Solution for 5y+2y = -24
2 answers:
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The midpoint is (5, ¹/₂).
<h3>Further explanation</h3>The midpoint is the coordinates of a point right in the middle of a line segment or two endpoints.
The Midpoint Formula
So, abscissa and ordinate of the midpoint are the averages of both endpoints. i.e., (x₁, y₁) and (x₂, y₂).
Given (x₁, y₁) = (5, 4) and (x₂, y₂) = (5, -3).
Let's calculate the midpoint.
We get the midpoint between the two endpoints, that is, (5, ¹ / ₂).
<h3>Learn more</h3>- Finding a line that is not parallel to either the x-axis or the y-axis and passes through a point brainly.com/question/4691222
- Finding the equation, in slope-intercept form, of the line that is parallel to the given line and passes through a point brainly.com/question/1473992
- A line segment is a piece of a line with two endpoints brainly.com/question/909890
Keywords: the midpoint, the line segment, endpoints, in the middle, between, average, abscissa and ordinate, the coordinates
Step-by-step explanation:
To get the inverse, swap the x- and y-variables, then solve for y. We should have the equation:
Solving for y:
because
or
So on interchanging the variable, we get the equation:
Answer:
Step-by-step explanation:
We are given the equation of the line y=3x and a point, say Q(60,0) outside of that line.
We want to find the point on the line y=3x which is closest to Q.
Let P(x,y) be the desired point. Since it is on the line y=3x, it must satisfy the line.
If x=a, y=3a, so the point P has the coordinates (a,3a).
Distance between point Q and P
To minimize D, we find its derivative
Therefore, the y-coordinate for P is 3*6=18.
The point P=(6,18).
Next, we calculate the distance between P(6,18) and (60,0).