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: EP is 12 and EO is about 10.91.
To find the length of EP, we can use the Pythagorean Theorem with the 2 legs of the right triangle it would form, EC and CP. CP would be 5 because it is the midpoint of the side.
5^2 + (EP)^2 = 13^2
EP = 12
Now, to find EO, we write and solve another Pythagorean Theorem equation using 12 for EP.
5^2 + (EO)^2 = 12^2
EO equals the square root of 119 or about 10.91.
Answer: The input variable is the number of days since September 9th.. The unit for the input variable is single days.
When you are given an equation, there is an input and an output. In this case, you put in the number of days and the output is the distance between the lava and the road.
If you make a chart of the inputs and outputs, you will see that the lava is getting closer to the road.
Since in 1990 there are 28%, we need to figure out when it gets to 31%. In addition, since it increases by 0.6% every year, we can say that 0.6x+28 (since 28 is the base value) is the percentage of babies born in wedlock every year. Therefore, to get 0.6x+28=31, we subtract 28 from both sides to get 0.6x=3
Dividing both sides by 0.6, we get x=5=the amount of years it takes to get 31% of babies born in wedlock. Since 1990 is the base value (we start from there!), we add 5 to that to get 1990+5=1995 as the yar
My guess would be C but im not 100 sure
