A rotation R takes A(1,-3) to A'(3,5) and B(0,0) to B'(4,-6). find the centre of rotation?​

Answers

Answer 1

The center of rotation will be (0,4). The points are plotted and the center is found with the help of a graph.

What exactly is a circle?

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

Given points;

A(1,-3)

A'(3,5)

B(0,0)

B'(4,-6)

C is the center point of rotation.

The given points are plotted on the graph and obtained as the center of rotation will be (0,4).

Hence the center of rotation will be (0,4).

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A Rotation R Takes A(1,-3) To A'(3,5) And B(0,0) To B'(4,-6). Find The Centre Of Rotation?

Related Questions

Which expression is equivalent to 7a³ (8a² + a)²-4a³?
Simplify.

Answers

[tex]7a³ (8a² + a)²-4a³ \\ \\ 7 {a}^{3}(8 { {a}^{2} + a)(8 {a}^{2} + a )} - 4 {a}^{3} \\ \\ 7 {a}^{3} ( {8a}^{2} (8 {a}^{2} + a ) + a(8 {a}^{2} + a ) - 4 {a}^{3} \\ \\ 7 {a}^{3} (64 {a}^{4} + 8{a}^{3} + 8 {a}^{3} + {a}^{2} ) - 4 {a}^{3} \\ \\ 7 {a}^{3} (64 {a}^{4} + 16 {a}^{3} + {a}^{2} ) - 4 {a}^{3} \\ \\ 448 {a}^{7} + 112 {a}^{6} + 7 {a}^{5} - 4 {a}^{3} \\ \\ {a}^{3} (448 {a}^{4} + 112 {a}^{3} + 7 {a}^{2} - 4).[/tex]

find the average rate of change​

Answers

Answer:

[tex]\dfrac{26}{3}[/tex]

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given function:  [tex]f(x)=3^{x-1}+2[/tex]

Given interval:  1 ≤ x ≤ 4

Therefore, a = 1 and b = 4

Therefore, find the value of the given function when x = 1 and x = 4:

[tex]\begin{aligned}\implies f(1) & =3^{1-1}+2\\ & = 3^0+2\\ & = 1+2\\ & = 3 \end{aligned}[/tex]

[tex]\begin{aligned} \implies f(4) & = 3^{4-1}+2 \\ & = 3^3+2\\ & = 27+2\\ & = 29 \end{aligned}[/tex]

Substitute the found values into the formula:

[tex]\begin{aligned}\implies \dfrac{f(b)-f(a)}{b-a} & =\dfrac{f(4)-f(1)}{4-1}\\\\ & =\dfrac{29-3}{4-1}\\\\ & = \dfrac{26}{3} \end{aligned}[/tex]

does this table represent a function? yes or no

Answers

Answer:

D

Step-by-step explanation:

The table does not represent a function because their are two x values with the same y value.

Answer:

C. No, one x --- two different y's

Step-by-step explanation:

In order to be a function, every x can have only one y partnered with it. So if the function is written in this two-column format, if no x's repeat, you can say it is a function. If an x does repeat, it MUST have they same y both times. Here 2 repeats in the x column, but at first it is with 1 and in the next row it is with 4. Can't have that! So this is not a function!

(Btw, it doesn't matter at all the 4 repeats in the y-column nor that it is paired with different x's. Doesn't matter. Not a thing)

Use the discriminant to describe the roots of each equation. Then select the best description.

3x^2 - 2 + 7x =0

Answer options:
•double root
•imaginary root
•real and irrational root
•real and rational root

Answers

The quadratic equation 3 · x² + 7 · x - 2 = 0 has a positive discriminant. Thus, the expression has two distinct real roots (real and irrational roots).

How to determine the characteristics of the roots of a quadratic equation by discriminant

Herein we have a quadratic equation of the form a · x² + b · x + c = 0, whose discriminant is:

d = b² - 4 · a · c     (1)

There are three possibilities:

d < 0 - conjugated complex roots.d = 0 - equal real roots (real and rational root).d > 0 - different real roots (real and irrational root).

If we know that a = 3, b = 7 and c = - 2, then the discriminant is:

d = 7² - 4 · (3) · (- 2)

d = 49 + 24

d = 73

The quadratic equation 3 · x² + 7 · x - 2 = 0 has a positive discriminant. Thus, the expression has two distinct real roots (real and irrational roots).

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Analyze the diagram below and complete the instructions that follow.


/

Find the value of x.

A.
4
B.
5
C.
6
D.
9



Please select the best answer from the choices provided


A
B
C
D

Answers

The value of x will be 4 ,  Option A is the answer.

What is a Right Angled Triangle ?

A triangle that has one angle as 90 degree is called a Right angled Triangle.

In a right angled triangle

the length of the sides can be determined using Pythagoras Theorem

The length of the side is given in the image attached as

x-2 , x , √20

Hypotenuse ² = Perpendicular² + Base²

(√20)² = x² + (x-2)²

20 = x² + x² +4 -4x

2x²-4x -16 = 0

x² -2x -8 = 0

x² - 4x +2x -8 = 0

x (x-4) +2(x-4) = 0

(x+2)(x-4) = 0

x = -2 , 4

The value of x will be 4 .

Therefore Option A is the answer.

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Which equation can be simplified to find the inverse of y = 5x² + 10?
Ox=5y² + 10
O-5X+10
O-y=5x² + 10
1
O y = x² + 10

Answers

Answer:

[tex]x = 5y {}^{2} + 10[/tex]

The inverse of the function is x = 5y² + 10.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To find the inverse of a function, we need to solve for x in terms of y.

To do this, we can start by replacing y with x and solving for x.

y = 5x² + 10

x = 5y² + 10

Now we have solved for x in terms of y, which gives us the inverse of the original function.

So the equation that can be simplified to find the inverse of y = 5x² + 10 is:

x = 5y² + 10

Thus,

The inverse of the function is x = 5y² + 10.

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Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distance (in meters). Find v when u is 6 m/s, a is 3 m/s², and s is 29 meters. A. 210−−−√ m/s B. 15 m/s

Answers

Answer:

When the initial velocity is 6m/s and acceleration is 3m/s², the final velocity after a distance of 29m is √210m/s.

Step-by-step explanation:

Concept: In the problem it is given that u = 6m/s, a = 3m/s² and s = 29m. We need to find the v. In such kinematical problems, we have an equation v² = u² + 2as. From this relation we can find v.

v² = 6² + 2×3×29

v² = 36 + 174

v² = 210

v = √210 m/s

So, the final velocity is the under-root of 210 or √210 m/s.

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HELP ASAP/NOW....NO JOKES OR LINKS!!!!!!

what is the vale of the expression -2x^2-4x+10 when x= -3

A. -20

B. 16

C. 40

D. 4

Answers

Answer:

D.  4

Step-by-step explanation:

Given expression:

[tex]-2x^2-4x+10[/tex]

To find the value of the expression when x = -3, substitute x = -3 into the expression:

[tex]\implies -2(-3)^2-(-3)x+10[/tex]

Apply exponent rule  [tex](-a)^2=a^2[/tex]:

[tex]\implies -2(3^2)-4(-3)+10[/tex]

[tex]\implies -2(9)-4(-3)+10[/tex]

[tex]\implies -18-4(-3)+10[/tex]

Apply rule [tex]-(-a)=a[/tex] :

[tex]\implies -18+(4)(3)+10[/tex]

[tex]\implies -18+12+10[/tex]

Add/subtract from left to right:

[tex]\implies -6+10[/tex]

[tex]\implies 4[/tex]

Let's find

-2x²-4x+10-2(-3)²-4(-3)+10-2(9)+12+10-18+224

Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the best estimate of the speed Morris is traveling?

1 mile = 5,280 feet

45 miles per hour
46 miles per hour
47 miles per hour
48 miles per hour

Answers

Answer:

48 miles per hour I hope I helped you have a nice day

What percent of patients with type-B blood are male? Round your answer to the nearest tenth of a percent.

Answers

Answer:

54%

Step-by-step explanation:

To find the probability for a male patient to have B blood, find the number of male patients who do have B blood and divide it by the number of patients with type B.

The number of male and B blood is 99.

The number of patients with B blood is 183.

The probability is 99/183 = 0.54.

The percent is found by multiplying by 100.

0.54*100 = 54%


Parallelogram EASY is drawn with diagonal ES. The measure of Angle AES is 40 degrees and the measure of Angle Y is 110
degrees.
Find the measure of Angle A, Angle YEA, Angle ESA, and Angle ESY.

Answers

Answer:

Step-by-step explanation:

Givens

Parallelogram EASY with diagonal ES

<AES = 40

<Y = 110

Solution

<AES = 40               GIVEN

<ESY = 40                     Z THEOREM OF A PRALLELOGRAM

<A = <Y                         PROPERTY OF A PARALLELOGRAM

<A = <110                      <A = 110 BECAUSE <Y = 110

<YES = 180 - <Y           -<ESY EVERY TRIANGLE HAS 180o

<YES = 180 - 110 - 40    SIMPLIFY

<YES = 30

<YEA = <YES + <AES    WE KNOW BOTH ANGLES ON THE RIGHT.

<YEA = 30 + 40             COMBINE

<YEA = 70

You could do <YEA by noting that consecutive angles of a Parallelogram equal 180

What is an equation of the line that is perpendicular to y - 4 = 2(x - 6) and
passes through the point (-3, -5)?
• A. y -5=1/2(x-4)
• B. y - 5 = -2(x- 3)
• C. y + 5 = 2(x+ 3)
O D. y +5- -1/2(x+3)

Answers

Answer:

D. y + 5 = -1/2(x + 3)

Step-by-step explanation:

Let k: y = a₁x + b₁ and l: y = a₂x + b₂. Then

k ║ l ⇔ a₁ = a₂k ⊥ l ⇔ a₁ · a₂ = -1

We have the euation of a line in point slope form:

(y - y₁) = m(x - x₁)

Convert to the slope intercept form:

y =mx + b

y - 4 = 2(x - 6)

y - 4 = 2x - 12

y - 4 + 4 = 2x - 12 + 4

y = 2x - 8

The slope is m₁ = 2.

Let y = m₂x + b.

The lines is perpendicular. Therefore:

2m₂ = -1     |divide both sides by 2

m₂ = -1/2

The line passes through the point (-3, -5).

Substitute to the point slope equation:

y - (-5) = -1/2(x - (-3))

y + 5 = -1/2(x + 3)

(6+9)2+6(600-9)+600 divide 30

Answers

Step-by-step explanation:

GIVEN

HERE

= 6+9+2+6+600÷30 { firstly add numbers }

= 623 ÷ 30

= 20

I think you understand

20 simple math , pretty easy

The area of a square is 256cm2. When each side of the square is increased by x cm, its area becomes 324 cm2.Find the value of x.

Answers

Answer: x = 2

Step-by-step explanation:

First, let's take the root of 256 to find the length of each side before the addition of x.

[tex]\sqrt{256} = 16[/tex]

This means 16 cm is the length of each side before the addition of x.

Then increase each side by X to get

[tex](16 + x)(16 + x) = 324[/tex]

[tex]256 + 16x + 16x + x^2=324[/tex]

[tex]x^2+32x -68=0[/tex]

[tex]x=2[/tex]  or   [tex]x=-34[/tex]

The value cannot be negative so x has to be 2

A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?

Answers

Answer: 26 inches is equivalent to 660.4 millimeters.

Step-by-step explanation:

You will multiply the inches by the conversion.

[tex]26in*25.4mm=660.4mm[/tex]

Therefore, the answer is 660.4 millimeters.

I hope this helps!! Pls mark brainliest :)

Simplify [tex]\sqrt{18}. \\[/tex]

[tex]A; 2\sqrt{3} \\B; 2\sqrt{9} \\C; 3\sqrt{2} \\D; 9\sqrt{2} \\[/tex]

Answers

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

Answer:  [tex]\textsf{Option C, 3}\sqrt{2}[/tex]

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

Given:  [tex]\sqrt{18}[/tex]

Find: [tex]\textsf{Simplify the expression}[/tex]

Solution: In order to get a number outside of the square root there must be two of them inside of the square root.  The first step that we need to take is to break down the number 18 into it's lowest factors and then take out the numbers can be taken out.

Break down the number 18

[tex]\sqrt{18}[/tex][tex]\sqrt{\textsf{2 * 3 * 3}}[/tex][tex]\sqrt{\textsf{2 * 3}^2}[/tex]

Take 3 outside of the square root

[tex]\sqrt{\textsf{2 * 3}^2}[/tex][tex]\textsf{3}\sqrt{\textsf{2}[/tex]

Therefore, the option that would best match the results that were solved for is option C, [tex]\textsf{3}\sqrt{\textsf{2}[/tex]

The answer is D because that’s the square root

Someone help me with 4 pleaseeeeee

Answers

Answer:

C

Step-by-step explanation:

Use the equation [tex]a^2 + b^2 = c^2[/tex]

Input the numbers----> [tex](2865)^2 +(4550)^2=c^2[/tex]

Simplify ----> [tex]28910725=c^2[/tex]

Find the square root------->[tex]5376.9=c[/tex]

The dimensions of a rectangles are 8cm and 12cm. What is the ratio of its length to its perimeter?

Answers

Answer:

Dimensions = 8 CM and 12 CM

length = 12 CM

width = 8 cm

perimeter = 2 ( length + width)

= 2( 12 + 8)

= 2 ( 20)

= 40 CM

ratio = 12/40

= 6/20

= 3/10

= 3 : 10

One of the solutions to x² - 2x - 15 = 0 is x = -3. What is the other solution?
O x=-5
O x=-1
O x = 1
O x = 5

Answers

Answer:

x= 5

Step-by-step explanation:

factorised the equation is (x-5) (x+3)

x=5 x=-3

simplify

5cat + 3act - 6tac

Answers

Answer:

the correct answer is 2 act

Step-by-step explanation:

there is same base (act)

then 5+3=8

and 8-6 = 2act

Andy fed his dog about 16kilogram of food in one week. he fed his cat about 2 kilogram of food in one week what is the best estimate for the total amount of food he feeds his dog and cat in2 weeks. each animal represent 4 kilogram of food

Answers

Answer:

36kg

Step-by-step explanation:

The dog eats 16kg per week, which is 32kg in 2 weeks

The cat eats 2kg per week, which is 4kg in 2 weeks

32+4=36

Subtract-3x - 8 from 4x² - 7x - 2.

Answers

[tex]( {4x}^{2} - 7x - 2) - (3x - 8) \\ \\ {4x}^{2} - 7x - 2 - 3x + 8 \\ \\ {4x}^{2} - 10x + 4.[/tex]

Identify the equation with an x-intercept of 3 and a y-intercept of -2.

Answers

The equation of line is 2x  - 3y = 6.

What is intercept?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

The x-intercept is 3 and the y-intercept is -2.

So, the line passes through the points  (3, 0) and (0, -2)

Now, slope of line is

m= -2-0/ 0-3 = 2/3

Equation of line is

y = 2/3 x - 2

y = 2x-6 /3

3y= 2x -6

2x  - 3y = 6

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Find the highest common factor [HCF] of 10 and 17

Answers

Answer

Step by step explanation

1 is the answer for this question

-19+[27-(14+(5-2)×4÷2))]
simplify ​

Answers

Answer:

-12

Step-by-step explanation:

good afternoon can someone please helppp :))))
Triangle XYZ is dilated by a scale factor of 1/4​ to form triangle X'Y'Z'. Side YZ measures 18. What is the measure of side Y'Z'?



(Round your answer to the nearest tenth)

Answers

You would do 18 times 1/4 because a dilation is always a multiplication or division because it makes the shape shrink or expand. 18 times 1/4 is 4.5 so that would be your answer:)

Could use help asap please

Answers

Observe the diagram below with indexes on the shapes.

The transformations are:

Shape I is given a 90° clockwise rotation about the origin and then a reflection across the x-axis.
In doing this transformation we first get the shape b by rotating shape I 90° clockwise about the origin and then when we reflect shape b about the x-axis we get shape a.

Ultimately, we get shape a after doing the above transformation on Shape I.
Shape I is given a 90° counterclockwise rotation about the origin and then reflection across the x-axis.
In doing this transformation we first get the shape e by rotating shape I 90° counterclockwise about  the origin. And then after reflecting this shape e about x-axis we get shape d.

Ultimately, we get shape d after doing the above transformations on Shape I.
Shape I is given a 180°  rotation about the origin and then translation right 4 uints.
In doing this transformation we first get the shape c by rotating shape I 180° about the origin. After that when it is translated 4 units right we get shape c at 4 uints right to  shape c's original position.
That means congruent to shape c.

Ultimately, we get shape c after doing the above transformations on Shape I.


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Construct a regular hexagon inscribed in a circle. Please help.

Answers

Answer:

no lo sd

Step-by-step explanation:

solo se que is really

In what? desmos, drawing?

A square garden has a side length of 5 ft. What is the area of the garden?
O 5ft²
O 10ft²
O 20ft²
O 25 ft²

Answers

formula is lsquare so answer is 25ft

A shoe making company makes 256 pairs of boots in a day how many pairs of boots do they make in 260 days​

Answers

Answer:

66560 pairs

Step-by-step explanation:

let the number of pairs of boots the company makes in 260 days = X

1day -----------------256pairs

260days-------------X

cross multiplying

1×X = 260×256

X= 66560

therefore, in 260days, he makes 66560 pairs

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