Problem

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01:48

Problem 29 Medium Difficulty

Find the coordinates of each rivet, weld, and anchor.
(FIGURE CANNOT COPY)

Answer

Rivets: (-60,0),(-20,0),(20,0),(60,0)$;$ welds: (-40,30),(0,30),(40,30)$;$ anchors: (-60,-30),(60,-30)

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Algebra

Elementary and Intermediate Algebra

Chapter 3

Graphing Linear Equations and Inequalities in Two Variables; Functions

Section 1

Graphing Using the Rectangular Coordinate System

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Video Transcript

right. So your book has a diagram of this Ah structure. And it has labeled all three welds, which I've labeled on a grid as all these red dots on the top on dive indicated that they're different W's or points because they're not the same value. So they each need their own letter representation or variable representation. So I've just indicated with the sub script that they're different. Ah, Then you have along the X axis all the rivets which we're gonna have to find the coordinates for those air in blue. And then we have the anchors which are holding the structure down, and those air a one and a two in green. So we're gonna go ahead and find all these coordinates. I'm gonna start just with my double use, and I'll start with W one World one. So I've plotted them. What I basically did was I took the diagram and plotted it on a grid without all the drawing stuff, so we could really look at it. So of course, we always started the origin, and you can see that w one is negative, 40 over, and then it goes up 10 2030. So W one. Is that negative? 40 30? No, W two. Is that the same high? So we actually already know the Y value, which is 30 then we want to look at the X value just so we can have its distinct point. So that coordinate is at zero because it just goes straight up. So we have 0 30 And then, since this thing is pretty balanced around the X and y axis, we happen to know w three either by looking at it and you could see its at 40 here, or you can just know that it is exactly the same. Distance from the Xs are from the y axis. Excuse me. So we know that it is 40 over and again, the same height as the other world. So 40 30. Okay, next, let's move on to our rivets. So again, this is balanced around the y axis. So all the points they're gonna happen on the left are gonna be mirrored on the right. So let's start with our one. We see it is right smack on the X axis that negative 60. And because it's an X intercept, we know why will be zero same will be true for all of these, actually. So I'll just go ahead and put zero in there. They're all ex intercept, so they're all gonna have the Y value of zero. So let's look at our two. We see that it is exactly at negative 20. So this is negative 20 0 and then it's mirror is gonna happen as well, which is 20 0 for our three. And then our four is a mirror of our one. So that will be over at 60 0 And last but not least, we want to look at the anchors, so we will look at a one which is mirrored. It's a mirror of a too. So we see that it is directly below are one here. So we know it's already at negative 60 for the X value, and it happens to be down from the origin to negative 30. So this is negative. 60 negative 30 and again, we have mirrors going on here. So a two is just the reflection over the y axis. So instead of negative, 60 will have positive 60 and it's the same height as anger one. So that will be 30

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