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3 years ago

Triangle ABC is rotated 180º using the origin as the center of rotation.

Mathematics

2 answers:

mash [69]3 years ago

7 0

Answer:

a. a reflection over the x-axis and then a reflection over the y-axis

Step-by-step explanation:

If you plot it on a graph (you can use Desmos), you can see the triangles and only a. a reflection over the x-axis and then a reflection over the y-axis makes sense.

andrew-mc [135]3 years ago

5 0

Answer:

thats c

Step-by-step explanation:

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20 points!!

ANEK [815]

See below for the proof of the equation $\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$

<h3>How to prove the equation?</h3>

The equation is given as:

$\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$

Take the LCM

$\frac{(ax + by)(x - y) -(ax - by)(x + y)}{(x + y)(x - y)}= 2(a - b)$

Expand

$\frac{ax^2 - axy + bxy - by^2 -ax^2 - axy + bxy + by^2}{(x + y)(x - y)}= 2(a - b)$

Evaluate the like terms

$\frac{-2axy + 2bxy }{(x + y)(x - y)}= 2(a - b)$

Rewrite as:

$\frac{-2axy + 2bxy }{x^2 - y^2}= 2(a - b)$

Factorize the numerator

$\frac{2(a - b)(x^2 - y^2)}{x^2 - y^2}= 2(a - b)$

Divide

2(a - b)= 2(a - b)

Both sides are equal

Hence, the equation $\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$ has been proved

Read more about equations at:

brainly.com/question/2972832

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5 0

1 year ago

What is p-6a+3-4+9p+14

____ [38]

10p-6a+13

Hope this helps :)

8 0

3 years ago

Researchers have concluded that a dry basin began to fill with water in 1880. the water level rose an average of 1.6 millimeters

docker41 [41]

Answer:

the domain is [0,129]
112 mm
1942

Step-by-step explanation:

1. The function is good for years 1880 to 2009, 0 to 129 years after 1880. Values of x can be anything in the domain [0, 129].

2. 1950 -1880 = 70. The year 1950 corresponds to x=70, so the function tells us the water level rose ...

f(70) = 1.6·70 = 112 . . . . . mm

3. We want to find x when f(x) = 100. That will be the solution to ...

100 = 1.6x

100/1.6 = x = 62.5

Then 62.5 years after 1880 is year 1942.5. The water level was 100 mm higher than in 1880 in the year 1942.

3 0

2 years ago

Subtract<br> (8+7i)-(-2-i)

Ulleksa [173]

Answer: 10+8i

Step-by-step explanation:

To subtract the expressions, you would first need to distribute the -1.

(8+7i)-(-2-i) [distribute -1]

8+7i+2+i [combine like terms]

10+8i

Now, we have the subtracted answer 10+8i.

8 0

3 years ago

What is an algebraic expression for the number of hours in "m" minutes

Nikolay [14]

M×4=8 Answer m=2 2×4=8

5 0

2 years ago

Read 2 more answers