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3 years ago

15

Please anybody who could help me with this

1 answer:

Julli [10]3 years ago

7 0

Mrs Hamilton's commision
175000 x 0.04 (4%) = 7000
Mrs Hamilton received 4725
7000 x 0.01 = 70 (1%)
4725 / 70 = 67.5%
She received 67.5% of her total commission

David's Computer = C
Working
1080 x 0.8 (80%) =864
864 x 1.08 (108%) = 933.12
The computer cost $933.12 dollars

Suzanne's sweater = B
$40 / 100 = 0.4 (1%)
40 - 25 = 15 (difference)
15 / 0.4 = 37.5%
Suzanne received a discount of 37.5%

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On a coordinate plane, the segment with endpoints (10, 40) and (70, 120) is

OlgaM077 [116]

Answer:

The length of the resulting segment is 500.

Step-by-step explanation:

Vectorially speaking, the dilation is defined by following operation:

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

Where:

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

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

$k$ - Scale factor.

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

First, we proceed to determine the coordinates of the dilated segment:

( $P(x,y) = (10, 40)$ , $Q(x,y) = (70, 120)$ , $O(x,y) = (0,0)$ , $k = 5$ )

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

$P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]$

$P'(x,y) = (50,200)$

$Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]$

$Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]$

$Q'(x,y) = (350, 600)$

Then, the length of the resulting segment is determined by following Pythagorean identity:

$l_{P'Q'} = \sqrt{(350-50)^{2}+(600-200)^{2}}$

$l_{P'Q'} = 500$

The length of the resulting segment is 500.

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