0

# What is the perpendicular bisector equation of the line y equals 5x plus 10 spanning the parabola y equals x squared plus 4?

Updated: 12/16/2022

Wiki User

6y ago

If: y = 5x +10 and y = x^2 +4

Then: x^2 +4 = 5x +10

Transposing terms: x^2 -5x -6 = 0

Factorizing the above: (x-6)(X+1) = 0 meaning x = 6 or x = -1

Therefore by substitution endpoints of the line are at: (6, 40) and (-1, 5)

Midpoint of line: (2.5, 22.5)

Slope of line: 5

Perpendicular slope: -1/5

Perpendicular bisector equation: y-22.5 = -1/5(x-2.25) => 5y = -x+114.75

Perpendicular bisector equation in its general form: x+5y-114.75 = 0

Wiki User

6y ago

Wiki User

6y ago

It is x + 5y - 115 = 0

Earn +20 pts
Q: What is the perpendicular bisector equation of the line y equals 5x plus 10 spanning the parabola y equals x squared plus 4?
Submit
Still have questions?
Related questions

### What is the perpendicular bisector equation of the line y equals x plus 5 spanning the circle x2 plus 4x plus y2 -18y plus 59 equals 0?

Equation of line: y = x+5 Equation of circle: x^2 +4x +y^2 -18y +59 = 0 The line intersects the circle at: (-1, 4) and (3, 8) Midpoint of line (1, 6) Slope of line: 1 Perpendicular slope: -1 Perpendicular bisector equation: y-6 = -1(x-1) =&gt; y = -x+7 Perpendicular bisector equation in its general form: x+y-7 = 0

8

### What is the equation and its perpendicular bisector equation of the line spanning the points of 3 4 and 0 0 on the Cartesian plane showing work?

Points: (3, 4) and (0, 0)Slope: (4-0)/(3-0) = 4/3Equation: y-4 = 4/3(x-3) => 3y = 4xPerpendicular slope: -3/4Midpoint: (3+0)/2 and (4+0)/2 = (1.5, 2)Bisector equation: y-2 = -3/4(x-1.5) => 4y = -3x+12.5

### How can you find minimum spanning trees?

with minimum spanning tree algorthim

### What is spanning tree in data structure?

A spanning tree is a tree associated with a network. All the nodes of the graph appear on the tree once. A minimum spanning tree is a spanning tree organized so that the total edge weight between nodes is minimized.

### What is a good sentence using the word spanning?

The bridge was spanning the vast opening over the river.

### What are spanning diverse regions?

bridging different regions,in imperial pan regional there spanning of diverse regions

### Can dijkstra's algorithm produce a spanning tree?

yes, but a shortest path tree, not a minimum spanning tree

### How many spanning trees can be drawn with 5 labeled vertices?

No of spanning trees in a complete graph Kn is given by n^(n-2) so for 5 labelled vertices no of spanning trees 125

### What is the most basic architectural technique for spanning space?

Post and lintel is the most basic architectural technique for spanning space.

### What effect will the command spanning-tree link-type point-to-point have on a rapid spanning tree port?

The port will rapidly transition to forwarding.

### What is a characteristic of Spanning Tree Protocol?

A spanning tree protocol, or STP, is characteristic to a LAN. It provides a loop-free topology for networks within the system.