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:
x = - 
Step-by-step explanation:
Given
20x + 12 = 4x - 16 ( subtract 4x from both sides )
16x + 12 = - 16 ( subtract 12 from both sides )
16x = - 28 ( divide both sides by 16 )
x = 
= - [ = - 1.75 ]
Answer: 9$
Step-by-step explanation:
kyle has x dollars. Sean has x+8 dollars. They equal 26. 2x+8=26
2x=18
x=9
Answer:
9.3 inches
Step-by-step explanation:
The computation of the radius of the spinner be given below:
Let us assume the same be x
So
We know that
Total area of the sector = one-sixth of the total area of the spinner
Given that
45.1 = 1 ÷ 6 × π × r^2
r^2 = 45.1 × 6 ÷ π
r^2 = 86.1
r = 9.279
= 9.3 inches
X-9=12
x-9+9=12+9
You need to add 9 to each side of the equation.
x=21
