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Cartesian Plane, SMB-003 MC

The coordinates of point `A` are `(7, 5)`.
 

`AB` is parallel to the `y`-axis.

If  `AB = 3, BC = 4 and AC = 5`, what are the coordinates of point `C`?

  1. `(3,2)`
  2. `(2,3)`
  3. `(1,5)`
  4. `(5,1)`
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`A`

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`text(Coordinates of)\ C\ text(are):`

`(7-4, 5-3) = (3, 2)`

`=>A`

Cartesian Plane, SMB-002 MC

A Cartesian plane is shown.
 

Select the correct statement below.

  1. `O` is located where `x = 0` and `y < 0.`
  2. `P` is located where `x < 0` and `y < 0.`
  3. `Q` is located where `x = 0` and `y > 0.`
  4. `R` is located where `x < 0` and `y < 0.`
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`D`

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`R\ text(occurs when)`

`x < 0 and y < 0`

`=>D`

Functions, 2ADV F1 2018 HSC 3 MC

What is the `x`-intercept of the line  `x + 3y + 6 = 0`?

  1. `(-6, 0)`
  2. `(6, 0)`
  3. `(0, -2)`
  4. `(0, 2)`
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`A`

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`x text(-intercept occurs when)\ y = 0:`

`x + 0 + 6` `= 0`
`x` `= -6`

 
`:. x text{-intercept is}\  (-6, 0)`

`=>  A`