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Kisachek [45]
3 years ago
14

Which determinants can be used to solve for x and y in the system of linear equations below?

Mathematics
2 answers:
Elena L [17]3 years ago
4 0

<u>Answer:</u>

The correct answer option is A. |A|=\begin{vmatrix}-3 &2 \\ 4&-15 \end{vmatrix}\\\\\\|A_{x}|=\begin{vmatrix}-9 &2 \\ -25 &-15 \end{vmatrix}\\\\\\|A_{y}|=\begin{vmatrix}-3 &-9 \\ 4 &-25\end{vmatrix}.

<u>Step-by-step explanation:</u>

We are given the following system of linear equations:

-3x+2y=-9

4x-15y=-25

We can create a matrix  AX = b where A is a 2×2 matrix created by the coefficients of x and y and b is a 2×1 matrix formed by the term after equality.

So the correct answer option is:

|A|=\begin{vmatrix}-3 &2 \\ 4&-15 \end{vmatrix}\\\\\\|A_{x}|=\begin{vmatrix}-9 &2 \\ -25 &-15 \end{vmatrix}\\\\\\|A_{y}|=\begin{vmatrix}-3 &-9 \\ 4 &-25\end{vmatrix}

zlopas [31]3 years ago
3 0

Answer:

The right answer is the first answer

Step-by-step explanation:

Look to the attached file

Download docx
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The length of a rectangular picture is 5 inches more than three times the width. Find the dimensions of the picture if its perim
luda_lava [24]

Answer:

<h3>Length = 29 inches</h3><h3>Width = 8 inches</h3><h3 />

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length of the rectangle

w is the width

From the question

length of a rectangular picture is 5 inches more than three times the width is written as

l = 5 + 3w

Now substitute this into the above equation

Perimeter = 74 inches

74 = 2(5 + 3w) + 2w

74 = 10 + 6w + 2w

8w = 74 - 10

8w = 64

Divide both sides by 8

w = 8 inches

Substitute w = 8 into l = 5 + 3w

That's

l = 5 + 3(8)

l = 5 + 24

l = 29 inches

<h3>Length = 29 inches</h3><h3>Width = 8 inches</h3>

Hope this helps you

4 0
3 years ago
Read 2 more answers
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Bethany s making trail mix with 3 cups of raisins for every 2 cups of peanuts
DaniilM [7]

Answer:

4 cups of raisins

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and 2 cups of cashews

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5 0
3 years ago
RS=2x-8, ST= 11, RT= x+10
swat32

Answer:

X=7 ST=11 RT=17

Step-by-step explanation:

RT=RS+ST. RS= 2(7)-8. ST=11

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3 years ago
Simplify.
Dafna1 [17]

Answer:

A) 7x^3 + 13x^2 + 8x + 9

Step-by-step explanation:

(3x^2 + 2x + 7x^3) + (10x^2 + 6x + 9)

I like to line them up vertically

7x^3 +3x^2 + 2x

+       (10x^2 + 6x + 9)

-----------------------------------

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3 years ago
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