Answer: The correct options are (A) 8 and (D) 7.
Step-by-step explanation: We are given to select the correct scale factors that produces an expansion under a dilation of the original image.
The SCALE FACTOR of a dilation is defined as follows:
The dilation will be an expansion is the scale factor is greater than 1 (> 1),
and it will be a reduction if the scale factor is less than 1 (< 1).
Option (A) is
Scale factor = 8.
Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.
Option (B) is
Scale factor = 0.7.
Since 0.7 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.
Option (C) is
Scale factor = 0.8.
Since 0.8 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.
Option (D) is
Scale factor = 7.
Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.
Thus, the correct options are (A) 8 and (D) 7.
Answer:
The equation of line for given points is y = - 40 x - 42
Step-by-step explanation:
Given two points as :
( -1 , - 2 ) and ( 3 , - 162 )
Now, Equation of line in points form
y - 
= m × ( x - 
)
Where m is the slope of line
And, m = 
or, m = 
or, m = 
∴ m = - 40
So, Slope of line for given points is - 40
Now equation of line can be written as
y - ( - 2 ) = ( - 40 ) × ( x - ( - 1 ) )
or, y + 2 = ( - 40 ) × ( x + 1 )
or, y + 2 = - 40 x - 40
or, y = - 40 x - 40 - 2
∴ y = - 40 x - 42
Hence the equation of line for given points is y = - 40 x - 42 Answer
Whenever you want to write the equation of a parallel line through some point (h, k), you can ...
- remove any added constant in the original given equation
- replace x with (x-h)
- replace y with (y-k)
- rearrange the resulting equation to the form required by the problem.
Using this formula here, we get
... 2(y +5) = 3(x -2)
Your answer form requires you solve this for y.
... 2y + 10 = 3x -6 . . . . . eliminate parentheses
... 2y = 3x -16 . . . . . . . . subtract the constant on the left (10)
... y = (3/2)x -8 . . . . . . divide by 2
Answer:A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Write and solve an equation to find the length of each side of the triangle.
The sides can be found by taking the square root of the area. , where = side. . So the length of a side is 6.3 cm.
Step-by-step explanation:
In 1980, there were 67 new productions on Broadway. In 1987, there were 31 new productions on Broadway. Find the average rate of change in the number of new productions.
