Rotate shape A 180° with centre of rotation (3,-1). What are the coordinates of the vertices of the image?

Answer:

Yes, the trapezoid is an isosceles trapezoid.

As the diagonals of the trapezoid KLMN are not equal in length it is not an isosceles trapezoid.

The area of a trapezoid is the average length of the parallel sides times the height.

We know isosceles trapezoids have equal legs length and diagonals are also of the same length.

Given a trapezoid KLMN with verticies  K(1, 3), L(3, 1), M(3, 0), and N(1, −2).

∴ KM and LN are two diagonals of the trapezoid and if KM = LN then it is an isosceles trapezoid.

To determine if KM and LN are equal or not we'll simply use the distance formula which is,

D = [tex]\sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}[/tex].

∴ KM = [tex]\sqrt{ (3 -1)^2 + (0 - 1)^2}[/tex].

KM = [tex]\sqrt{ (2)^2 + (-1)^2}[/tex].

KM = [tex]\sqrt{5}[/tex].

And LN = [tex]\sqrt{ (1 -3)^2 + (-2 - 1)^2}[/tex].

LN = [tex]\sqrt{ (-2)^2 + (-3)^2}[/tex].

LN = [tex]\sqrt{ 4 + 9}[/tex].

LN = [tex]\sqrt{13}[/tex].

∴ KM ≠ LN hence diagonals are not equal.

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Answer:

Hey! Your answer is , x >20

Step-by-step explanation:

Hope this helps! :)

Have a nice day!

Answer:

15%

Step-by-step explanation:

Answer:

Mean- 14.5

Median- 15.5

Interquartile Range- 7.5

Step-by-step explanation:

The mean is a type of average. It is the sum (total) of all the values in a set of data.

The median is the middle number in a sorted, ascending or descending, list of numbers.

The interquartile range describes the middle 50% of values when ordered from lowest to highest.

Answer:

22.36

Step-by-step explanation:

22.36 X 22.36 =(Approx) 500 feet2

Answer:

4x²+4y²-20x+12y-2=0

4x²-20x+4y²+12y = 2

4(x²-5x) + 4(y²+3y) = 2

4(x²-5x+25/4) + 4(y²+3y+9/4) = 2 + 4*25/4 + 4*9/4

4(x-5/2)² + 4(y+3/2)² = 36

(x-5/2)² + (y+3/2)² = 9

Step-by-step explanation:

hope this helped :)

Answer:

y= -2/3x^2 + 5/3x + 1/6

Step-by-step explanation:

Answer:

2/3 x 9 = 18 divided by 3 = 6

answer is 9

Answer:

(2, 0)

Step-by-step explanation:

Given the simultaneous equation

2x-y = 4

3x+y = 6

Add both equation

2x+3x = 4 + 6

5x = 10

x = 10/5

x = 2

Substitute x = 2 into equation 1

From1 ;

2x-y = 4

2(2) - y = 4

4 - y = 4

y = 4-4

y = 0

Hence the solution to the system of equation is (2, 0)

Answer:

oak tree is a linear function and birch tree is exponential

Step-by-step explanation:

cuz i just did it

The oak tree have a liner function and the birch tree have exponential function .

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

An exponential function is a mathematical function of the following form:

f ( x ) = [tex]a^{x}[/tex]. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

According to the question

The number of branches of an oak tree and a birch tree since 1950 are represented by the following tables:

Number of Oak trees (x)                       Number of branches  f(x)

0                                                                     34

3                                                                     46

6                                                                    59

9                                                                    70

12                                                                   82  

So in this table we can see that there is increment in number of branches but in a pattern approx.

i.e

f(x) = 34 + 4(x)

where x will be Number of Oak trees

therefore it is a Linear function

Number of Birch trees (x)                         Number of branches f(x)

0                                                                       8

10                                                                    33

20                                                                   128

30                                                                   512

40                                                                 2049  

So , in this table is increasing in a very fast pace but in a pattern approx.

i.e

f(x) = [tex]8*4^{\frac{x}{10} }[/tex]

Therefore it is an exponential function

Hence, The oak tree have a liner function and the birch tree have exponential function .

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Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x - y = 5 → (1)

4x + y = - 10 → (2)

Rearrange (1) expressing y in terms of x

(a)

y = x - 5 → (3)

Substitute y = x - 5 into (2)

4x + x - 5 = - 10

5x - 5 = - 10 ( add 5 to both sides )

5x = - 5 ( divide both sides by 5 )

x = - 1

Substitute x = - 1 into (3) for corresponding value of y

y = - 1 - 5 = - 6

(b)

As a check

Substitute x = - 1, y = - 6 into the left side of the 2 equations and if equal to the right side then they are the solution

(1 ) x - y = - 1 - (- 6) = - 1 + 6 = 5 ← True

(2) 4x + y = 4(- 1) + (- 6) = - 4 - 6 = - 10 ← True

Thus solution is (- 1, - 6 )

Answer:

the answer is number ten!!!!!!!!!!!!

Step-by-step explanation:

Answer:

8% interest rate

Step-by-step explanation:

step-by-step explanation: intrest = 484

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

x = - 3, y = - 11

Step-by-step explanation:

Given the 2 equations

y = 7x + 10 → (1)

y = - 4x - 23 → (2)

Substitute y = 7x + 10 into (2)

7x + 10 = - 4x - 23 ( add 4x to both sides )

11x + 10 = - 23 ( subtract 10 from both sides )

11x = - 33 ( divide both sides by 11 )

x = - 3

Substitute x = - 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 7(- 3) + 10 = - 21 + 10 = - 11

Answer:

=6x+30

Step-by-step explanation:

happy to help ya :)

Answer:

98º

Step-by-step explanation:

Answer:

6.24 pounds

Step-by-step explanation:

12 x .52 = 6.24 pounds

Answer:

The answer would be 6.24lb

Step-by-step explanation:

I took the k12 test

Answer:

I would love to help, Could you put the question in EnglisStep-by-step explanation

Answer:7 times 3.14=21.98

Step-by-step explanation:click the crown at the bottom of my answer

Answer:

43.98

Step-by-step explanation:

arc length =2* pie * r

Answer:

j = 125

Step-by-step explanation:

All you do is take 625 divided by 5 to get 125. Replace j for 125 to get 625 so j is equal to 125.

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

cookie dough fundraiser is a great way to raise money for your school, team, ... selling large or small cookie dough tubs, or pre-portioned cookie dough trays.

Answer:

4 days

Step-by-step explanation:

If we say d = number of days passed, j = tubs sold by jayla and b = tubs sold by brian

j = 4 + d

because when d = 0 j must equal 4, then it goes up by 1 each day

b = 2d

because when d = 0 b must be 0, then it goes up by 2 each day

set them to be equal and solve for d

4 + d = 2d

d = 4

so after 4 days they sell the same amount which is 8

Answer:

EG

Step-by-step explanation:

Answer:

18-9x

Step-by-step explanation:

Answer:

18-9x

Step-by-step explanation:

Answer: Kristina  sister's age = 15 years

Step-by-step explanation:

LET the sister's age be rep as x

SO that Kristina = 4/5 of x

Given that Kristina's age = 12 , Then her sister's age can be found using The equation

4/5 x X= 12

4/5 X =12

X = 5 X 12 / 4

=60/4=15

Kristina's sister's age = 15 years.

Answer:

Need more information.

Step-by-step explanation:

Answer:

5x(y+2)

Step-by-step explanation:

Answer:

You cannot add them because they both don't have the same like terms.

But if you just straight out add your answer would either be 15xy or just 15x

Step-by-step explanation:

Sorry hope this helped in someway

Answer:

B

Step-by-step explanation:

As it is mentioned in the question that the mice grows at a rate of 7%, it would be answer B. Hope this helps, thank you !!