BRAINLIEST ASAP! PLEASE HELP ME :)

Suppose you are given a parabola with two points that have the same y-value, such as (-7, 11) and (3, 11). Explain how to find t

Hoochie [10]

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

#SPJ1

3 0

1 year ago

Consider the system:

Gnom [1K]

Answer:

Step-by-step explanation:

In this problem, we have the following linear equations:

y=3x+5

y=ax+b

We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.

1. What values for a and b make the system inconsistent?

A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:

a=3

for any value of b

2. What values for a and b make the system consistent and dependent?

A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:

a=3 and b=5