Laura is designing a rectangular porch for her house. On her scale drawing, the vertices of the rectangle are (2, 7), (8, 7), an
d (2, 9). What are the coordinates of the fourth vertex?
2 answers:
Answer:
Coordinates of fourth vertex are (8,9)
Step-by-step explanation:
Given that Laura is designing a rectangular porch for her house. On her scale drawing, the vertices of the rectangle are (2, 7), (8, 7), and (2, 9).
we have to find the coordinates of the fourth vertex.
As diagonals of rectangle bisect each other and are congruent then the coordinates of E is the mid-point of AC as well as BD.
By mid-point formula if (a,b) and (c,d) are the coordinates of line segment then the coordinates of mid point are
Mid-point of AC= mid point of BD
Comparing both sides , we get
and
and
and
Hence, coordinates of fourth vertex are (8,9)
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Answer:
The correct options are:
Option B) is never zero.
Option F) When x=0, y≠0
Step-by-step explanation:
Consider the provided function.
When we substitute x=0 in above function we get:
When we substitute x=-1 in above function we get:
When we substitute x=1 in above function we get:
The above function is exponential function which does not pass through the origin and the range of the function is a positive number.
The graph of the function is shown in figure 1.
Now consider the provided options.
Option A) is always greater than or equal to 1.
The option is incorrect as the value of the function is less than 1 for negative value of x.
Option B) is never zero
The option is correct.
Option C) When y=0, x=0
The option is incorrect.
Option D) When x=0, y=4
When x=0 the value of y is 1.
Thus, the option is incorrect.
Option E) is zero when x=0
When x=0 the value of is 1.
Thus, the option is incorrect.
Option F) When x=0, y≠0
The option is correct as 0≠1.
