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AURORKA [14]
2 years ago
6

Piglet measured the rectangle on his paper. Two sides were each 4 inches long. If the perimeter of the rectangle was 30 inches h

ow long was one of the other two sides
Mathematics
1 answer:
V125BC [204]2 years ago
6 0
The answer is 11 inches.
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What is the determinant of the coefficient matrix of the system {4x+3y+2z=0 -3x+y+5z=0 -x-4y+3z=0
slava [35]

Answer:

  130

Step-by-step explanation:

You want the determinant of the matrix ...

  \left[\begin{array}{ccc}4&3&2\\-3&1&5\\-1&-4&3\end{array}\right]

One way to figure it is as the difference between the sum of products of the down-diagonals and the sum of products of the up-diagonals:

  D = (4)(1)(3) +(3)(5)(-1) +(2)(-3)(-4) -(-1)(1)(2) -(-4)(5)(4) -(3)(-3)(3)

  = 12 -15 +24 +2 +80 +27

  D = 130

The determinant of the coefficient matrix is 130.

_____

Many scientific and graphing calculators and web sites can perform this calculation for you.

7 0
3 years ago
What are the solutions to the quadratic equation (5y + 6)2 = 24? y = and y = y = and y = y = and y = y = and y =
satela [25.4K]
The correct result would be y = -6/5 - (2 * sqrt(6))/5 and<span> y = (2 * sqrt(6))/5 - 6/5.

</span>
8 0
2 years ago
Read 2 more answers
In a chest there are some gold coins. Captain takes half the coins. Sally takes a quarter of the coins. There are 3 coins left.
amid [387]

Answer:

<u>There were 12 gold coins in the chest at the start.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = Number of gold coins in a chest

1/2x = Number of gold coins taken by the captain

1/4x = Number of gold coins taken by Sally

3 = Number of gold coins left

2. How many coins were in the chest at the start?

Let's write the following equation to solve for x:

1/2x + 1/4x + 3 = x

2x + x + 12 = 4x (Lowest Common Denominator is 4)

4x - 2x - x = 12 (Like terms)

x = 12

<u>There were 12 gold coins in the chest at the start.</u>

3 0
3 years ago
A pile of newspapers in Ms.
xz_007 [3.2K]

Answer:

102

Step-by-step explanation:

4times 7=28. 28times4=102

7 0
3 years ago
Help the question is in the picture please help help
Reika [66]
I just tried to help someone with the same problems. I hope this helps you

7 0
2 years ago
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