verify associative property to addition of rational number (x+y) + z = x+ (y+ z)
1. x= 1/2 y=2/3 z= -1/5
Answers
Answer:
x= 1/2, y=2/3, z= -1/5
(x+y) + z = x+ (y+ z)
(x+y) + z =
(1/2+2/3)-1/5=
0.9666666667..... (1)
x+ (y+ z) =
1/2+(2/3-1/5)=
0.9666666667.....(2)
From equ. 1 and 2
we can say that
1=2
Therefore, according to the associative property to addition of rational number (x+y) + z = x+ (y+ z) is proved.
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Step-by-step explanation:
<!DOCTYPE html>
<html>
<head>
<title>Trophy</title>
</head>
<body>
<div class='wrapper'>
<div class='glow'></div>
<div class='mask'>
<div class='container'>
<div class='star'>✦</div>
<div class='main'></div>
<div class='stem1'></div>
<div class='stemCrease'></div>
<div class='stem2'></div>
<div class='base'></div>
<div class='arms'></div>
</div>
</div>
</div>
<style>
body {
background: black;
margin: none;
}
.wrapper {
margin: none;
background: black;
display: flex;
justify-content: center;
align-items: center;
}
.glow {
position: absolute;
width: 0px;
height: 0px;
background: transparent;
border-radius: 200px;
box-shadow: 0px 0px 400px 200px white;
animation: shadow 6s linear infinite;
}
.mask {
margin: none;
display: flex;
justify-content: center;
align-items: center;
width: 100%;
height: 100vh;
background: gainsboro;
animation-fill-mode: forwards;
z-index: 100;
animation: leftToRight 6s linear;
}
.container {
position: absolute;
top: 50px;
display: flex;
justify-content: center;
align-items: center;
animation: rotate 1s linear alternate infinite;
transform: rotate(-10deg);
}
.main {
height: 250px;
width: 200px;
background: gold;
border-bottom-left-radius: 100px;
border-bottom-right-radius: 100px;
}
.stem2 {
position: fixed;
top: 190px;
border-bottom: 100px solid gold;
border-left: 50px solid transparent;
border-right: 50px solid transparent;
height: 0px;
width: 40px;
border-bottom-left-radius: 200px;
border-bottom-right-radius: 200px;
transform: rotate(180deg);
}
.stem1 {
position: absolute;
top: 280px;
border-bottom: 100px solid gold;
border-left: 50px solid transparent;
border-right: 50px solid transparent;
height: 0;
width: 40px;
border-top-left-radius: 200px;
border-top-right-radius: 200px;
}
.base {
position: fixed;
width: 180px;
border-top-left-radius: 200px;
border-top-right-radius: 200px;
background: black;
height: 20px;
top: 380px;
}
.arms {
width: 300px;
height: 150px;
position: absolute;
background: transparent;
z-index: -1;
border: #ddba00 20px solid;
border-top-right-radius: 5px;
border-top-left-radius: 5px;
border-bottom-left-radius: 100px;
border-bottom-right-radius: 100px;
}
.stemCrease {
position: absolute;
width: 60px;
height: 15px;
border-radius: 10px;
background: #ddba00;
top: 280px;
z-index: 1;
}
.star {
position: absolute;
font-size: 100px;
color: white;
top: 0px;
left: 100px;
transform-origin: center;
animation: shimmer .4s alternate infinite linear;
}
@keyframes shimmer {
to{transform: rotate(20deg)}
}
@keyframes rotate {
to{transform: rotate(10deg)}
}
@keyframes leftToRight{
0% {clip-path: circle(150px at 0% 100%);}
20% {clip-path: circle(150px at 50% 15%);}
30% {clip-path: circle(150px at 100% 50%);}
40% {clip-path: circle(150px at 70% 100%);}
70% {clip-path: circle(150px at -100% -100%);}
80% {clip-path: circle(150px at -100% 200%);}
85% {clip-path: circle(150px at 50% 200%);}
90% {clip-path: circle(100% at 50% 80%);}
}
@keyframes shadow {
0% {
left: 0%;
top: 100%;
}
20% {
left: 50%;
top: 15%;
}
30% {
left: 100%;
top: 50%;
}
40% {
left: 70%;
top: 100%;
}
70% {
left: -100%;
top: -100%;
}
80% {
left: -100%;
top: 200%
}
85% {
left: 500%;
top: 200%;
}
95% {
left: 50%;
top: 80%;
}
}
</style>
</body>
</html>