Answer:
E’ is (11,-1)
Step-by-step explanation:
Here, we want to get the new coordinates of E
The translation is 4 units right ( add 4 to x-value) and 3 units down ( subtract 3 from y-value)
So for E, we have
(7 + 4, 2-3)
= (11, -1)
Answer:

Step-by-step explanation:
Given


Required
The equation of the function
The given parameters means that:


Calculate the slope (m)



The equation is then calculated using:

This gives:


Open bracket

Take LCM


Answer:
y = 5/7 x - 6
Step-by-step explanation:
For two lines to be perpendicular, the product of their slope must be -1
The slope of the given function is -7/5
Let the slope of the required function be m
m * -7/5 = -1
7/5 m = 1
7 = 5m
m = 5/7
The slope of the line perpendicular to the line is 5/7
The required equation (using any value of the y-intercept) is expressed as;
y = 5/7 x - 6
Note that the y-intercept value was assumed and any value can be used
Answer
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Answer:
−2 is a member of the domain of f.
f(0) > 0
Step-by-step explanation:
Statement 1 is TRUE. Domain value includes set of values of x of the function. -2 is plotted on the x-axis on the graph. Therefore, it is a member of domain of f.
Statement 2 is incorrect. Range includes all possible y-values of the function. On the graph, no y-value plotted is -2. Therefore, -2 is NOT a member of the range of f.
Statement 3 is TRUE.
f(0) is approximately 2.2 on the graph. i.e. at x = 0, y ≈ 2.2.
Therefore, f(0) > 0.
Statement 4 is INCORRECT.
f(2) = 1, that is at x = 2, y = 1 as seen in the graph. Therefore, f(2) is not greater than 2.