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zhuklara [117]
3 years ago
14

2/3 divided by 2/5 answer

Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0

Answer:

3

Step-by-step explanation:

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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
Find the rate of change
Bezzdna [24]

Answer: 40 mi/h

Step-by-step explanation:

it goes up 80 and over 2, so the rate of change is 80/2 = 40 mi/h

8 0
2 years ago
Caroline drove 350 miles to her grandmother’s house. The trip took her 5 1/4 hours. What was her average speed in miles per hour
Shalnov [3]
64 hours per hour average
350 miles ÷5.25 hours in which it took= 63.63 rounded is 64 mph average
7 0
4 years ago
Read 2 more answers
Carla paid $129 plus 6% sales tax for a guitar. What
Nesterboy [21]

Answer:

136.74

Step-by-step explanation:

6 percent of $129 is $7.74

129 plus 7.74 = 136.74

4 0
3 years ago
1 Factor completely.
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1 Factor completely.

p2+7p+10 = (p + 5)(p + 2)



 2 Factor completely.

x2+10x+16 = (x + 4)(x + 6)


3 Factor completely.

x2+7x−18 = (x + 9)(x - 2)



 4 Factor completely.

x2−5x−24 = (x - 8)(x + 3)



 5 Factor completely.

x2−3x−40 = (x - 8)(x + 5)

6 0
3 years ago
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