Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.

Which statement accurately describes how to reflect point A(3,-1) over the y-axis?

Lyrx [107]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The rule of the reflection of a point over the y-axis is equal to

A(x,y) ----->A'(-x,y)

That means -----> The x-coordinate of the image is equal to the x-coordinate of the pre-image multiplied by -1 and the y-coordinate of both points (pre-image and image) is the same

so

A(3,-1) ------> A'(-3,-1)

The distance from A to the y-axis is equal to the distance from A' to the y-axis (is equidistant)

therefore

To reflect a point over the y-axis

Construct a line from A perpendicular to the y-axis, determine the distance from A to the y-axis along this perpendicular line, find a new point on the other side of the y-axis that is equidistant from the y-axis

6 0

2 years ago

Add 212+(−13) . Write your answer as a mixed number in simplest form.

nordsb [41]

The value of the given expression after addition is 199 and this can not written as a mixed number in the simplest form.

According to the question,

We have the following expression:

212+(-13)

Now, we know that the multiplication of one negative and one positive integers is always positive.

So, we have the following expression:

212-13

199

Now, this number is whole number and it can not be written as a mixed number. It could only have been written as a mixed number when the result would have been in a fraction.

Hence, the value of the given expression after addition is 199 and this can not written as a mixed number in the simplest form.

To know more about addition here

brainly.com/question/19867930

#SPJ1

7 0

6 months ago

Solve the system of equations:

Simora [160]

Answer:

x1=6 , x2=1

Step-by-step explanation:

If you have any questions about the way I solved it,don't hesitate to ask

8 0

2 years ago

Find the area of the shaded region.

lbvjy [14]

Answer:

$48\pi\\\approx 150.796$

Step-by-step explanation:

1.Approach

To solve this problem, find the area of the larger circle, and the area of the smaller circle. Then subtract the area of the smaller circle from the larger circle to find the area of the shaded region.

2.Find the area of the larger circle

The formula to find the area of a circle is the following,

$A=(\pi)(r^2)$

Where (r) is the radius, the distance from the center of the circle to the circumference, the outer edge of the circle. ( $\pi$ ) represents the numerical constant (3.1415...). One is given that the radius of (8), substitute this into the formula and solve for the area,

$A_l=(\pi)(r^2)\\A_l=(\pi)(8^2)\\A_l=(\pi)(64)$

3.Find the area of the smaller circle

To find the area of the smaller circle, one must use a very similar technique. One is given the diameter, the distance from one end to the opposite end of a circle. Divide this by two to find the radius of the circle.

8 ÷2 = 4

Radius = 4

Substitute into the formula,

$A_s=(\pi)(r^2)\\A_s=(\pi)(4^2)\\A_s=(\pi)(16)$

4.Find the area of the shaded region

Subtract the area of the smaller circle from the area of the larger circle.

$A_l-A_s\\=64\pi - 16\pi\\=48\pi$

$\approx150.796$

5 0

2 years ago

in a triangle TRY measure angle R is 3 times measure angle T and measure angle Y is 15 more than measure angle T find the measur

r-ruslan [8.4K]

Answer:

Angle R is 99 degree

Angle Y=48 degrees

Angle T is 33 degrees

Step-by-step explanation:

Let angle T be x

Angle R will be 3x

Angle Y will be x+15

Total=x+3x+x+15=5x+15

5x+15=180

5x=165

x=165/5=33

Therefore, angle T is 33 degrees, angle Y=15+33=48 degrees and angle R=33*3=99 degrees

5 0

2 years ago