that sum to 6 are 5 and 1. So, x^2 + 6 x + 5 = (x + 5) (x + 1):
((x + 5) (x + 1) (x^2 - 11 x + 30))/((x^2 - 25) (x - 5 x - 6))

The factors of 30 that sum to -11 are -5 and -6. So, x^2 - 11 x + 30 = (x - 5) (x - 6):
((x - 5) (x - 6) (x + 5) (x + 1))/((x^2 - 25) (x - 5 x - 6))

x - 5 x = -4 x:
((x - 5) (x - 6) (x + 5) (x + 1))/((x^2 - 25) (-4 x - 6))

Factor -2 out of -4 x - 6:
((x - 5) (x - 6) (x + 5) (x + 1))/(-2 (2 x + 3) (x^2 - 25))

x^2 - 25 = x^2 - 5^2:
((x - 5) (x - 6) (x + 5) (x + 1))/(-2 (x^2 - 5^2) (2 x + 3))

Factor the difference of two squares. x^2 - 5^2 = (x - 5) (x + 5):
((x - 5) (x - 6) (x + 5) (x + 1))/(-2(x - 5) (x + 5) (2 x + 3))

((x - 5) (x - 6) (x + 5) (x + 1))/((x - 5) (x + 5) (-2) (2 x + 3)) = ((x - 5) (x + 5))/((x - 5) (x + 5))×((x - 6) (x + 1))/(-2 (2 x + 3)) = ((x - 6) (x + 1))/(-2 (2 x + 3)):
((x - 6) (x + 1))/(-2 (2 x + 3))

Multiply numerator and denominator of ((x - 6) (x + 1))/(-2 (2 x + 3)) by -1:

Answer: (-(x - 6) (x + 1))/(2 (2 x + 3))
4 0
3 years ago
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