All categories

3 years ago

Point P(2, 3) is reflected across the y-axis to create point P'. Determine the quadrant of the image.

Mathematics

2 answers:

Gnoma [55]3 years ago

7 0

The reflection of P(2, 3) across the y-axis has the coordinate P'(-2,3)

& it is located in the 2nd quadrant

Anarel [89]3 years ago

4 0

Answer:

2nd quadrant.

Step-by-step explanation:

The given point is P(2,3). This is in 1st quadrant.

Now, this point is reflected across the y-axis.

When we reflect this point p about the y-axis then the y -coordinate remains same but the x- coordinate will be the negative of previous one.

Therefore, the coordinate of the point after reflection is P'(-2,3)

Here x coordinate is negative and y coordinate is positive.

Hence, the point P'(-2,3) is in 2nd quadrant.

You might be interested in

Casey paid $32 for a book that was on a sale at 20% off. What was the original price for that book?

Elis [28]

Answer:

$40

Step-by-step explanation:

If it was 20% off, you are paying 80% of the original price.

So .80 * Original price = $32

32/.8 = 40

8 0

3 years ago

Read 2 more answers

Given that f(x) = 19x2 + 152, solve the equation f(x) = 0

telo118 [61]

Option A

The solution is:

$x = \pm 2i \sqrt{2}$

Solution:

$f(x) = 19x^2+152$

We have to solve the equation f(x) = 0

Let f(x) = 0

$0=19x^2+152$

Solve the above equation

$19x^2 + 152 = 0$

$\mathrm{Subtract\:}152\mathrm{\:from\:both\:sides}\\\\19x^2+152-152=0-152\\\\Simplify\ the\ above\ equation\\\\19x^2 = -152\\\\\mathrm{Divide\:both\:sides\:by\:}19\\\\\frac{19x^2}{19} = \frac{-152}{19}\\\\x^2 = -8$

Take square root on both sides

$x = \pm \sqrt{-8}\\\\x = \pm \sqrt{-1}\sqrt{8}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\x = \pm i\sqrt{8}\\\\x = \pm i \sqrt{2 \times 2 \times 2}\\\\x = \pm 2i\sqrt{2}$

Thus the solution is found

5 0

2 years ago

If prices increase at a monthly rate of 1.2%, by what percentage do they increase in a year?

bazaltina [42]

1.2% x 12 months (1 year) = 14.4%

6 0

3 years ago

Use the information given to enter an equation in standard form.

Marysya12 [62]

Answer:

The equation in the standard form of the line through the given points is;

y = 3x - 17

Step-by-step explanation:

We start by getting the slope of the line;

m = (y2-y1)/(x2-x1)

m = (7-10)/(8-9) = -3/-1 = 3

The stands equation form is;

y = mx + b

m is slope, b is the y-intercept

so we have

y = 3x + b

To get b, we substitute the coordinates of any of the points

10 = 3(9) + b

10 = 27 + b

b = 10-27

b = -17

So the equation is;

y = 3x - 17

7 0

2 years ago

Leo and Maggie volunteer at the local bird sanctuary. Volunteers carry walkie-talkies. Leo notices that his walkie-talkie’s batt

Fiesta28 [93]

12 * 20% = 12 * 0.20 = 2.4 hours

It will not last his entire shift.

5 0

3 years ago