By using the midpoint formula and the equation of the line, the equation of the line of symmetry is x = - 2.
<h3>How to derive the equation of the axis of symmetry </h3>
In this question we know the locations of two points with the same y-value, which means that the axis of symmetry is parallel to the y-axis and that both points are equidistant. Thus, the axis of symmetry passes through the midpoint of the line segment whose ends are those points.
First, calculate the coordinates of the midpoint by the midpoint formula:
M(x, y) = 0.5 · (- 7, 11) + 0.5 · (3, 11)
M(x, y) = (- 2, 11)
Second, look for the first coordinate of the midpoint and derive the equation of the line associated with the axis of symmetry:
x = - 2
By using the midpoint formula and the equation of the line, the equation of the line of symmetry is x = - 2.
To learn more on axes of symmetry: brainly.com/question/11957987
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Answer:
Its 6 units away
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Since we have two points, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 5 - -1)/( 4 - -4)
= ( 5+1)/(4+4)
= 6/8
= 3/4
Answer:
266
Step-by-step explanation:
Answer:
neither even not odd
Step-by-step explanation:
A function is odd if and only if y=f(x) is the same as y=-f(-x). Also a function is said to be even if and only if y=f(x) is the same as y=f(-x).
given our function f(x)=4x^5+8x+2
-f(-x)=-(4(-x)^5+8(-x)+2)
=4x^5+8x-2
also,
f(-x)=4(-x)^5+8(-x)+2
=-4x^5-8x+2
from the above we see that f(x) ≠ -f(-x) and also f(x) ≠ f(-x). We therefore conclude that the function is neither even not odd
