Maths-
General
Easy

Question

Use the equations represented in the graph below to find the point of intersection

hintHint:

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)
    y equals 10 minus square root of x minus 8 end root …(ii)
    On equating (i) and (ii),we get
    10 minus square root of x minus 8 end root equals 7
    On rearranging, we get 10 minus 7 equals square root of x minus 8 end root
    On squaring both the sides, we get 3 squared equals x minus 8
    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 not stretchy rightwards double arrow x minus 8 equals 9 end cell row blank end table
    not stretchy rightwards double arrow x equals 17
    So the point of intersection is (x , y) = (17,7)

    Related Questions to study

    General
    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
    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
    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

    Solve the equation square root of x plus 2 end root plus square root of 3 x plus 4 end root equals 2

    Maths-General
    parallel
    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

    Solve the equation square root of 2 x minus 5 end root minus square root of x minus 3 end root equals 1

    Maths-General
    General
    Maths-

    Solve the equation left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4

    Solve the equation left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4

    Maths-General
    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

    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

    Maths-General
    parallel
    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

    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

    Maths-General

    A rational expression is a fractional form containing polynomials on the denominator and the numerator.

    General
    Maths-

    When Multiplying  15 over x cross times x over 3 equals 5, is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

    When Multiplying  15 over x cross times x over 3 equals 5, is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

    Maths-General
    General
    Maths-

    Identify the slope and y-intercept of the line: y equals 1 fourth x plus 5

    Identify the slope and y-intercept of the line: y equals 1 fourth x plus 5

    Maths-General
    parallel
    General
    Maths-

    Rewrite the equation y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root to isolate x.

    Rewrite the equation y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root to isolate x.

    Maths-General
    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

    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

    Maths-General
    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
    parallel
    General
    Maths-

    Determine whether is sometimes  fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6, always or never true . Justify your reasoning.

    Determine whether is sometimes  fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6, always or never true . Justify your reasoning.

    Maths-General
    General
    Maths-

    Identify the slope and y-intercept of the line: y equals negative 5 x minus 3 over 4

    Identify the slope and y-intercept of the line: y equals negative 5 x minus 3 over 4

    Maths-General
    General
    Maths-

    Find the extraneous solution of square root of 8 x plus 9 end root equals x
     

    Find the extraneous solution of square root of 8 x plus 9 end root equals x
     

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.