Maths-
General
Easy
Question
what is the value of ![left parenthesis u minus t right parenthesis open parentheses u squared minus t squared close parentheses ?](data:image/png;base64,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)
Hint:
Hint:
- For solving linear equation in two variable we can use elimination method.
The correct answer is: 20
- Explanation:
- We have given two linear equation .
![table attributes columnalign right columnspacing 1em end attributes row cell u plus t equals 5 end cell row cell u minus t equals 2 end cell end table](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEYAAAAkCAYAAAA0EkzVAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAdpJREFUeNrtmTFLA0EQhQ8JIpLGQiwsBEkhYiciwV5ELCRgIRYWtmJhk0ryFyzsRCSFTRCxELETixR2YiWCpaSzsJAgQnxDpohnoje7O/ES54NX3MDN7M3d7nL7ouh/0PhBqScHVRUbk7o3lZQCdNILjSlBRUHcZ0Cl2OddTHNjKtCqIO47oCR5Gwmk3phHaFwQ9x3QAzShOJXeoVfoEtqFsi6JBqA3Qdz3jf6WNxQZaBba4xcxJU0wD10L4r5fDOW98dx2pdvvYsKaX1iHjtvENzvEfRtD9cp/sGvWpTfsQzux2BxUg7YUGkP1trvclBnoyWWrLvPcH+XrA+gMWlZoDOU+UmwCjTvPz0Na4qYUpIlGoCteyWkernD8BRpSGPg09MyNHFTIv8a76Qc/Q4VngGEYhmEYhmEYhmF8YwE6jZpHm/RjfAdt9MrgNX0lOiGgw7Bsy998lWOpR9NXagcdvN+73BjCV5LU0vSVOlF3uSmErxSiXishD8PzrlM3hK8kQdNXikOnkLe8KIvoV1+JoGPb86hpn4gJ5StJ6nXDV5rkpuRcBxrKV5LU0/aVyHU8hIZ9koTylST1NH2lMV7cMyG2zxC+UlK0faWLyMGn7rRA9ZOvJF6TPgEwBLXQCMAlGwAAAQ90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXRhYmxlIGNvbHVtbmFsaWduPSJyaWdodCIgY29sdW1uc3BhY2luZz0iMWVtIj48bXRyPjxtdGQ+PG1pPnU8L21pPjxtbz4rPC9tbz48bWk+dDwvbWk+PG1vPj08L21vPjxtbj41PC9tbj48L210ZD48L210cj48bXRyPjxtdGQ+PG1pPnU8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1pPnQ8L21pPjxtbz49PC9tbz48bW4+MjwvbW4+PC9tdGQ+PC9tdHI+PC9tdGFibGU+PC9tYXRoPr3IAnMAAAAASUVORK5CYII=)
- We have to find the value of .
![left parenthesis u minus t right parenthesis open parentheses u squared minus t squared close parentheses](data:image/png;base64,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)
Step 1 of 2:
The given equation is .![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell u plus t equals 5 end cell row cell u minus t equals 2 end cell end table text . end text](data:image/png;base64,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)
Add both the equation
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2 u equals 7 end cell row cell u equals 3.5 end cell end table](data:image/png;base64,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)
Now put this value in![u plus t equals 5](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD4AAAANCAYAAADxL91HAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAQpJREFUeNpjYBie4D8ePOBABYiP0tDjdA9pYkEQEC8dDB6vB+JyEsQpsbAeLfmVD6THVwFxAAnilFpIjLn/icAUe/wWEEuTIE6phTeAWJ6GSf0XEH8C4m1AXATEPNgUMgHxNxLEKY0RQuZSC7AAsTEQ10IDWgNdgTkQ78eiEZc4pTEOMvcghdUSqdWTGzY7I4F4PhbF8TjEKfU4yL6FA1CF/kAXmADEeWhipkD8HIiTaeBxkH05dPa0DhDfxVa9LITmPVEofwoQrwNiLxp4HGT2XBp6EuRuS6h/QNgD6ukgdIWCQLwDWhKC8oEPVPwdEHPQwGFaQPwUGlBsNDA/FFob/YH6YRU0BY8CABsbYRjzXg4jAAAAcXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT51PC9taT48bW8+KzwvbW8+PG1pPnQ8L21pPjxtbz49PC9tbz48bW4+NTwvbW4+PC9tYXRoPl98fu4AAAAASUVORK5CYII=)
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 3.5 plus t equals 5 end cell row cell t equals 1.5 end cell end table](data:image/png;base64,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)
Step 2 of 2:
Now we will find the value of![left parenthesis u minus t right parenthesis open parentheses u squared minus t squared close parentheses](data:image/png;base64,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)
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell left parenthesis 3.5 minus 1.5 right parenthesis open parentheses 3.5 squared minus 1.5 squared close parentheses end cell row cell 2 cross times 10 end cell end table](data:image/png;base64,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)
Final answer:
The value of is .
.
- We have given two linear equation .
- We have to find the value of .
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![stack pi with _ below left parenthesis 3.1415926535897932384626433832795 right parenthesis with _ below](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVoAAAAZCAYAAABw6uYAAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAABjNJREFUeNrtXFGEXVcUvcYzRkSpqlFRwxhRo55hjKoRMURURcUwKvJRFUY8UdWffvWrhoh+VESJqoioUDEqKkLFGKNiqFFVUWX0o6r6048Y9Yzh9RxvXe4c59679jn7zSh7sT/edd6+56y9ztnn7HvfK4p89JxdLwwGg8FQYD3saTrsOntqvBoMBsMh/ID1Uc3ZXOXzkrNHzv511nf2m7PPnb1E+Drt7BNnP5H3vuBskOFv0GAhzjrbwpj82B44mw7aLOL6c2f7uO/lhv4tOPsG7b3fh7iPtH8s55LxnnB209kefD52diqRl4Hg3ow/drxsPCSaZXmR6LRNB9q6YvvH8qLNn3Z8tfXH+pqHr2zMYaGtYsPZsrPxoN1jwt89Z6stoixx0tmzlrZt/gbkOM87+wUCHnPWcXbF2a/OJivtNp1dQt88ZsHPpYjPVUyA0/j8AkSyldA/lvOBILZfOVvDWMdxFNpO5KUOK86+TPDHjpeNh0SzDC8SnTI60NYV2z+WF23+tOOrrT/JPNrCgpuFG86ukW2fC/wyA7kNEgYZ/ljCfoxktTJQN1q+O+Xs5+DaLHxq8CDhXOKvH3wew65Bi5dJiHBCyR+rsVg8JP4YXlidsjrQ1lXqPJLOZQ3+RhXfHP1JuPqgqHl+1cOWuWl7/DHa+gxzhrjZNLKC1kLrjwxPBIPOXWgPaq57kewkLFq3yaybs9DGOJf426vsFMqx/qHIy8Og5JTrT6KxfoZmGV5YnbI60NZV6jyS8KzB3yjjm6M/yTx6s8LxIdx19ipqExcr1x+glhNmmPGWrPE+aixvKy2048hYU0e40O7WbP+nkJTaiA7LK14wr4xooW3iXOLvJrJxdRyfKfFytRjWzjV4lmosFg+JP4YXVqesDrR1lTKPWJ61+BtVfDX0J5lH42078V0suCV+j9TdDhoWiKp9KBRR00CuB+WK3IV2H0T44vtHQbatHh38+M8iu40h6ey0HHsmUH9ajGRcX0NbRwD3cWy5nNg/lnOJvy7a7qMW9lfk9JLCyxQ46WTynKKxunhI/DG8sDpldaCtK8k8YnnR5k87vpr6k8yjommN6AQreAdbfvZIXeJF7Iq3i+annuzC2I1kq0Hmwl2Obx5Zzu8KXou08f3fgJi9+ae6Mw07LT/2b4thgT3Wnx1k6A4Cuois3Uvsn4TzNn9ejF9jd1SeWOaRfLuZvPjJtdTQ/xSeGY01xYP1x/LC6lSqAy1dpcwjCc+5/I0yvpr6Y+flftP2e4OoM7SVDkqcLJqfzLIL4zYGrb3QVnEewWAwUTOuaQR9puZ7nrfYK0G+ZvSnUv9YzmP+1muEvxToQsrLCnYAUkwQY2kab1s8WH8sL6xOpTrQ0lXqPJLoKoe/UcV3lPqrm5eNpQNfUL9T+fwuarchvm/ZpofHmtyFVvI+XE6tk+2rF8inwTWf1fwrIycavvcIuw1R9kvoX2q7fqbPGC9jyPpzCUKP+WP7xsRDmxdWpxIdaOoqdR4dt65y4ntc+qt9GObxRTEsQJfwN7kVace+3tXF8UWjRpvSVuLvdRxlGKwFO4hJHDU6Ld/rIXnFRLOt1D+W85i/ZzW7g1nU1KS8FDj+bRZpWCvafxQQGy8bD9ZfDi+DDB0cha4GGbwcBX+58R21/urm5bWi4dXE3WDlX8PudSbIHLEfLGxii17WiHw28AXm92p2p8e50K4j45SF77cw9uWg3ZPi8AvUp1CXeSdo913RXD+tHic8T1cqInmjGD4FPpfQP5Zz1t8yJsVSpe0S2l5N4MXjfpC8Y2D9seNl48H6Y3lhNcjqQFtXbP9YXrT5046vtv7YeeRR+4MFv/KH7ywuoM5wL9L+aVB3OQMCymKyr71caCgDtJUGchbaNn8ryJL+od4/yI4LET/nMI4D8HC/ptYkOY69jCPPHvxuFvGn+kz/WM5Zf2Xb8mlrH/27mMiLx9/F8IFFE1h/Uo21xYP1x/Ii0SmjA21dsf1jedHmTzu+2vpj55HaT3DLLb39qYzBYDAchuqfyhTY9tvfJBoMBsMQvi67ajQYDAaDwWAwGAwGg8FgyEA/MIPBYDAYDAaDwWAwGAwGg8FgMBgMBoPBYDCMGPag1vC/xH+OFG7L9hUliwAAAPh0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXVuZGVyIGFjY2VudHVuZGVyPSJmYWxzZSI+PG1yb3c+PG11bmRlciBhY2NlbnR1bmRlcj0iZmFsc2UiPjxtaT4mI3gzQzA7PC9taT48bW8+XzwvbW8+PC9tdW5kZXI+PG1vPig8L21vPjxtbj4zLjE0MTU5MjY1MzU4OTc5MzIzODQ2MjY0MzM4MzI3OTU8L21uPjxtbz4pPC9tbz48L21yb3c+PG1vPl88L21vPjwvbXVuZGVyPjwvbWF0aD6g1QjOAAAAAElFTkSuQmCC)
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Maths-General
Maths-
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2 x plus 3 y equals 1200 end cell row cell 3 x plus 2 y equals 1300 end cell end table](data:image/png;base64,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)
Based on the system of equations above, what is the value of 5x 5y?
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2 x plus 3 y equals 1200 end cell row cell 3 x plus 2 y equals 1300 end cell end table](data:image/png;base64,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)
Based on the system of equations above, what is the value of 5x 5y?
Maths-General
Maths-
A helicopter, initially hovering 40 feet above the ground, begins to gain altitude at a rate of 21 feet per second. Which of the following functions represents the helicopter's altitude above the ground y , in feet, t seconds after the helicopter begins to gain altitude?
A helicopter, initially hovering 40 feet above the ground, begins to gain altitude at a rate of 21 feet per second. Which of the following functions represents the helicopter's altitude above the ground y , in feet, t seconds after the helicopter begins to gain altitude?
Maths-General
Maths-
Juan purchased an antique that had a value of
at the time of purchase. Each year, the value of the antique is estimated to increase
over its value the previous year. The estimated value of the antique, in dollars, 2 years after purchase can be represented by the expression 200a,where a is a constant what is the value of a?
Juan purchased an antique that had a value of
at the time of purchase. Each year, the value of the antique is estimated to increase
over its value the previous year. The estimated value of the antique, in dollars, 2 years after purchase can be represented by the expression 200a,where a is a constant what is the value of a?
Maths-General
Maths-
![vertical line 2 x plus 1 vertical line equals 5](data:image/png;base64,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)
If and are the solutions to the equation above, what is the value of.
![vertical line 2 x plus 1 vertical line equals 5](data:image/png;base64,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)
If and are the solutions to the equation above, what is the value of.
Maths-General
Maths-
![T equals 5 c plus 12 f](data:image/png;base64,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)
A manufacturer shipped units of a certain product to two locations. The equation above shows the total shipping cost T , in dollars, for shipping c units to the closer location and shipping units to the farther location. If the total shipping cost was
000 and 3000 units were shipped to the farther location, how many units were shipped to the closer location?
![T equals 5 c plus 12 f](data:image/png;base64,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)
A manufacturer shipped units of a certain product to two locations. The equation above shows the total shipping cost T , in dollars, for shipping c units to the closer location and shipping units to the farther location. If the total shipping cost was
000 and 3000 units were shipped to the farther location, how many units were shipped to the closer location?
Maths-General
Maths-
-3x + y = 6
ax + 2y = 4
In the system of equations above, a is a constant. For which of the following values of a does the system have no solution?
-3x + y = 6
ax + 2y = 4
In the system of equations above, a is a constant. For which of the following values of a does the system have no solution?
Maths-General
Maths-
![square root of 4 x end root equals x minus 3](data:image/png;base64,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)
What are all values of that satisfy the given equation?
I. 1
II. 9
![square root of 4 x end root equals x minus 3](data:image/png;base64,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)
What are all values of that satisfy the given equation?
I. 1
II. 9
Maths-General
Maths-
In the xy -plane, the graph of the function f(x)=
has two x -intercepts. What is the distance between the x-intercepts?
In the xy -plane, the graph of the function f(x)=
has two x -intercepts. What is the distance between the x-intercepts?
Maths-General
Maths-
𝑊ℎ𝑎𝑡 𝑖𝑠 𝑡ℎ𝑒 𝑠𝑢𝑚 𝑜𝑓 𝑡ℎ𝑒 𝑔𝑟𝑒𝑎𝑡𝑒𝑠𝑡 𝑎𝑛𝑑 𝑡ℎ𝑒 𝑙𝑒a𝑠𝑡 𝑛𝑢𝑚𝑏𝑒𝑟𝑠 𝑜𝑓
and ![11 over 9](data:image/png;base64,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)
𝑊ℎ𝑎𝑡 𝑖𝑠 𝑡ℎ𝑒 𝑠𝑢𝑚 𝑜𝑓 𝑡ℎ𝑒 𝑔𝑟𝑒𝑎𝑡𝑒𝑠𝑡 𝑎𝑛𝑑 𝑡ℎ𝑒 𝑙𝑒a𝑠𝑡 𝑛𝑢𝑚𝑏𝑒𝑟𝑠 𝑜𝑓
and ![11 over 9](data:image/png;base64,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)
Maths-General
Maths-
Which of the following sets of rational numbers is arranged in ascending order :
Which of the following sets of rational numbers is arranged in ascending order :
Maths-General
Maths-
In a rational number, the denominator exceeds the numerator by 4. If the numerator and denominator are both increased by 9, the rational number becomes
Find the original rational number
In a rational number, the denominator exceeds the numerator by 4. If the numerator and denominator are both increased by 9, the rational number becomes
Find the original rational number
Maths-General