What is the image of the point
(
1
,

4
)
(1,−4) after a rotation of
18
0

180

counterclockwise about the origin?

Answers

Answer 1

Answer:

The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)

Step-by-step explanation:

Rotation means that a point is being moved in clockwise or counterclockwise direction with some angle.

The rotation can be done in 90, 180, 270 degrees.

Given point is:

(1,-4)

When a point (x,y) is rotated 180° counter clockwise its coordinates become (-x,-y) the negative of original point.

So for the given point the coordinates will become (-1,4)

Hence,

The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)


Related Questions

Find the value of X and Y in this triangle.

Answers

Step-by-step explanation:

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

Answer:

[tex] \sin(60) = \frac{45}{x} \\ [/tex]

[tex] x = \frac{45}{ \sin(60) } [/tex]

x=5 1.96

Step-by-step explanation:

[tex] \tan(30) = \frac{y}{45} [/tex]

[tex]y = 45 \tan(30) [/tex]

y=25.98

so far, Jim has burned 5.22 calories. He wants to burn a total of 600 calories. how many more calories must jim burn?

Answers

Answer:

594.78

Step-by-step explanation:

600-5.22 = 594.78

Answer:The answer should be 626.4

Step-by-step explanation:

Which graph represents a function?

Answers

The fourth graph.
Do the vertical line test and the fourth graph is the only graph that passes

Answer:

1

Step-by-step explanation:

it is right ok stop now

Need some help with this question

Answers

Answer:

iba nalang

Step-by-step explanation:

just tell someting wag yan

1. -

2. ×

3.÷

i guess these r the answers

What is the opposite of each number?

Drag the answer into the box to match each number.

Answers

Answer: If it has a negative sign then drag it to one that doesn't have one and vice-versa

Step-by-step explanation:

so 0.005 would be -0.005

Answer:

the opposite of 0.005 is -0.005

the opposite of 1/2 is -1/2

the opposite of 0 is 0

the opposite of -2 is 2

Step-by-step explanation:

I'm confused on how to do that?

Answers

Answer:

(8, 0), (12, 4), (16, 8)

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]  

(20, 12)

(4, - 4)

m = [tex]\frac{-4-12}{4-20}[/tex] = 1

y - 12 = (1)(x - 20)

y = x - 8

y = 8 - 8 = 0

y = 12 - 8 = 4

y = 16 - 8 = 8

PLS

SOLVE !!!!

I WILL MARK THE BRAINLIEST

Answers

Answer:

A is two; B is nine; C is one

Good Luck!

a) C has to be either one or zero (but I'm assuming the solution you're wanting is when C=1). This is because A+B + Whatever is carried can only be a number 0-19, meaning only a 1 can be carried to the third column.

b) if C is 1, then in the ones place, B+A must = 11

c) if the carried 1 + a + b = 10 + a, then a can be substituted and we find that b = 9; and a =2

Part A: In your own words, describe the relationship between the temperature of the city and the number of ice cream cones sold.

Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. ​

Answers

Answer:

Part A: The higher the temp the more ice cream sold.

Part B

Step-by-step explanation:

Find the total interest:
$520 at 2%
for 6 years

Answers

The interest is %2 of 520 which, if you do the math, is 10.4 cents. You want to find out how much interest it is for 6 years so you have to multiply them.

10.4 x 6 = 62.4

The total interest for 6 years is $62.4

your welcome

find the slope
help with this please it’s due soon :)

Answers

undefined!! i hope this helps

Can someone explain this to me if you can.​

Answers

Answer: I wish I can help, but I don't know how to explain it

So basically they are asking you to find what 2 1/3 is in a money amount and the answer is going to be negative because the productions are decreasing

What is the y-intercept of the function y = 3x + 33 ?

Answers

Answer:

33

Step-by-step explanation:

Answer:

it is 33 because you start off at 0 with 33

Step-by-step explanation:

What makes a quadratic function unique?

Answers

Answer:

The graph of a quadratic function is a curve called a parabola which makes a quadratic function unique.

Step-by-step explanation:

Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape which makes it easy to identify.

Hope it helps.

Answer:

Step-by-step explanation:

Maybe that can be solve in so

-maybe diferent ways like graphicly, quadratic equation, factoring, form a perfect square...

-maybe because it has real, imaginary roots, or equal roots

Write a function rule for the area of a rectangle whose length is 5in. more than its width. what is the area of the rectangle when its width is 8in.?

Answers

Answer:

40in^2

Step-by-step explanation:

SHOW YOUR WORK
43.01-2.75

Answers

Answer:

the answer is 40.26, you first subtract 2 to get 41.01 then subtract .75 to get 40.26, not exactly sure what work you want to be shown

Step-by-step explanation:

Help I mark brainliest

Answers

Answer:

-r ^3

Step-by-step explanation:

A license plate is made of three letters and three numbers. How many different license plates are possible? (Recall there are 26 letters in the alphabet and 10 single digit numbers 0-9).

Answers

Using the permutations formula, it is found that: 11,232,000 different license plates are possible

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

The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.

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

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

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

In this question:

3 letters from a set of 26.3 digits from a set of 10.

Thus:

[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]

11,232,000 different license plates are possible

A similar problem is given at https://brainly.com/question/16812463

A bag contains 36 calculators. This number is 75% of the number of calculators that can fit in the bag. How many calculators can the bag hold when filled?

Answers

75% is equal to 3/4
so, 36/3= 12*4=

48 calculators (ANSWER)

The admission fee at an amusement park is $1.50 for children and $6.40 for adults. On a certain day, 286 people entered the park, and the admission fees collected totaled $1164. How many children and how many adults were admitted?

Answers

Answer:

Adult= 150 and Children=136

Step-by-step explanation:

The answer is kids are 136 and adults are 150

A small kite starts 3.7meters off the ground and rises at 6.2 meters per second. A large kite starts at 20.65 meters off the ground and drops at a rate of 5.1 meters per second. After how many seconds are the kites at the same height? Write and solve an equation.

Answers

Answer: The kites are  at the same height at 15.41s

Step-by-step explanation:

Step 1

Let t represent the time in seconds.

The equation that represents when both small and large kite are at the same height is given as

3.7 + 6.2t =20.65 +5.1t

Step 2----- Solving

3.7 + 6.2t =20.65 +5.1t

Taking like terms  and subtracting

6.2t-5.1t  = 20.65- 3.7

1.1t =16.95

t = 16.95/1.1

t=15.41s

The kites are  at the same height at 15.41s

(20 POINTS PLEASE HELP)
Find the reciprocal of the expression.
10b/2b+8

See image attatched below for the options given

Answers

Answer:

it the first one cause you adding so it 8b plus 2

Step by step please
9x^2 -3х + 16 = 6

Answers

Answer:

Step-by-step explanation:

Rewrite  

9

x

2

as  

(

3

x

)

2

.

(

3

x

)

2

16

Rewrite  

16

as  

4

2

.

(

3

x

)

2

4

2

Since both terms are perfect squares, factor using the difference of squares formula,  

a

2

b

2

=

(

a

+

b

)

(

a

b

)

where  

a

=

3

x

and  

b

=

4

.

(

3

x

+

4

)

(

3

x

4

)

it's asking me to order them from least to greatest how do I do that with tables ​

Answers

Hi there! Hope this helps.

Answer:

Look below.

Step-by-step explanation:

I didn't know if you wanted the answer or just an explanation, so I'll give you an explanation for now.

Look at all of the tables and find the one with the smallest, 2nd smallest, and 3rd smallest numbers and keep going up until you get to the biggest number.

PLEEEEAASEEE HEEELPPP MEEE

Answers

Answer:

The measure of the vertex angle is 100°

Step-by-step explanation:

In Δ MNO

∵ Δ MNO is an isosceles triangle with base MO

NM = NO

→ In an isosceles triangle, the base angles are equal in measures

∵ ∠M and ∠O are the base angles isosceles ΔMNO

m∠M = m∠O

∵ m∠M = (3x + 10)°

∵ m∠O = (5x - 10)°

→ Equate their measures

5x - 10 = 3x + 10

→ Add 10 to both sides

∵ 5x - 10 + 10 = 3x + 10 + 10

∴ 5x = 3x + 20

→ Subtract 3x from both sides

∴ 5x - 3x = 3x - 3x + 20

∴ 2x = 20

→ Divide both sides by 2 to find x

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{20}{2}[/tex]

x = 10

→ Substitute the value of x in the measures of ∠M and ∠O to find them

∵ m∠M = 3(10) + 10 = 30 + 10

m∠M = 40°

∵ m∠O = 5(10) - 10 = 50 - 10

m∠O = 40°

→ The sum of the measures of the interior angles of a Δ is 180°

m∠M + m∠O + m∠N = 180°

∵ 40 + 40 + m∠N = 180

→ Add the like terms

∴ 80 + m∠N = 180

→ Subtract 80 from both sides

∴ 80 - 80 + m∠N = 180 - 80

m∠N = 100°

∵ ∠N is the vertex angle of Δ MNO

The measure of the vertex angle is 100°

Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.

Answers

Answer:

y = -5/3 * x - 40/3

Step-by-step explanation:

A perpendicular line has an opposite and a reciprocal of the slope.

Your equation should be:

-5y = -3x +6

Divide all parts by -5.

y = 3/5x - 6/5

Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.

Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).

In put the y and x coordinates like this:

y - 0 = -5/3(x - (-8)

Start solving the equation.

y - 0 = -5/3(x + 8)

y - 0 = -5/3 * x - 40/3

y = -5/3 * x - 40/3

This is your equation.

y = -5/3 * x - 40/3

(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)

9514 1404 393

Answer:

  5x +3y = -40

Step-by-step explanation:

When the equation of a line is given in standard form, the equation of the perpendicular line can be found by swapping the coefficients of x and y, and negating one of them.

Here, that means the equation ...

  3x -5y = constant

becomes

  5x +3y = new constant

The value of the new constant is found by putting the given point coordinates in the expression on the left:

  5x +3y = 5(-8) +3(0) = -40

The equation of the perpendicular line is ...

  5x +3y = -40

hii i need help again.
Find the total cost to the nearest cent.
$49.95 pair of shoes: 5% tax

Answers

Answer:

2.49 or 2.50

Step-by-step explanation:

Answer:

= 52.4475 rounded to nearest cent = 52.44

Step-by-step explanation:

Plz mark brainliest!!!

Determine whether each triangle with sides of 28 yd, 195 yd, and 197 yd is a right triangle

Answers

Answer:

yes it is

Step-by-step explanation:

to have a right traingle two sides cannot be equal and the first added and squared cannot be more than the last side squared

If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?

Answers

Answer:

=29

Step-by-step explanation:

2f(b)=28

divide by 2

f(b)=14

f(b)=3b-1

3b-1=14

add 1 on both sides

3b=15

divide by 3

b=5

f(5)=14

let's plug that in

f(2×5)=3(2×5)-1

f(10)=30-1

f(10)=29

The value of f(2b) is 29 if f(x) = 3x - 1 and 2f(b) = 28 the answer is 29.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x) = 3x - 1 and 2f(b) = 28

Plug x = b

f(b) = 3b - 1

2f(b) =2(3b - 1)

2f(b) = 28

28 = 2(3b - 1)

b = 5

f(2b) = f(2(5)) = f(10)

f(10) = 3(10) - 1

f(10) = 30 - 1 = 29

Thus, the value of f(2b) is 29 if f(x) = 3x - 1 and 2f(b) = 28 the answer is 29.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Find point
on the x-axis so that AC + BC is a minimum.
A(4,-5), B(12,3)

Answers

Answer:-3

Step-by-step explanation:

The minimum value of a function can be obtained from its derivative

The point on the x-axis that makes [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] minimum is the point [tex]\underline{(9, \, 0)}[/tex]

Reason:

Let (d, 0) represent the coordinate of the point, on the x-axis, we have;

[tex]\overline{AC}[/tex]² = (4 - d)² + (-5)²

[tex]\overline{AC}[/tex] = √((4 - d)² + (-5)²)

[tex]\overline{BC}[/tex]² = (12 - d)² + 3²

[tex]\overline{BC}[/tex] = √((12 - d)² + 3²)

[tex]\overline{AC}[/tex]² + [tex]\overline{BC}[/tex]² = L =  4² + (-5 - d)² + 12² + (3 - d)²

When [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] is minimum, we have;

[tex]\lim_{n \to \infty} a_n \dfrac{d}{dd} (\overline{AC} + \overline{BC}) = \dfrac{d}{dd} \left(\sqrt{ (4 - d)^2 + (-5)^2)} + \sqrt{ (12 - d)^2 + 3 ^2)} \right) = 0[/tex]

Which gives;

[tex]\dfrac{d}{dd} \left(\sqrt{ (4 - d)^2 + (-5)^2)} + \sqrt{ (12 - d)^2 + 3 ^2)} \right) = \dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } + \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8\cdot d + 41} }[/tex]

Therefore;

[tex]\dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } + \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8 \cdot d + 41} } = 0[/tex]

[tex]\dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } =- \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8 \cdot d + 41} }[/tex]

Squaring both sides and cross multiplying gives;

16·d² - 528·d + 3456 = 0

Which gives;

16·(d - 24)·(d - 9) = 0

Therefore, d = 24, and d = 9

The point (9, 0), is closer to the given points than the point (24, 0), therefore;

The point on the x-axis that makes [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] minimum is the point [tex]\underline{(9, \, 0)}[/tex]

Learn more here:

https://brainly.com/question/17117378

Company A charges $3.25 per spirit banner. The equation C=2.45x represents the cost in dollars, C, for x spirit banners at Company B. How much more would it cost to purchase 80 spirit banners from the more expensive company?

Answers

Answer:

$64.00

Step-by-step explanation:

Company A:

C = 3.25x

3.25 x 80 = 260

Company B:

C = 2.45x

2.45 x 80 = 196

How much more?

260 - 196 = 64

Difference in Total price for 80 unit is $84

Given that;

Per spirit cost in company A = 3.5 per spirit

Cost equation for company B = C = 2.45x

Find:

Difference in Total price for 80 unit

Computation:

Difference in Total price for 80 unit = 80[3.5 - 2.45]

Difference in Total price for 80 unit = 80[1.05]

Difference in Total price for 80 unit = $84

Learn more:

https://brainly.com/question/6364615?referrer=searchResults

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