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grigory [225]
3 years ago
15

A polygon on a coordinate grid was transformed using the rule(x,y)>(x-4,y-3).Which of the following describes this transforma

tion
Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

Answer:

True

Step-by-step explanation:

Step 1: Find the Coordinates of the Original Triangle

(2, -2)

(6, -3)

(5, 2)

Step 2: Apply the Transformation to the Coordinates

(2-(4),-2+(3))   ->     (-2, 5)

(6-(4),-3+(3))   ->     (2, 0)

(5-(4),2+(3))    ->     (1, 5)

Step 3: Compare the points on the red triangle with the points you got

(-2, 5) = (-2, 5)

(2, 0) = (2, 0)

(1, 5) = (1, 5)

Because the coordinates are the same we can conclude that the triangle was transformed with the rule: (x,y)-> (x-4,y+3)

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-\frac{3}{4}+3\frac{1}{4}*1\frac{1}{5}= -\frac{3}{4}+\frac{13}{4}*\frac{6}{5}= \\ \\ =-\frac{3}{4}^{(5}+\frac{39}{10}^{(2}= \\ \\ =\frac{-15+78}{20}= \\ \\ =\boxed{\frac{63}{20}}
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The formula for perimeter of a rectangle is P=2L+2W where L is the length and w is the width. A rectangle has a perimeter of 24
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3 years ago
Farmer Theresa's Produce Stand sells 27.5 lbs. bags of mixed nuts that contain 44% peanuts. To make her product she combines Bra
masya89 [10]

Answer:

Theresa needs 14.3 pounds of Brand A mixed nuts and 13.2 pounds of Brand B mixed nuts.

Step-by-step explanation:

Let A represent the brand A mixed nuts and B represent Brand B mixed nuts.

We have been given that farmer Theresa's Produce Stand sells 27.5 lbs. bags. We can represent this information in an equation as:

A+B=27.5...(1)

We are also told that to make her product she combines Brand A mixed nuts which contain 20% peanuts and Brand B mixed nuts which contain 70% peanuts.

We can represent this information in an expression as:

0.20A+0.70B

Since the stand sells 27.5 lbs. bags of mixed nuts that contain 44% peanuts. We can represent this information in an equation as:

0.20A+0.70B=0.44(27.5)...(2)

Upon substituting equation (1) in equation (2), we will get:  

0.20(27.5-B)+0.70B=0.44(27.5)

5.50-0.20B+0.70B=12.10

5.50+0.50B=12.10

5.50-5.50+0.50B=12.10-5.50

0.50B=6.6

\frac{0.50B}{0.50}=\frac{6.6}{0.50}

B=13.2

Therefore, Theresa needs 13.2 pounds of Brand A mixed nuts.

To find amount of Brand B mixed nuts, we will substitute B=13.2 in equation (1) as:

A+13.2=27.5

A+13.2-13.2=27.5-13.2

A=14.3

Therefore, Theresa needs 14.3 pounds of Brand B mixed nuts.

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4 years ago
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The 3 in the hundreds place (value of 300) has a value that is 10x the 3 in the tens (value of 30).
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Question 3
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