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Luba_88 [7]
3 years ago
6

Sumy is working in geometry class and is given figure ABCD in the coordinate plane to reflect. The coordinates of point D are (a

, b) and she reflects the figure over the line y = x. What are the coordinates of the image D'?
(a, –b)
(b, a)
(–a, b)
(–b, –a)
Mathematics
2 answers:
MAXImum [283]3 years ago
8 0

Answer:

The answer would be option B. (b, a)

Step-by-step explanation:

Just got it right on Edge. - hope this helps!

frutty [35]3 years ago
6 0

Answer:

(b , a)

Step-by-step explanation:

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1/8 represented in different ways
madam [21]
2/16, 3/24, 4/32 is that what your asking?
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3 years ago
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A circular mirror is surrounded by a square metal frame. The radius mirror is 6x the side length of the medal frame is 18x. What
wolverine [178]

Answer:

Step-by-step explanation:

Given:

Radius of circular mirror, r = 6x

Length of metal frame, l = 18x

Area of square, As = l^2

Area of square = 18x × 18x

= 324 x^2.

Area of circular mirror, Ac = pi × r^2

= π × (6x)^2

= 36π x^2.

The expression for the area of the frame is subtracting the mirror from the metal frame = As - Ac

= 324x^2 - 36πx^2

= 36x2 (9 - π).

4 0
3 years ago
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a carpenter worked for four days to finish a repair job she charged $825 for 15 hours plus $270 for materials what is the Carpen
kvv77 [185]
825 - 270
555 / 15
The carpenters rate is $37 a hour.
8 0
3 years ago
F(x) = x2 - 4x – 8,<br> Graph
Tema [17]

Answer:

-2x-8

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x = -4

or

( x - 2 )(x + 2 )

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6 0
3 years ago
You have two parents, four grandparents, eight greatgrandparents, and so forth.
Leviafan [203]
A.
In the first generation we have 2 ancestors.
In the second generation we have 4 ancestors or 2^{2} ancestors.
In the third generation we have 8 ancestors ot 2^{3} ancestors.

We can see that each succesive generation has two times more members. The sum is:
2+4+8+16+...+ 2^{40}

To calculate number of ancestors we can use formula <span>for the sum of a geometric sequence. Geometric sequence is sequence of numbers that differ by a certain factor. This factor is called ratio. Formula is:
</span>S= a_{1} * \frac{1- r^{n} }{1-r}
<span>Where:
S -> sum
a1 -> first member of a sequence
r -> ratio
n -> number of elements

For this question:
a1 = 2
r = 2
n = 40
</span>S= 2* \frac{1- 2^{40} }{1-2} =2 199 023 255 550
<span>
b.
1 generation = 25 years
40 generations = 40 * 25 = 1000 years

c.
Total number of people who have ever lived = </span>10^{10}
Number of ancestors in 40 generations = 2.2*10^{12}

The number of ancestors is greater than total number of people who have ever lived. This means that not all ancestors were distinct and that in each generation both men and women had children with more than one partner.
8 0
3 years ago
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