Maths-
General
Easy
Question
Use the equations represented in the graph below to find the point of intersection
![](data:image/png;base64,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)
Hint:
Equate and find the point.
The correct answer is: (x, y) = (17,7)
Complete step by step solution:
Here the given equations are
y = 7…(i) …(ii)
On equating (i) and (ii),we get
On rearranging, we get
On squaring both the sides, we get
So the point of intersection is (x , y) = (17,7)
Related Questions to study
Maths-
Write a radical equation that relates a square’s perimeter to its area. Explain your reasoning. Use s to represent the side length of the square.
Write a radical equation that relates a square’s perimeter to its area. Explain your reasoning. Use s to represent the side length of the square.
Maths-General
Maths-
Explain how to identify an extraneous solution for an equation containing a radical expression
Explain how to identify an extraneous solution for an equation containing a radical expression
Maths-General
Maths-
Solve the equation ![square root of x plus 2 end root plus square root of 3 x plus 4 end root equals 2](data:image/png;base64,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)
Solve the equation ![square root of x plus 2 end root plus square root of 3 x plus 4 end root equals 2](data:image/png;base64,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)
Maths-General
Maths-
Solve the equation ![square root of 2 x minus 5 end root minus square root of x minus 3 end root equals 1](data:image/png;base64,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)
Solve the equation ![square root of 2 x minus 5 end root minus square root of x minus 3 end root equals 1](data:image/png;base64,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)
Maths-General
Maths-
Solve the equation ![left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4](data:image/png;base64,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)
Solve the equation ![left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4](data:image/png;base64,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)
Maths-General
Maths-
Simplify each expressions and state the domain : ![fraction numerator x cubed plus 4 x squared minus x minus 4 over denominator x squared plus 3 x minus 4 end fraction](data:image/png;base64,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)
Simplify each expressions and state the domain : ![fraction numerator x cubed plus 4 x squared minus x minus 4 over denominator x squared plus 3 x minus 4 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Express the rational expression in its lowest terms .
![fraction numerator x squared minus 2 x minus 3 over denominator 2 x squared minus 3 x minus 5 end fraction](data:image/png;base64,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)
A rational expression is a fractional form containing polynomials on the denominator and the numerator.
Express the rational expression in its lowest terms .
![fraction numerator x squared minus 2 x minus 3 over denominator 2 x squared minus 3 x minus 5 end fraction](data:image/png;base64,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)
Maths-General
A rational expression is a fractional form containing polynomials on the denominator and the numerator.
Maths-
When Multiplying
, is it necessary to make the restriction x ≠ 0 ? Why or Why not ?
When Multiplying
, is it necessary to make the restriction x ≠ 0 ? Why or Why not ?
Maths-General
Maths-
Identify the slope and y-intercept of the line: ![y equals 1 fourth x plus 5](data:image/png;base64,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)
Identify the slope and y-intercept of the line: ![y equals 1 fourth x plus 5](data:image/png;base64,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)
Maths-General
Maths-
Rewrite the equation
to isolate x.
Rewrite the equation
to isolate x.
Maths-General
Maths-
Find the product of the rational expression
![fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction](data:image/png;base64,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)
Find the product of the rational expression
![fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Explain how you can tell whether a rational expression is in simplest form?
Explain how you can tell whether a rational expression is in simplest form?
Maths-General
Maths-
Determine whether is sometimes
, always or never true . Justify your reasoning.
Determine whether is sometimes
, always or never true . Justify your reasoning.
Maths-General
Maths-
Identify the slope and y-intercept of the line: ![y equals negative 5 x minus 3 over 4](data:image/png;base64,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)
Identify the slope and y-intercept of the line: ![y equals negative 5 x minus 3 over 4](data:image/png;base64,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)
Maths-General
Maths-
Find the extraneous solution of ![square root of 8 x plus 9 end root equals x](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFwAAAATCAYAAAAd4WrhAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAlhJREFUeNrtmD9IHFEQxhcROeQKQSVIBEVSBAnXGEGJQQ4OsRAJcgEtRQuxEMsUBgIiioiC2qlYiAqiCaSIgXCEYCFKOC1EAkEsUqRIEQiii/jvG/iEZdm3u6f39s6wAz/ududx++a72ZnZNQz/FgXX/yF5a53gqxFaYLYJekMZgrEy8JefoQVgfeCDwlcMpsEJMMFn8DgP9twMtrinU7AOah6K4FK7kwrfAhgBhaAIjIGdHO+3BRyAelDAvfWAH+BRvotdDf6AiMJv2o4lwHNNe/E7VXxXZPNrMJ7vgr8Bcy7+E46MVsF/OazrYfbbbZi+bAp+oTgve0tr1CobMRp7oNXFL/V7wHLcCCYUa9O2W7obzGrI8CNQ53C+ivXc6xr3md19xxh1OPcM/GYNVFmMJUT4xvUvFWvlj5vk9wRIaSopUjqO2TgLSBvFONdcETxjfAIWGUyTzTcKplx+XDJmGVSwYRrMrCP+EU72hULsg1KN2dbMZm+SNcZ6aug31xiHKLjM2bs2n2TJc5cffq8QNu7yVDrILItpbJoqi/iYoLLxOsBXjP3gylJ/GsBPj3JiZuh7wXlYbrmuHAgeZwPTaRnFKLfbCr/PgHce6w95m9qtlrXcajKmfeSDUpSjW2nAgo9ofijLOMZ5cMasltn7qccFOih63NKc4qzhfZZ15eCT7eLSxJY0CZ7i3m77ioj8FrRrFPtOMZaAS7ABtjOYCG67v8lJ5ZXFX8Ra75RZqx4j510twR4i8/g/XiemUex7xbjFTBoMXyEFY/UUvDKUIjhLhhLosRtnn9HfzWHVewAAAIp0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXNxcnQ+PG1uPjg8L21uPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjk8L21uPjwvbXNxcnQ+PG1vPj08L21vPjxtaT54PC9taT48L21hdGg+PdrEoQAAAABJRU5ErkJggg==)
Find the extraneous solution of ![square root of 8 x plus 9 end root equals x](data:image/png;base64,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)
Maths-General