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Angelina_Jolie [31]
3 years ago
8

Calculate the value for each determinant:

Mathematics
1 answer:
Dafna1 [17]3 years ago
4 0

Answer:

See explanations below

Step-by-step explanation:

Example of how to find the determinant of a 2×2 matrices is as shown;

\left[\begin{array}{ccc}a&b\\c&d&\end{array}\right]

= (a*d)-(b*c)

= ad - bc

Applying this to solve the given questions

1) (3*4) - (-3*-1)

= 12 - (3)

= 9

2) (-12*5)-(-1*12)

= -60 - (-12)

= -60+12

= -48

3) (0*4)-(-1*17)

= 0-(-17)

= 0+17

= 17

4) (8*-1)-(-4*-1)

= -8-(4)

= -8-4

= -12

5) (2*-1)-(2*-1)

= -2-(-2)

= -2+2

= 0

6) 1(1) - 0(0)

= 1 - 0

= 1

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Answer:

-15×2=-30

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A lawn mower is pushed a distance of 100 ft. Along a horizontal path by a constant force of 60 lbs. Yhe handle of the lawn mower
olga2289 [7]
For this case we have the following equation:
 w = || F || • || PQ || costheta
 Where,
 || F ||: force vector module
 || PQ ||: distance module
 costheta: cosine of the angle between the force vector and the distance vector.
 Substituting values:
 w = (60) * (100) * (cos (45))
 w = 4242.640687 lb.ft
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The work done pushing the lawn mower is: 
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6 0
4 years ago
PLEASE HELP ME WITH THIS 17 points!! PLEASEEEE IM BEGGING YOU!!!
slega [8]

Answer:

x = 2

Step-by-step explanation:

Step 1: Convert to math

5x + 1 = 3x + 5

Step 2: Solve for <em>x</em>

  1. Subtract 4x on both sides: 2x + 1 = 5
  2. Subtract 1 on both sides: 2x = 4
  3. Divide both sides by 2: x = 2

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

5(2) + 1 = 3(2) + 5

10 + 1 = 6 + 5

11 = 11

7 0
3 years ago
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Selma went shopping and bought identical sweaters for each of 3 friends. If she spent $42, what was the cost of each sweater? In
faust18 [17]

Answer:

14 dollars

Step-by-step explanation:

42 / 3 = x amount of dollars

14 = x

so every one sweater costs 14 dollars

7 0
3 years ago
I’m confused on this one
leva [86]
P = 19 + 19 + 10 + 10
P = 58

answer
P = 58 cm
6 0
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