The coordinates of the vertices of the image after rotating shape A 180° with centre of rotation (3,-1) are as follows :Vertex A' : (4,-3)Vertex B' : (-1,-1)Vertex C' : (-2,-4)
To rotate a shape in the Cartesian plane, you need to know the centre of rotation and the angle of rotation. Here, the centre of rotation is given as (3,-1) and the angle of rotation is 180°.To rotate a shape 180° about the centre of rotation, we need to find the mirror image of the shape about the line passing through the centre of rotation. This mirror image will be the required image. We can find the mirror image by simply negating the x and y coordinates of each point with respect to the centre of rotation.
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Kristina is four-fifths as old as her sister. Kristina is 12 years old. Write a multiplication equation and solve the equation to determine her sister's age
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.
Eloise bought 12 grapefruits. Each grapefruit weighed 0.52 pound.
How many pounds of grapefruits did Eloise buy?
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
4x^2+4x^2-20x+12y-2=0 standard form
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:
Please find the measure of angle F
Answer:
98º
Step-by-step explanation:
A square has an area of approximately 500 square feet. Which of the following would be the most reasonable estimate of the length of the side of the square?
Answer:
22.36
Step-by-step explanation:
22.36 X 22.36 =(Approx) 500 feet2
plz i need help hurry
and how do you mark brainliest
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
please help will mark braileist
Answer:
EG
Step-by-step explanation:
Solve for y : y/2 - 5= -11 (I need help I’m a bit confused).
Trapezoid KLMN has vertices K(1, 3), L(3, 1), M(3, 0), and N(1, −2).
Is this trapezoid an isosceles trapezoid?
Select from the drop-down menu to correctly complete the statement.
Trapezoid KLMN
is not
an isosceles trapezoid.
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.
What is the area of a 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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What is the NPV of (x-5)
HELP ASAP
Will GUVE BRAINLIEST!!
Jayla and Brian are both selling cookie dough for a fundraiser. Although, Jayla has already sold 4 tubs, brian haven’t sold any yet. If jayla starts selling 1 Tun per day and brian begins selling 2 tubs per days, they will eventually sell the same amount of cookie dough, how many days will that take?
Write the expression. And solutions written as an ordered pair.
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
choose the graph that solves system of equations.y=2x-6 y=-4x+3
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:
How to solve this system of equations?
y = 7x + 10
y = -4x - 23
x=
y=
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
Need help ASAP
Thankss + BRAINLIST only for correct answer
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)
Solve the following equation. Show all work and check your answer: 5j=625?
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.
Maria had 6 feet of ribbon. She will cut the ribbon into pieces that are 2/3 of a foot long. How many pieces of ribbon will Maria have?please solve!
Answer:
2/3 x 9 = 18 divided by 3 = 6
answer is 9
What is the solution to the system of equations below?
y = 5x+6 and Y--x-4
Answer:
the answer is number ten!!!!!!!!!!!!
Step-by-step explanation:
You are baking cookies for a bake sale. It takes 30 minutes to mix the cookie dough and 10.5 minutes to bake a sheet of cookies. The total time can be modeled by t(x) = 10.5x+30, where x is the number of sheets of cookies baked. a. Graph the function and identify its domain and range. b. Find and interpret the value of x so that t(x) = 114.
9. Jude deposited $550 into an account that
earns simple interest, and after 11 years, the
interest in the account was $484. What was
the simple interest rate?
Answer:
8% interest rate
Step-by-step explanation:
step-by-step explanation: intrest = 484
factors of -135 that equal to -7
Answer:
Need more information.
Step-by-step explanation:
9 - x < -11 lololol help
Answer:
Hey! Your answer is , x >20
Step-by-step explanation:
Hope this helps! :)
Have a nice day!
DONT DO PART C you do not need to do that one i only need help on A and B please.
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 )
9) 5xy+10x ??????????????????
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
The number of branches of an oak tree and a birch tree since 1950 are represented by the following tables:
Determine whether the data described in the tables is best modeled by a linear function or an exponential function
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 .
What is linear 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.
What is exponential function?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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this is for keigo-san ^^
whats 6x3-9x=
Answer:
18-9x
Step-by-step explanation:
Answer:
18-9x
Step-by-step explanation:
HELP I NEED HELP ASAP
A population of mice grows at a rate of 7% each year. Which function, f(t), could represent the total number of mice after t years?
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 !!
I need help please first answer will get brainliest
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.
7.5 is what percent of 50?
Answer:
15%
Step-by-step explanation:
3(x+5)+3(x+5) help! Please
Answer:
=6x+30
Step-by-step explanation:
happy to help ya :)
Aşağıdaki parçaların hangisinde öyküleyici bir anlatım vardır
A)Kitap; noktalama işaretleri ile ilgili çeşitli tespitlere tespitlerden sorunlara sorunlardan çözümlere çö-
9.SINIF SALLAMAYIN DEVAMI FOTODA
Answer:
I would love to help, Could you put the question in EnglisStep-by-step explanation