The reactangle has an area of x.
So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b.
So that means the side lengths are <u />a and b. And ab = x (will be using this right next).
And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:




y can not equal to -3, because the length of a side of any polygon can never be negative.
So the dilation is 3.And so if the dimension is 5 by 8.
Then the area is

And so then

And then after the dilation, it would be

We could check it another way too. Since we said the scale factor is 3, then:

So
basically
15 by 24 is the new dimensions :)
Answer:
5500 meters
Step-by-step explanation:
Meters = m
Kilometres = km
We use the general formula,
1 km = 1000 m
Then by using the general formula,
5.5 km = <u> </u><u>?</u><u> </u> m
→ 5.5 km/1 km × 1000 m
→ 5.5 m × 1000 m
→ 5500 m
Hence, the solution is 5500 m.
The ticket price which will maximize the student's council is: C. $3.10.
<h3>What is price?</h3>
Price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.
Based on the information provided about Valley High School student council, we can logically deduce the following data:
- Total number of students = 420 students.
- Lowest ticket price = $2.00.
- Increase in ticket price = $0.20.
- Attendance = 20 fewer students
<h3>How to determine the ticket price?</h3>
Mathematically, the equation which model the profit is given by:
Profit = price × number of tickets sold
P(x) = (2 + 0.2x)(420 - 20x)
P(x) = 840 + 84x - 40x - 4x²
P(x) = -4x² + 44x + 840.
For any quadratic equation with a parabolic curve, the axis of symmetry is given by:
Xmax = -b/2a
Xmax = -44/2(-4)
Xmax = -44/-8.
Xmax = 5.5
Ticket price for maximum profit is given by:
Ticket price = 2 + 0.2x
Ticket price = 2 + 0.2(5.5)
Ticket price = $3.10.
Read more on maximized profit here: brainly.com/question/13800671
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Answer:
Option B is correct.
Step-by-step explanation:
300 cm^3 of snow melts into 33 cm^3 water. We need to find how much water is produced if 600 cm^3 of snow is melt.
Solving using unitary method:
300 cm^3 of snow melts into water = 33 cm^3
1 cm^3 of snow melts into water = 33/300
600 cm^3 of snow melts into water = 33/300 *600
= 66 cm^3
So, Option B is correct.
Answer:
A
Step-by-step explanation:
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