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Oksanka [162]
3 years ago
10

Evaluate the determinant for the following matrix [144] [522] [155]

Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0
Matrix :

1    4    4

5    2    2

1    5    5

=> Determinant =

1 * (2*5 - 2*5) - 4 * (5*5 - 1*2) + 4 * ( 5*5 - 2*1)

= 1*(10 - 10) - 4*(25 - 2) + 4*(25 -2) = 1*0 + 4* 23 + 4*(25 - 2) = 0 - 4*23 + 4*23 = 0

Answer: 0
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Solve the equation below:<br><br> ln x- ln 5= -1
Anastaziya [24]

Answer:

x = 5/e

Step-by-step explanation:

ln x- ln 5= -1

We know that ln a - ln b = ln (a/b)

ln x- ln 5= -1

ln(x/5) = -1

Raise each side to the power of e

e^ ln(x/5) = e^-1

We know that e^-1 = 1/e

x/5 = 1/e

Multiply each side by 5

x/5 *5 = 1/e * 5

x = 5/e

4 0
4 years ago
If a cylinder has a volume of 54 cubic inches what would be the voulume of a cone with the same radius
Mademuasel [1]

Answer:

a) 16 in³

Step-by-step explanation:

Vol (cyl) = πr²h = 54

Vol (cone) =  πr²h/3

54/3 = 16

6 0
3 years ago
Find the value of 1 x in two parallel lines
Mazyrski [523]

Answer:

18

Step-by-step explanation:

4x + 5x = 180

10x = 180

x = 18

5 0
2 years ago
Read 2 more answers
Karen’s batting average was 0.444 she was at bat 45 times. How many hits did she get ?
Luden [163]
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8 0
4 years ago
Solve for x. PLZ WAIT FOR THE PHTO TO UPLOAD
stepan [7]
6x² - 5x + -21 = 0

Because this whole equation equals zero, we must simply factorize the first half of the equation, or the left side.

(3x - 7)(2x + 3) = 0

I was never really taught a specific way to factorize, so I usually just guess and check when factorizing. It usually takes a long time, it always gives you the tight answer.

Then, take each equation and make it equal zero.

3x - 7 = 0 AND 2x + 3 = 0

3x - 7 = 0

Add 7 to both sides.

3x = 7

Divide both sides by 3.

x = 7/3

Now, we do our second equation.

2x + 3 = 0

Subtract 3 from both sides.

2x = -3

Divide both sides by 2.

x = -3/2

So, x = 7/3 AND x = -3/2

So, your answer is C) x = 7/3, x = -3/2

~Hope I helped!~
7 0
3 years ago
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