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Andru [333]
3 years ago
11

Which of the following fractions is closest to 5/8 2/3 13/20 11/16

Mathematics
1 answer:
Elina [12.6K]3 years ago
3 0
The closest fraction to 5/8 is 11/16
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) Find the coordinates of the point A' which is the symmetric point
soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point  A(3, 2) with respect to the line 2x + y - 12 = 0.​

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

C( \dfrac{x+3}{2}, \dfrac{y+2}{2})

Also, product of slope will be -1 .( Since, they are parallel )

\dfrac{y-2}{x-3} \times -2  = -1\\\\2y - 4 = x - 3\\\\2y - x = 1

x = 2y - 1

So, C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})

Also, C satisfy given line :

2\times ( \dfrac{2y + 2}{2})  + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}

Also,

x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}

Therefore, the symmetric points isA'(\dfrac{31}{5}, \dfrac{18}{5}) .

7 0
3 years ago
Maxine has a poster of her favorite ascertaining in her bedroom. The poster is 2.5 feet tall and 1.3 feet wide.what is the area
Archy [21]

Answer:

3.25 ft

Step-by-step explanation:

A = bh

A = (2.5)(1.3)

A = 3.25

4 0
3 years ago
Read 2 more answers
If f(x)=3x-2,find f(8)-f(-5)
Alexandra [31]

To find both f(8) and f(-5), we will need to plug in their values for x and solve for each. Then, we can subtract them to find the final answer.

Finding f(8):

f(8) = 3(8) - 2

f(8) = 24 - 2

f(8) = 22

Finding f(-5):

f(-5) = 3(-5) - 2

f(-5) = -15 - 2

f(-5) = -17

Subtracting f(8) and f(-5):

f(8) - f(-5)

22 - - 17

22 + 17

39

Hope this helps!! :)

6 0
3 years ago
A basketball player's total points scored for the season went from 158 to 231 over a period of 5 games. What was his scoring rat
Len [333]

Answer:

14.6

Step-by-step explanation:

(231 - 158) / 5 = 14.6

6 0
3 years ago
(04.02) The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo: A graph is shown. The x-axis i
netineya [11]

Answer: The answer is three dollars

Step-by-step explanation: On the chart, if you go over 1 bag and go up you get 3.

5 0
3 years ago
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