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kotegsom [21]
3 years ago
13

Find the coordinates of the image of point R(3, -5) rotated 180 degrees about the origin.

Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0
180 degrees means that the new x=-x and the new y=-y so
x=3 and y=-5 is orignal
new is -3 and 5

so new oint is

A(-3,5)
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Can somebody please help me with this problem please
Furkat [3]

Answer:

m = 3, n = 4

Step-by-step explanation:

Solve using the substitution process. First, start with the second equation:

2m + 2n = 14

Simplify. Divide 2 from all terms within the equation. What you do to one side, you do to the other:

(2m + 2n)/2 = (14)/2

m + n = 7

Isolate the variable m. Subtract n from both sides:

m + n (-n) = 7 (-n)

m = 7 - n

Plug in 7 - n for m in the first equation:

-5m + 9n = 21

-5(7 - n) + 9n = 21

Solve. First, distribute -5 to all terms within the parenthesis:

(-35 + 5n) + 9n = 21

Simplify. Combine like terms:

-35 + (5n + 9n) = 21

-35 + 14n = 21

Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 35 to both sides:

14n - 35 (+35) = 21 (+35)

14n = 21 + 35

14n = 56

Isolate the variable n. Divide 14 from both sides:

(14n)/14 = (56)/14

n = 56/14

n = 4

Plug in 4 to n in one of the equations, and solve for m.

2m + 2n = 14

2m + 2(4) = 14

2m + 8 = 14

Isolate the variable, m. Do the opposite of PEMDAS. First, subtract 8 from both sides:

2m + 8 (-8) = 14 (-8)

2m = 14 - 8

2m = 6

Divide 2 from both sides:

(2m)/2 = (6)/2

m = 6/2

m = 3

Your answers: m = 3, n = 4

~

6 0
3 years ago
Read 2 more answers
Solve the equation R-3=28/R R=
geniusboy [140]
<span>Remember that it's against our guidelines to copy content from other websites, books or any other material to which you don't own the rights to. We know you have the power to solve these problems on your own</span>
4 0
3 years ago
Write an expression equivalent to `b+b+b+b+b` that is a product of a coefficient and a variable.
mestny [16]

Answer:

b^5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
(4,7,12,19) How do you right this in recursive and explicit equations??????? pls help
Soloha48 [4]

You can see how the difference between two consecutive terms is constantly increasing:

a_1 = 4

a_2 = 7 = 4+3

a_3 = 12 = 7+5

a_4 = 19 = 12+7

So, for the next terms we'll have to add +9, +11, +13 and so on.

Also, note that a_2 is obtained by adding the 2nd odd number to a_1, a_3 is obtained by adding the 3rd odd number to a_2, and so on.

So, the recursive formula is

a_n = a_{n-1}+(2n-1),\quad a_1=1

For the explicit formula, recall that the sum of the first n odd numbers is n squared. Taking into account the fact that we're not starting from 1, we have

a_n = n^2+3

7 0
3 years ago
What number should be added to −5/11to get 26/33?
lesya [120]
41/33 should be added to -15/33 (which is the same number as -5/11 but converted to have same denominator).
So answer is 41/33
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2 years ago
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