The correct answer is:
B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).
Step-by-step explanation:
Given
Dilation: D : (x,y) => (4x,4y)
And Vertices
A ( 2, 1 ), B ( 4, 1 ), C ( 4, -3 )
Applying dilation on all vertices
To find the scale factor,
As we are multiplying each vertex coordinate by 4, the dilation factor is 4.
Moreover,
Hence the scale factor is 4.
So,
The correct answer is:
B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).
Keywords: Dilation, Scale factor
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Caleb had to share 3 1/4 boxes of supplies with his 12 classmates. So, the fraction of each student receives 13/48 of a box of supplies.
To find out what fraction of a box each student receives, we need to divide the total number of boxes (3 1/4 boxes) by the number of students (12 classmates).
Step 1: Convert 3 1/4 to an improper fraction.
3 1/4 = (4 × 3 + 1) / 4 = 13/4
Step 2: Divide the total number of boxes by the number of students.
Fraction of a box per student = (Total boxes) / (Number of students)
Fraction of a box per student = 13/4 ÷ 12
Step 3: To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number (flipping the fraction).
Fraction of a box per student = 13/4 × 1/12
Step 4: Simplify the fraction if possible.
Fraction of a box per student = 13/4 × 1/12 = 13/48
So, each student receives 13/48 of a box of supplies.
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B) 11 square root of 3 end root minus 7 square root of 6
C) negative 3 square root of 9
D) 4 square root of 9
The simplest form of the expression ''7 square root of 3 end root minus 4 square root of 6 end root plus the square root of 48 end root minus the square root of 54'' would be, ''11 square root of 3 end root minus 7 square root of 6''. Hence, option B is true.
Used the concept of the square root of a number that states that,
The square root of a number is the number that, when multiplied by itself, gives the original number.
Given that the expression is,
7 square root of 3 end root minus 4 square root of 6 end root plus the square root of 48 end root minus the square root of 54.
Now, the mathematical form of the expression is,
Simplify each term,
Combine like terms,
It can be written as,
11 square root of 3 end root minus 7 square root of 6.
Hence, option B is true.
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B. 19.5
C. 16.5
D. 18.5
help pls