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IrinaVladis [17]
3 years ago
15

Polygon ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to create A'B'C'D'. If the endpoints of

Line AB are located at (0,-7) and (8,8) what is the length of A'B'? Use the distance formula to help you decide.
Mathematics
1 answer:
Sonja [21]3 years ago
5 0
The distance formula is given by \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Take point A(0, -7) as (x₁, x₂) and point B(8, 8) as (y₁, y₂)

Distance AB = \sqrt{(8-0)^2+(8--7)^2}
Distance AB = \sqrt{8^2+15^2}
Distance AB = \sqrt{289}
Distance AB = 17

The line AB is dilated to A'B' by scale factor of 2, it means the length of the line is multiplied by 2

Distance A'B' = 2 × 17 = 34 units
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Answer:

Odd number: 13/25 (52%)

Multiples of 5: 5/25 (20%)

Step-by-step explanation:

There are 13 odd numbers between 1 and 25 so you have a 13/25 chance which is 52% (13/25 = 0.52). There are 5 multiples of 2 between 1 and 25 so you have a 5/25 chance which is 20% (5/25 = 0.2).

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Last month, Ebony had 72 dollars in a checking account. The current balance is 126 dollars. What is the percent change in the ac
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Answer:

43%

Step-by-step explanation:

Last month, 72.

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Last month, ebony had 72/126 in her account to what she has this month. 72/126 as a percentage.

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Ebony had approximately 57% of her cash in her account last month, compared to this month.

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3 years ago
(7x7x7x7x7x7x7)-3x-3x-3
Anna71 [15]

Answer:

823516

Step-by-step explanation:

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8 0
3 years ago
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snow_tiger [21]

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3 0
3 years ago
Question 21 on this pictured math sheet please. Have a great day!
Yuki888 [10]

Answer:

39

Step-by-step explanation:

f(x) = 2x - 1.....(1) \\ g(x) = 3x + 5....(2) \\ plug \: x = 5 \: in \: (2) \\ g(5) = 3 \times 5 + 5 = 15 + 5 = 20 \\  \therefore \: f(g(5)) = 2 \times 20 - 1 = 40 - 1 = 39 \\  \\   \huge \red{ \boxed{\therefore \: f(g(5)) =39}}

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2 years ago
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