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kherson [118]
3 years ago
8

Please help w steps! asap

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Answer:

(4,6)

Step-by-step explanation:

The midpoint=(\frac{5+3}{2} ,\frac{11+1}{2} )

                      =(4,6)

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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
The radius of a circle is 3<br> kilometers. What is the<br> circumference?
tino4ka555 [31]
The circumference is found by the multiplying the diameter by pi so 3+3=6 so 6*3.14=18.84 ANSWER IS 18.84
7 0
3 years ago
What is a number is less than 3000 and if divided by 32 the remainder is 30 and if divided by 58 the remainder is 44?
katovenus [111]
I think I know it. The number less than 3000 and if divided by 32 the remainder is 30 is 960.The number less than 3000 and if divided by 58 the remainder is 44 is 2552.
8 0
3 years ago
Wen takes a job with a starting salary of $100,000 for the first year. she earns a 3% increase each year. what does s5 represent
steposvetlana [31]
S_{n} = \frac{ a_{1}(1- r^{n})  }{1-r} a_{1} = 100000, r=1.03, n=5
S_{5} = \frac{100000(1- 1.03^{5}) }{1-1.03} = \frac{100000(-.159)}{-.03} =530,000

So after 5 years she is making $530,000.

Hope that helps
8 0
4 years ago
Read 2 more answers
Can someone please help ? :(
Anika [276]

Answer:

I'll list the answers as coordinates (just input the second number in each coordinate)

(-2, 11)

(0, 1)

(2, -9)

(4, -19)

Step-by-step explanation:

So you see how the x column is filled out? You plug in the numbers in each area and solve for y.

So we start off with -2. You take the x out and place -2 instead. Your equation should look like this:

y = -5 (-2) + 1

Next you multiply -5 and -2, giving you 10. Your equation would look like this now:

y = 10 + 1

Next you add 10 and 1 together, and you have your answer. Keep doing the same thing, but instead of -2 for x, use 0, 2, and 4.

Hope I helped! Have a nice day or night! ^-^

8 0
3 years ago
Read 2 more answers
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