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aksik [14]
3 years ago
13

Evaluate the determinate of the matrix with work shown.

Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

1. Divide the first row by -4

(1, -5/4, -3/2)

2. Multiply the first row by -2

(-2, 5/2, 3)

3. Subtract the first row from the third row and restore it.

1 (1, -5/4, -3/2)

3 (0, -15/2, 1)

4. Restore the first row to the original view

(-4, 5, 6)

5. Divide the second row by 4

(0, 1, 1)

6. Multiply the second row by -15/2

(0, -15/2, -15/2)

7. Subtract the second row from the third row and restore it

2 (0, 1, 1)

3 (0, 0, 17/2)

8. Restore the second row to the original view

(0, 4, 4)

9. Multiply the main diagonal elements

-4 x 4 x 17/2 = 136

Answer: Δ = 136

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Find the slope of the line that passes through Point A (7, 4) and Point B (3, 2), using the formula m=y2-y1/x2-x1
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Answer:

The slope, or m, is equal to 1/2.

Step-by-step explanation:

m = y2 - y1/x2 - x1

m = 2 - 4/3 - 7

m = -2/-4

m = 1/2

8 0
2 years ago
Sean took 4 hours to travel from Town A to Town B at an
labwork [276]

Answer:

Tina's average speed  for the whole journey = 56 kmph

Step-by-step explanation:

Time taken by Sean to travel from Town A to Town B = 4 hours.

Average speed of Sean = 70 km/h

We have equation of motion, s = ut + 0.5 at²

Time, t = 4 hours.

Initial speed, u = 70 km/hr

Acceleration, a = 0 m/s²

Substituting

      s = ut + 0.5 at²

      s = 70 x 4 + 0.5 x 0 x  4²

       s = 280 km

Distance from Town A to Town B = 280 km

Tina took 1 hour more than Sean.

Time taken by Tina to travel from Town A to Town B = 4 +1 = 5 hours

We have equation of motion, s = ut + 0.5 at²

Time, t = 5 hours.

Displacement, s = 280 km

Acceleration, a = 0 m/s²

Substituting

      s = ut + 0.5 at²

      280 = u x 5 + 0.5 x 0 x  5²

       u = 56 km/hr

Tina's average speed  for the whole journey = 56 kmph

6 0
3 years ago
Jannie has a budget of $240 to spend on jeans and shirts. She spends $95 on jeans. If the cost of each shirt is $22.50, how many
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240-95=145
145÷22.50=6.44444
OR about 6 shirts
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How many real solution does the equation b^2+8b-3=0 have?
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Two.

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3 years ago
I need help with problems 14-15.
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For 14, the answer is >. You inversed it. You are right about question 15.


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3 years ago
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