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3 years ago

Write the coordinates of the image of Q(-3,-6) reflected in the line y=x

Mathematics

1 answer:

Trava [24]3 years ago

3 0

Answer: (-6, -3)

Step-by-step explanation:

We have the point (-3, -6)

And we want to do a reflection over the line y = x.

When we do a reflection of the point (x, y) over the line y = x. the reflected point will be (y, x)

So if our original point is (-3, -6) then the reflected point is (-6, -3)

You might be interested in

Which expressions are polynomials? Select each correct answer.

lilavasa [31]

Here's an example

Simplify by collecting like terms: 4(x2y + 7y) – 5y(3x2 – y) – 10y

A) −11x2y + 5y2 + 18y

B) 4x2y + 11y – 8yx2 – 16y

C) 4x2y + 18y – 15yx2 + 5y2

D) 4x2y – 5y(3x2 – y) – 3y

A) −11x2y + 5y2 + 18y

Correct. 4(x2y + 7y) – 5y(3x2 – y) – 10y = 4x2y + 28y – 15yx2 + 5y2 – 10y = 4x2y + 18y – 15yx2 + 5y2 = −11x2y + 5y2 + 18y.

B) 4x2y + 11y – 8yx2 – 16y

Incorrect. The 4 is distributed to both terms in the parentheses by multiplying each term by 4 resulting in 28y, not 11y. The −5y is similarly distributed to each term in the parentheses, resulting in −15yx2 + 5y2. The correct answer is −11x2y + 5y2 + 18y.

C) 4x2y + 18y – 15yx2 + 5y2

Incorrect. This polynomial can be further simplified by combining the like terms 4x2y and −15yx2. The order of the variables in a term does not matter. The correct answer is

−11x2y + 5y2 + 18y.

D) 4x2y – 5y(3x2 – y) – 3y

Incorrect. Before combining like terms, you must distribute to clear the parentheses. The correct answer is −11x2y + 5y2 + 18y.

8 0

3 years ago

Annie is choosing an outfit for the day. She has a choice of three pairs of pants, two shirts, and three pairs of shoes. How man

vlada-n [284]

There are 3 choices for the pants. Having selected a pair of pants there are 2 choices for a shirt. Therefore there are 3 * 2 possible choices for a pair of pants and a shirt. Each of these 6 possible choices can be combined with each of the 3 possible choices of a pair of shoes. So, the total number of choices of outfit is given by:
$3\times2\times3=18\ choices$

7 0

3 years ago

7.5 4.2

Studentka2010 [4]

✡ Answer: x=6.72 ✡

- - Solve:

- - First step is to cross-multiply:
- $7.5*x=4.2*12$
- $7.5x=50.4$

- - The next step is to divide both sides by the number 7.5
- $\frac{7.5x}{7.5} = \frac{50.4}{7.5} 
$


- - x=6.72

✡Hope this helps✡

3 0

3 years ago

*I thought of a number, added 18, then multiplied the result by 8. I got 16. What was my number?

Arte-miy333 [17]

Answer:

-16

Step-by-step explanation:

Represent the number by n.

Then:

8(n + 18) = 16

Performing the indicated multiplication, we get:

8n + 144 = 16

Subtracting 144 from both sides results in 8n = -128.

Dividing both sides by 8: n = -128/8 = -16

The number was -16.

4 0

3 years ago

What value of b will cause the system to have an infinite

kvasek [131]

Hi there!

The way that an infinite number of solutions is achieved is when the two equations, when solved together, get an answer which is just a number equal to the same number. To do this, first substitute 6x-b in for y in the second equation.

$-3x+\frac{1}{2}(6x-b)=-3$

$-3x+3x-\frac{1}{2}b=-3$

$-\frac{1}{2}b=-3$

Now, we see that b needs to be equal to -3 when multiplied by -1/2. When both sides are divided by -1/2, b becomes equal to 6. Thus, b must be 6.

Check work:

$6x-6=y$

$-3x+\frac{1}{2}(6x-6)=-3$

$-3x+3x-3=-3$

$-3=-3$

Thus, as they are equal to each other, the answer is correct. b = 6.

Hope this helps!

8 0

3 years ago