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Kipish [7]
3 years ago
15

Which matrix best represents the system of equations below?

Mathematics
1 answer:
Effectus [21]3 years ago
6 0

\left\{\begin{array}{ccc}-10x-9y+13z=12\\8x-7y-5z=15\\5x+4y-6z=-12\end{array}\right\\\\\begin{array}{ccc}\ \ \ \ x&\ \ \ y&\ \ z\end{array}\\\left[\begin{array}{ccc|c}-10&-9&13&12\\8&-7&-5&15\\5&4&-6&-12\end{array}\right]

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Emily had $56 in her account. She deposited a $265 check, and bought three equally priced backpacks for her children. The next d
Slav-nsk [51]
56+265= 321
321-243= 78
78/3= 26
Each backpack cost $26
6 0
3 years ago
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Solve for x on the interval 0≤x&lt;2pi<br><br> cos(3x)=1/2
Ede4ka [16]

We will see that the solution in the given interval is: x = 0.349 radians.

<h3>How to solve equations with the variable in the argument of a cosine?</h3>

We want to solve:

cos(3*x) = 1/2

Here we must use the inverse cosine function, Acos(x). Remember that:

cos(Acos(x)) = Acos(cos(x)) = x.

If we apply that in both sides, we get:

Acos( cos(3x) ) = Acos(1/2)

3*x = Acos(1/2)

x = Acos(1/2)/3 = 0.349

So x is equal to 0.349 radians, which belongs to the given interval.

If you want to learn more about trigonometry, you can read:

brainly.com/question/8120556

7 0
2 years ago
0=4t-16t^2 Solve this please
vaieri [72.5K]

Answer:

\large\boxed{t=0\ \vee\ t=\dfrac{1}{4}}

Step-by-step explanation:

4t-16t^2=0\qquad\text{divide both sides by 4}\\\\\dfrac{4t}{4}-\dfrac{16t^2}{4}=\dfrac{0}{4}\\\\t-4t^2=0\\\\t(1-4t)=0\iff t=0\ \vee\ 1-4t=0\\\\1-4t=0\qquad\text{subtract 1 from both sides}\\\\-4t=-1\qquad\text{divide both sides by (-4)}\\\\t=\dfrac{1}{4}

7 0
3 years ago
Solve xy - 3 = k solve for x
ladessa [460]

Answer:

x=(k+3)/y

Step-by-step explanation

First, we simplify by adding 3 to both sides of the equation

xy-3+3=k+3

Now it's xy=k+3

To get x we divide both sides by y

So x=(k+3)/y

3 0
3 years ago
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3 x 1/4 what is the answer to the question?
Zarrin [17]

Answer:3/4

Step-by-step explanation:

1x3=3

4 0
3 years ago
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