I need help with this question for my 8th grade math test
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left

Answers

Answer 1

Transforming the points involves changing their coordinates

The image of the points are:  (3, 6), (-11, 12) and  (-3, -12)

How to complete the transformations?

The coordinates of the points are given as:

X(2, 4)

Y(5,-3)

Z(-7, 1)

a) Rotate the points 90 degrees clockwise

The rule of this transformation is:

(x, y) to (y, -x)

So, we have:

X' = (4, -2)

Y' = (-3, -5)

Z' = (1, 7)

b) Dilation by a scaling factor of 2

The rule of this transformation is:

(x, y) to (2x, 2y)

So, we have:

X'' = (8, -4)

Y'' = (-6, -10)

Z'' = (2, 14)

c) Reflect across the x-axis

The rule of this transformation is:

(x, y) to (x, -y)

So, we have:

X''' = (8, 4)

Y''' = (-6, 10)

Z''' = (2, -14)

d) Translation 2 Up and 5 to the Left

The rule of this transformation is:

(x, y) to (x -5, y + 2)

So, we have:

X'''' = (3, 6)

Y'''' = (-11, 12)

Z'''' = (-3, -12)

Hence, the image of the points are:  (3, 6), (-11, 12) and  (-3, -12)

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Related Questions

Which of the following expresses a potential difficulty with preference ballots?

Preference ballots only list one candidate per elected position.

Preference ballots are seldom used and difficult to produce.

The results of preference ballots can be time-consuming to compile.

It is easy to commit voter fraud by falsifying preference ballots.

Answers

The results of preference ballots can be time-consuming to compile

The potential difficulty with preference ballots expressed in the given options is: The results of preference ballots can be time-consuming to compile.

What is preference ballot?

A preference ballot is a type of ballot used in elections where voters indicate their order of preference for the candidates or options listed on the ballot.

Instead of simply selecting one option, voters rank the options in order of their preference, usually by indicating a first-choice, second-choice, and so on.

Preference ballots require more complex calculations to determine the winner, especially when there are more than two candidates. This can result in delays in announcing the results and can be time-consuming to compile.

Thus, this can result in delays in announcing the results and can be time-consuming to compile.

For more details regarding preference ballots, visit:

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i dont understand this one

Answers

Answer:

C = 14[tex]\pi[/tex], A = 49[tex]\pi \\[/tex].

Step-by-step explanation:

C = Circumference, A = Area

So, the Circumference is 14[tex]\pi[/tex] and the area is 49[tex]\pi \\[/tex].

Hope this helps :)

What is the radius and diameter of the following circle?
14 cm

Answers

Answer:

Diameter : 14 cm

14÷2=7

Radius : 7

Step-by-step explanation:

Diameter is two time the Radius

pls quick The cost of 10 ounces of cheese is 99 cents. What is the price of 10 pounds of cheese in dollars?

Answers

the cost in dollars is $15.84

Answer:

Step-by-step explanation:

The answer is $15.84

I need help I'm stuck ?

Answers

[tex]v = \frac{4}{3} \times \pi \times ({ \frac{8}{2} })^{3} \\ [/tex]

[tex]v = \frac{4}{3} \times 3 \times {4}^{3} \\ [/tex]

[tex]v = {4}^{4} [/tex]

[tex]v = {2}^{8} [/tex]

[tex]v = 256 \: \: {cm}^{3} [/tex]

A line parallel to the graph of (y − 4) = m(x − 7) passes through (−1,−2) and (m, 10). If
m > 0, what is the value of m?

Answers

Answer:

Step-by-step explanation:

Givens

These are the givens for the second line. The second line also has m (same value) as the x coordinate of one of the points. I'm not sure why you are given the first line.

x1  = - 1

x2 = m

y1 = - 2

y2 = 10

Second line formula for m

m = (y2 - y1) / (x2 - x1)            Substitute values for this equation

Solution

Note that the m you seek is both the slope of the second line, and the x  coordinate of one of the points.

m = (10 -  - 2) / (m - - 1)           Change the double minus, and combine

m = 12 / (m + 1)                       Multiply both sides by (m + 1)

m(m+1) = 12                             Remove the brackets

m^2 + m = 12                          Subtract 12 from both sides.

m^2 + m - 12 = 0                    Factor

(m + 4)(m - 3) = 0

We are told that m >0

So m- 3 = 0

m = 3

Answer

The value for m = 3. The first line also has a slope of 3

help me ??????? please

Answers

Answer:

58%

Step-by-step explanation:

vertical angles are always the same

Write your answer as a fraction or as a whole or mixed number.
27pts

Answers

What we know:

Bird feeder capacity:             -->  2 4/5 cupsSamantha's scoop capacity: -->  7/10 cups

Lets first convert the mixed partial fraction --> improper fraction

       --> for easier calculation

After Conversion:

Bird feeder capacity:             -->  14/5 cupsSamantha's scoop capacity: -->  7/10 cups

To find how many scoops of birdseed will Samantha put into the feeder we must:

  --> divide the total capacity by the scoop's capacity

       --> find the number of scoops:

Solve:

  [tex]Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4[/tex]

Thus the total number of scoops that Samantha will put into the bird feeder is 4

Answer: 4

Hope that helps!

Find the surface area of the figure.

Answers

Answer:

[tex] {108in}^{2} [/tex]

Step-by-step explanation:

to get the surface area of a pyramid you must take half of the product of the perimeter times the slant length and THEN add the area of the base to the total.

In this problem, the perimeter is 24. Slant height is 6, and area of the base is 36

1/2(24*6)+36= 108

If this answer helped you, I would appreciate it if you gave me the brainliest :D

I NEED HELP ASAP find the lateral area and surface area of a triangular prism (a, 12^{2} 15^{2}) the height is 20. PLEASE HELP

Answers

Answer:

Step-by-step explanation:

 Find the length of the third side. If necessary, write in simplest radical form.

IMAGE DOWN BELOW!

SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

third side = 6

using pythagoras theorem:

a² + b² = c²

5² + (√11)² = c²25 + 11 = c²36 = c²c = √36c = 6

Answer:

The length of the third side is 6 units

Step-by-step explanation:

We know that this is an right angled triangle , so

by using Pythagoras theorem we can find out the third side of the triangle ..

=> P² + B² = H²

=> 5² + (√11)² = H²

=> 25 + 11 = H²

=> 36 = H²

=> √36 = H

=> 6 = H

A closet is in the shape of a rectangular prism. It is 214feet long, 3 feet wide, and 4 feet tall.

What is the volume of the closet?

Answers

Putting each of these lengths into the volume equation (length×width×height)…
214×3×4=2568
Therefore the volume is: 2568ft³

Prove that AABE = ADCE, given that AE = DE, BE CE, with the same vertex measure ZE.​

Answers

Answer:

I don't understand the question

Jevator has a weight limit of
7. There are 3 people inside
An elevator has a weight limit of 1 ton there are 3 people inside the elevator Each person weighs 150
pounds. How many more
Pounds can the elevator safely hold?
450 pounds
850 pounds
1,550 pounds
1,850 pounds

Answers

Answer:

i think it would be 1550?

Step-by-step explanation:

im pretty sure you add teh weight of the three people and convert it to one ton

For circle h, jn = 3, nk = x, ln = 2, and nm = 6. solve for x. circle h with chords jk and lm intersecting at n inside the circle 9 1 5 4

Answers

The circle is an illustration of intersecting chords.

The value of x is 4

How to determine the value of x?

The given parameters are:

Chords: jk and lmPoint of intersection = njn = 3, nk = x, ln = 2, and nm = 6

This means that:

jn * nk = ln * nm

So, we have:

3 * x = 2 * 6

Divide both sides by 3

x = 2 * 2

Evaluate the product

x = 4

Hence, the value of x is 4

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What is the value of D?
5/6 = 1/3 + D

Answers

Answer:

1/3=2/6  d is 2/6

Step-by-step explanation:

Expand and simplify (4x−3y)(6x−5y).

Answers

Answer:

24x^2+15y^2-38xy

Step-by-step explanation:

(4x-3y)(6x-5y)

= 24x^2-20xy-18xy+15y^2

=24x^2+15y^2-38xy

What is 100 x 96 x 44?

Answers

Answer:

Step-by-step explanation:

100×96×44=100×(100-4)×44

=100×[100×44-4×44]

=100×[4400-176]

=100×4224

=422400

Answer:

422400

Step-by-step explanation:

100

x96

-------

9600

x44

----------

38400

+384000

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

422400

What’s the distance between the points (-3,10)and(6,-2)

Answers

Answer:

i think its 20

Step-by-step explanation:

Equation 1
y = 5x + 32
Equation 2
4y = 28x + 184
First solve for X.

Answers

Equation 1: x= 1/5y + -32/5
Equation 2: x= 1/7y + -47/7

There are a total of 165 dogs and cats waiting for homes at the Grand Strand Humane Society. The number of cats is 24 less than twice the number of dogs.
Part A: Identify both variables you are using, then write equations to represent both situations
Part B: How many dogs and cats are waiting to be adopted in the shelter? You must show work. Write your answer in the form of a sentence

Answers

Answer:

Part A

Let d = number of dogs

Let c = number of cats

Given:

total of 165 dogs and cats

⇒ d + c = 165

Given:

The number of cats is 24 less than twice the number of dogs

⇒ c = 2d - 24

Part B

Substitute  c = 2d - 24  into  d + c = 165  and solve for d:

⇒ d + 2d - 24 = 165

⇒ 3d - 24 = 165

⇒ 3d = 189

⇒ d = 63

Substitute found value of d into  d + c = 165  and solve for c:

⇒ 63 + c = 165

⇒ c = 102

Therefore, 63 dogs and 102 cats are adopted in the shelter.

Diego has budgeted $80 from his summer job earnings to buy gear for baseball. He needs a new mitt and new baseballs. The
mitt he wants cost $38. Each pack of baseballs cost $3.50.
A. Write an inequality that represents x, the number of packs of baseballs, that Diego can buy if there is no tax.

Answers

Answer:

X=^3.50
X=3/50
X=350<3.50>
Y= 2C/U-
es igual a Yx^2

Step-by-step explanation:

coronita plisss

Write an equation for a quadratic function in vertex form with a vertex of (3,1) that has the point
(1,5).

Answers

Answer:

y = (x - 3)² + 1

Step-by-step explanation:

the equation of a quadratic function in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute (1, 5 ) into the equatiuon

5 = a(1 - 3)² + 1 ( subtract 1 from both sides )

4 = a(- 2)² = 4a ( divide both sides by 4 )

1 = a

then equation of quadratic function is

y = (x - 3)² + 1

What is the value of the exponential expression 24?
O A. 8
B. 32
O C. 64
O D. 16

Answers

Answer:

16

Step-by-step explanation:

2^4 is the same thing as 2*2*2*2*2. 2 times 2 is 4, times 2 is 8, times 2 again is 16.

8) What is the volume of the triangular prism?
A) 15 mm
B) 18 mm
C) 24 mm
D) 30 mm

Answers

D) 30 mm

should be it!! GL:)

The the volume of the triangular prism is 30mm so D

I need this answered please

Answers

Answer:

domain: ( 3,6,6)

range : (b,a,d)

15 days ago, the share of the Valmont family business was worth $156. Over the next 5 days, the stock value increased by $3 per day. Then its value went down by $5 a day for 10 days.

What is the value of the stock today?

Using Order of Operation
please answer i need it today :'(​

Answers

Answer:

compute the company's price-to-earnings (P/E) ratio.

Step-by-step explanation:

When companies issue additional shares, it increases the number of common stock being traded in the stock market. For existing investors,

y = 3x + 1 -x + 2y = -3 solve system of equation by elimination

Answers


Question: y = 3x + 1 -x + 2y = -3
Answer:
x=1
y=-3


A, B and C are points on the line 2x+y=8

DCE is a straight line.
AB:BC=2:1
EC:DC=1:2

Work out the ratio Area of triangle AEC : Area of triangle BCD

Give your answer in its simplest form.

Answers

The ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have line;

2x+y=8

x/4 + y/8 = 1

Coordinate for A(4, 0) and B(0, 8)

To find the coordinate C we will use external section formula:

Let (a, c) be a coordinate for C

AB : BC = 2:1

AC:BC = 3:1  

[tex]\rm C(a, b) =( \dfrac{-4}{3-1}, \ \dfrac{24}{3-1})[/tex]

C(a, b) = (-2, 12)

Let coordinate for E(0, e) and for D(f, 0)

EC:DC=1:2 and C(-2, 12)

So after applying section formula, we will get:

E(0, -3) and D(0, 36)

Area of triangle AEC = (1/2)(7)(12) = 42 square units

Area of triangle BCD = (1/2)(28)(2) = 28 square units

ratio of area of triangle AEC : area of triangle BCD = 42:28

= 21:14

Thus, the ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8

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Write an expression that I’d equivalent to 1/2a - 4. URGENT, LIMITED TIME.

Answers

Answer:

1/2(a-4)

Step-by-step explanation:

first blank is 1/2 and second is 4.

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