Answer: scale factor = 1.5
Step-by-step explanation:
Given: Triangle ABC is a scaled copy of triangle DEF.
Side AB = 12 cm and is the longest side of ABC.
Side DE = 8 cm and is the longest side of DEF.
AB is corresponds DE (longest side of both triangles)
So, 
Hence, the scale factor = 1.5.
Answer:
Let bags of pecans cost = x
Make an equation :
Bags of almonds cost = x + 3 (they said almonds cost 3 dollars more)
Total number of bags ordered: (3 bags pecans) + (5 bags of almonds)
Cost for pecans = 3x
Cost for almonds = 5(x + 3) = 5x + 15
Price of pecans + price of almonds = total cost
Solve for x:
3x + 5(x + 3) = 55 (remove brackets)
3x + 5x + 15 = 55 (add like terms)
8x + 15 = 55
8x + 15 - 15 = 55 - 15 (get rid of the 15)
8x = 40
8x/8 = 40/8
x = 5
bags pecans cost is $5
bags of almonds is $5+$3 = $8
The equation to calculate the average rate of change is: y/x
y = f(x2) - f(x1)x = x2 - x1
x1: 1 (The smaller x value. It can be any number)x2: 2 (The larger x value. It also can be any number)f(x1): The value when you plug x1 into the function.f(x2): The value when you plug x2 into the function.
If we know this, the variables for this problem are assuming the function is 10(5.5)^x:
x2: 2x1: 1f(x2): 10(5.5)^(2) = 302.5f(x1): 10(5.5)^(1)= 55
This means:y = 302.5 - 55 = 247.5x = 2 - 1 = 1
Remember: the equation for avg rate of change is y/x
So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)
Answer:
3/4,
12/16,
18/24,
24/32
30/40
...So on, So on...
Step-by-step explanation:
Any fraction that you multiply by the same number on the bottom and on top.
So, multiply by two, what you do to the top do to the bottom. = 12/16
Multiply by three = 18/24
So on, so on.
Or you can reduce, 6/8 divide by 2 = 3/4.
I'm gonna give you 5 equivalent equations. I also taught you how to do it!
