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IrinaVladis [17]
2 years ago
13

Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?.

Mathematics
1 answer:
stellarik [79]2 years ago
8 0

The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,

[ 0  12 12  0]

[ 0  0  12  6]

<h2>We have to determine</h2>

Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?

<h3>According to the question</h3>

The vertices of the triangle are

The scale factor is 3.

<h3>The vertices of the triangle are scaled with the factor of 3 so the vertices are get multiplied by 3.</h3>

Therefore,

The vertices of the rectangle after scaled by the factor of 3 are,

\rm (0, 0), (4, 0), (4, 4) \ and\  (0, 2)\\\\ (0\times 3, 0\times 3), (4 \times 3, 0 \times 3), (4 \times 3, 4 \times 3) \ and \ (0 \times 3, 2 \times 3) \\\\ (0, \ 0), (12, \ 0), (12, \ 12), \ (0,\ 6 )

The vertices of the rectangle after it are scaled by a factor of 3.

Therefore,

The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,

[ 0  12 12  0]

[ 0  0  12  6]

To know more about Matrix click the link given below.

brainly.com/question/2489305

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Find the difference between 7 1/2 and 2 3/4
NNADVOKAT [17]

Answer:

4\frac{3}{4} or 4.75

Step-by-step explanation:

first we're going to convert the number into improper fractions.

7\frac{1}{2}= \frac{15}{2} and 2\frac{3}{4}= \frac{11}{4}

For subtracting it is suitable to adjust both fractions to an equal denominator, so we're going to multiply \frac{15}{2}x2, it'll equal the same number.

So now we have \frac{30}{4}-\frac{11}{4}, 30-11= 19.

\frac{19}4} simplified is, 4\frac{3}{4}.

As you can see I also added 4.75 as an answer, that's if the answer must be a decimal.

I hope this helps you!

3 0
3 years ago
Solve the system of equations. 5x y = 9 3x 2y = 4 (−2, 5) (1, 4) (2, −1) (4, −4)
kobusy [5.1K]

The solution of the system of equations that is given is (2,-1).

Given a system of equations are 5x+y=9 and 3x+2y=4.

A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.  A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.

The given equations are

5x+y=9    ......(1)

3x+2y=4  ......(2)

Here, the substitution method is used to solve the system of equations.

Find the value of y from equation (1) by subtracting 5x from both sides.

5x+y-5x=9-5x

y=9-5x

To find the value of x substitute the value of y in equation (2).

3x+2(9-5x)=4

Apply the distributive property a(b+c)=ab+ac as

3x+2×9-2×5x=4

3x+18-10x=4

Combine the like terms on the left side as

-7x+18=4

Subtract 18 from both sides and get

-7x+18-18=4-18

-7x=-14

Divide both sides by -7 and get

(-7x)÷(-7)=(-14)÷(-7)

x=2

Substitute the value of x in equation (1) and get

5(2)+y=9

10+y=9

Subtract 10 from both sides

10+y-10=9-10

y=-1

Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).

Learn more about system of equations from here brainly.com/question/13729904

#SPJ4

6 0
2 years ago
Which is greater 2 2/3, 2.45, 2 2/5
timofeeve [1]

This is least to greatest

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How lond did the famouse war of 100 years last ?
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Answer:

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Identify all the sets to which 0.41567 belongs. Choose from rational,irrational,whole,and integer
jok3333 [9.3K]
0.41567 is:
 
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... not irrational for the same reason
... not whole (obviously)
... not integer (obviously)

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3 years ago
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