The lengths of the segments can be calculated using:
d = √[(y₂-y₁)² + (x₂-x₁)]²
First, we calculate the length of AB using this formula:
L(AB) = 10
Then, we calculate the length of A'B':
L(A'B') = 3
Therefore, the scale factor is: L(A'B') / L(AB) = 3/10
Answer:
12.75
Step-by-step explanation:
you divide
I like burgers but not meat I like fish burgers what about you
Answer:
Step-by-step explanation:
We know that
- A fraction consists of two integers—one on the top, and one on the bottom.
- The top one is numerator, the bottom one is denominator, and
- These two numbers are separated by a line.
Let us consider two different fractions with different denominators
Lets subtract the two fractions
so
Therefore,
With the given information, we can create several equations:
120 = 12x + 2y
150 = 10x + 10y
With x being the number of rose bushes, and y being the number of gardenias.
To find the values of the variables, we can use two methods: Substitution or Elimination
For this case, let us use elimination. To begin, let's be clear that we are going to be adding these equations together. Therefore, in order to get the value of one variable, we must cancel one of them out - it could be x or y, it doesn't matter which one you decide to cancel out. Let's cancel the x out:
We first need to multiply the equations by numbers that would cause the x's to cancel out - and this can be done as follows:
-10(120 = 12x + 2y)
12(150 = 10x + 10y) => Notice how one of these is negative
Multiply out:
-1200 = -120x - 20y
+ 1800 = 120x + 120y => Add these two equations together
---------------------------------
600 = 100y
Now we can solve for y:
y = 6
With this value of y known, we can then pick an equation from the beginning of the question, and plug y in to solve for x:
120 = 12x + 2y => 120 = 12x + 2(6)
Now we can solve for x:
120 = 12x + 12 => 108 = 12x
x = 9
So now we know that x = 9, and y = 6.
With rose bushes being x, we now know that the cost of 1 rose bush is $9.
With gardenias being y, we now know that the cost of 1 gardenia is $6.
