You must consider the three couples of points, before and after the dilation.
The bottom-left point was (3,3) and it becomes (4,5). The line connecting these two points is y = 2 x - 3
The bottom-right point was (6,3) and it becomes (10,5). The line connecting these two points is y = x/2
The top point points was (5,4) and it becomes (8,7). The line connecting these two points is y = x-1.
Those three lines meet at (2,1), and thus this is the center of dilation.
What is 18 percent of 90? = 16.2.
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Taylor and her children bought 4 bags of popcorn and 6 candies.
How to create linear equation using two variables?
If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Such an equation has a pair of numbers as its solution, one for x and one for y, which further equalizes the two sides of the equation. A specific point on the graph represents the solution of a linear equation in two variables, ax + by = c, where the total of these two values will equal c when the x-coordinate is multiplied by a and the y-coordinate by b. Basically, there are infinitely many solutions to a linear equation with two variables.
Let the number of bags of popcorn be = x
Let the number of candies be = y
Given, she bought $ 81 worth of bags of popcorn and candies.
Also, each bag of popcorn costs $9 and each candy costs $4.50.
Thus, the equation for the same is ⇒ 9x + 4.50y = 81 -- (i)
Again, she bought 6 more candies than bags of popcorn.
Thus, the equation for the same is ⇒ y = x + 6 --(ii)
Using (i) and (ii), we have,
9x + 4.50(x + 6) = 81 ⇒ 9x + 4.50x + 27 = 81 ⇒ 13.50x = 54 ⇒ x = 4
Using x = 4 and (ii), we get,
y = x + 6 = 4 + 6 = 10
Thus, (4, 10) is the point where the two equations meet.
Therefore, they bought 4 bags of popcorn and 6 candies.
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Answer:
1/4
Step-by-step explanation:
The formula is y2-y1 over x2-x1.
(Remember that or another problem like that)
(3, 4) (-5,2)
x1 y1 x2 y2
We would do: 2-4 over -5-3
2-4=-2
-5-3=-8
Your answer would be: -2/-8, which is simplified to 1/4 because when you divide two negative numbers, you get a positive.
Answer:
48 + 8x = 9
Step-by-step explanation:
4 + 
x = 
multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions
48 + 8x = 9
