Ask question

Ask question

All categories

3 years ago

9

The point (-4,1) is rotated 180 degrees counterclockwise using center (-3,0). What are the coordinates of the image?

2 answers:

IrinaVladis [17]3 years ago

4 0

I believe the answer is C also trying using the website desmos it helps a lot with graphing

Nadya [2.5K]3 years ago

3 0

Answer:

C. (-2, -1)

Step-by-step explanation:

It can help to plot the points.

For rotation 180 degrees, the center of rotation is the midpoint of the segment joining the given point and its image. That means you want to find the other end of a segment with one end (-4, 1) and midpoint (-3, 0).

For center of rotation O, this means ...

O = (A +A')/2

2O -A = A'

A' = 2(-3, 0) -(-4, 1) = (-6+4, 0 -1) = (-2, -1)

The coordinates of the image are (-2, -1).

You might be interested in

Use a graphing utility to graph the function and visually estimate the limits.

levacccp [35]

The value of the $\lim_{x \to 0} f(x)$ and $\lim_{x \to \frac{\pi }{3} } f(x)$ are 0 and 1.153 .

<h3></h3><h3>What is the limiting value of a function?</h3>

Limiting Value of a Function. The function's limit is the value of the function as its independent variable, such as x approaches a certain value called the limiting value. For simple equations, this is similar to finding out the value of y when x has a unique value.

Given that,

f(x) = $4x cos x$

First to calculate the limit value of the given function at x=0.

$\lim_{x \to 0} f(x)$ = $\lim_{x \to 0} 4x cosx$

= 4×0×1 (∵ cos0 = 1)

$\lim_{x \to 0} f(x)$ = 0

Similarly,

$\lim_{x \to \frac{\pi }{3} } f(x)$ = $\lim_{x \to \frac{\pi }{3} } 4x cosx$

= 4× $\frac{\pi }{3}$ ×cos $\frac{\pi }{3}$

= 4× $\frac{\pi }{3}$ × $\frac{1}{2}$ (∵cos60° = $\frac{1}{2}$ )

$\lim_{x \to \frac{\pi }{3} } f(x)$ = 1.153

Hence, The value of the $\lim_{x \to 0} f(x)$ and $\lim_{x \to \frac{\pi }{3} } f(x)$ are 0 and 1.153.

To learn more about the limit of the function from the given link:

brainly.com/question/23935467

#SPJ9

8 0

1 year ago

Help me out pleaseee

spayn [35]

Answer:

Option B is the correct choice.

Step-by-step explanation:

The graph is attached below.

We have to find the $x$ intercept meaning the value of the point on $x-axis$ when $y=0$

So we will put the value of zero $(0)$ instead of $y$ in our given equation.

So here we have solved it algebraically.

$y=\frac{3}{4}x-3$

Putting $y=0$

$0=\frac{3}{4}x-3$

$0=\frac{3x-12}{4}$

Multiplying $4$ both sides.

$0=3x-12$

Adding $12$ both sides.

$12=3x$

Dividing with $3$ both sides.

$x=\frac{12}{3}=4$

So the x-intercept of the given equation is $4$ which can be written as $(4,0)$ in terms of coordinates.

Option B $(4,0)$ is the correct choice.

8 0

3 years ago

Jose's Bikes rents bikes for $14 plus $3 per hour. Heather paid $38 to rent a bike. For how many hours did she rent the bike?

Nady [450]

Answer:

8 hours

Step-by-step explanation:

14 + 3x =38

-14 -14

--------------------

3x = 24

---- ----

3 3

--------------------

x = 8

4 0

3 years ago

Determine whether the slope line is positive or negative and then find the slope of each line?

goldenfox [79]

I he slope line is negative

5 0

3 years ago

The ratio of 6 hours and 48 minutes in simplest form is (I need this quickly)

julsineya [31]

The gcf of both 6 and 48 is 6. So, in simplest form, the ration would be: 1:6 or 1 hour:6 minutes :)

7 0

3 years ago