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ser-zykov [4K]
3 years ago
9

A cab company charges $0.70 per cab ride, plus an additional $1 per mile driven. If a cab ride is 40.55 miles long, how much wil

l it cost?
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
4 0

Answer:

41.25

Step-by-step explanation:

0.70 + 1 (40.55) = 41.25

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Ax + By = C form of the given equation is –6x + y = –28.

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Given equation is y – 2 = 6(x – 5).

To write the equation in Ax + By = C format:

y – 2 = 6(x – 5)

y – 2 = 6x – 30

Add 2 on both sides of the equation.

y – 2 + 2 = 6x – 30 + 2

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Subtract 6x from both sides of the equation.

y – 6x = 6x – 28 – 6x

y – 6x = –28

Arrange the terms in the equation.

–6x + y = –28

This is in the form of Ax + By = C.

Here A = –6, B = 1 and C = –28.

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Dilate the the triangle, scale factor = 3 (positive 3, ignore the
HACTEHA [7]

Answer:

The rule of dilation is P'(x,y) = 3\cdot P(x,y).

The vertices of the dilated triangle are A'(x,y) = (-21, -18), B'(x,y) = (-15,-10) and C'(x,y) = (-3,-15), respectively.

Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)] (1)

Where:

O(x,y) - Center of dilation, dimensionless.

k - Scale factor, dimensionless.

P(x,y) - Original point, dimensionless.

P'(x,y) - Dilated point, dimensionless.

If we know that O(x,y) = (0,0), k = 3, A(x,y) = (-7,-6), B(x,y) = (-5,-2) and C(x,y) =(-1,-5), then dilated points of triangle ABC are, respectively:

A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)] (2)

A'(x,y) = (0,0) + 3\cdot [(-7,-6)-(0,0)]

A'(x,y) = (-21, -18)

B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)] (3)

B'(x,y) = (0,0) + 3\cdot [(-5,-2)-(0,0)]

B'(x,y) = (-15,-10)

C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)] (4)

C'(x,y) = (0,0) +3\cdot [(-1,-5)-(0,0)]

C'(x,y) = (-3,-15)

The rule of dilation is:

P'(x,y) = 3\cdot P(x,y) (5)

The vertices of the dilated triangle are A'(x,y) = (-21, -18), B'(x,y) = (-15,-10) and C'(x,y) = (-3,-15), respectively.

7 0
3 years ago
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