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,

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]
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Lance invited 36 people to his party.
<u>Step-by-step explanation:</u>
It is given that,
- Lance bought 12 quarts of lemonade.
- Everyone who came to his party could have exactly 1/3 quart.
We know that,
The total quarts of lemonade available for the party = 12
Each person in the party consumes = 1/3 quart.
We need to find out how many people did Lance invited to his party.
<u>To find the number of people :</u>
Let us consider 'x' be the number of people invited to the party.
Total lemonade = number of people × lemonade for each person.
⇒ 12 = x × 1/3
⇒ 12×3 = x
⇒ x = 36 people
Therefore, Lance invited 36 people to his party.
Answer: 8
The radical sign applied to a real number gives the principal square root, which is the positive square root in the case of a positive number.
Around 10.63 because 400/37.61=10.63
Answer:
The frequency of rolling a 3 or a 6 would be the same even if you try thousands or millions times.
The probability of rolling a 3 is: 1/ total outcomes probability = 1/6
The probability of rolling a 6 is: 1/ total outcomes probability = 1/6
The probability of rolling a 6 or a 3 = 2/ total outcomes probability = 2/6 = 1/3
Therefore, if you rolling the cube 600 times, the probability of rolling a 3 or a 6 is still 1/6. If 3 and 6 are both allowed, the probability would become 1/3
Hope this helped :3