Line l is mapped onto line m by a dilation centered at the origin with a scale factor of 2 the equation of line l is 3x - y = 4 determine and state an equation for line m

3x - y = 8

Step-by-step explanation:

Since, if a line having points represented by (x,y) is dilated about origin with a scale factor k,

Then the coordinates of the dilated line is obtained by the rule,

Here, line L is,

3x - y = 4

The x-intercept and y-intercept of line L are (4/3,0) and (0,-4) respectively,

If the line L is mapped onto line M by a dilation centered at the origin with a scale factor of 2,

Then by the above definition,

The points of the line M are,

(2×4/3, 2×0) and (2×0, 2×-4) ⇒ (8/3,0) and (0,-8)

Hence, the equation of line M passes through the points (8/3,0) and (0,-8)

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5

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step-by-step explanation: