Answer:
= 486 in²
Step-by-step explanation:
Linear scale factor = Image distance/object distance
Therefore; Linear scale factor = OL'/OL
= 54/ 12
= 9/2
Area scale factor is equivalent to the square of linear scale factor
Thus;
Area scale factor = (9/2)²
= 81/4
Hence; 81/4 = Area of larger rectangle/Area of smaller rectangle
Area of the smaller rectangle = 4 ×6 = 24 in²
Therefore;
Area of enlarged or larger pic = 81/4× 24
<u>= 486 in²</u>
Answer:
20a + -5b + -9
Step-by-step explanation:
Answer:
-3x - 6y = 17
-3x - 17 = 6y
y = -3/6*x - 17/6 = -1/2*x - 17/6
y = 2 * (x - 6) + 3 = 2x - 12 + 3 = 2x - 9
The price of one hat is $2 and one pair of mittens is $5
Step-by-step explanation:
Hats and mittens are on sale at the store!
- One woman was able to buy 5 hats and 4 pairs of mittens for $30
- Another woman purchased 3 pairs of mittens and 2 hats for $19
- The price of one hat is x
- The price of one pair of mittens is y
We need to find x and y
∵ One woman was able to buy 5 hats and 4 pairs of mittens for $30
∵ The price of one hat is x
∵ The price of one pair of mittens is y
- Multiply 5 hats by x and 4 pairs of mittens by y and equate
their sum by 30
∴ 5x + 4y = 30 ⇒ (1)
∵ Another woman purchased 3 pairs of mittens and 2 hats for $19
- Multiply 2 hats by x and 3 pairs of mittens by y and equate
their sum by 19
∴ 2x + 3y = 19 ⇒ (2)
Now we have a system of equations to solve it
Multiply equation (1) by -2 and equation (2) by 5 to eliminate x
∵ -10x - 8y = -60 ⇒ (3)
∵ 10x + 15y = 95 ⇒ (4)
- Add equations (3) and (4)
∴ 7y = 35
- Divide both sides by 7
∴ y = 5
Substitute the value of y in equation (1) or (2) to find x
∵ 2x + 3(5) = 19
∴ 2x + 15 = 19
- Subtract 15 from both sides
∴ 2x = 4
- Divide both sides by 2
∴ x = 2
The price of one hat is $2 and one pair of mittens is $5
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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