Triangle ABC has vertices A(0, 6), B(-8, – 2), and
C(8, – 2).

A dilation with a scale factor of 1/2 and center at the origin is
applied to this triangle.

What are the coordinates of B' in the dilated image?

Enter your answer by filling in the boxes.

B' has a coordinate pair of ( )

Answers

Answer 1

Answer:

B' has a coordinate pair of (-4, -1)

Step-by-step explanation:

We are given with the vertices of the triangle with B(-8,-2)

Please remember the rule of dilation

If a point (x,y) dilated for the scale factor of 'k', we do get image as (kx,ky)

Using this concept, we know scale factor is [tex]\frac{1}{2}[/tex] , we could get image as [tex](\frac{1}{2} (-8), \frac{1}{2} (-2))[/tex]

Let's simplify it

We do get (-4,-1)


Related Questions

PLEASE HELP!! A circle is divided into three central angles that have measures in the ratio 2:13:15. find the measure of the largest angle.

Answers

Answer:

First angle = 24'

Second angle = 156'

Third angle = 180'

Step-by-step explanation:

Given:

Ratio of circles angle = 2:13:15

Find:

All three angle

Computation:

Sum of all angle from center = 360'

So,

First angle = 360[2/(2+13+15)]

First angle = 360[2/(30)]

First angle = 24'

Second angle = 360[13/(2+13+15)]

Second angle = 360[13/(30)]

Second angle = 156'

Third angle = 360[15/(2+13+15)]

Third angle = 360[15/(30)]

Third angle = 180'

What is m∠G to the nearest tenth?

Answers

Answer: The answer is 133.4 degrees.

Sorry if it’s wrong, and hopes this is helps.

The measure of the angle ∠G to the nearest tenth will be 31.6°.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The length of the perpendicular is 28.2 units and the length of the base is 45.8 units, Then the measure of the angle ∠G is calculated as,

tan G = Perpendicular / Base

Substitute the value, then the angle is given as,

tan G = 28.2 / 45.8

tan G = 0.6157

G = 31.6°

The measure of the angle ∠G to the nearest tenth will be 31.6°.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

Let's start form the product `x^{2}+11x+30,` and get back to the binomials we started with. Show your steps.

Answers

Answer:

Then, the polynomial [tex]x^{2}+11\cdot x + 30[/tex] is equal to the product of the binomials [tex](x+5)[/tex] and [tex](x+6)[/tex].

Step-by-step explanation:

The polynomial [tex]x^{2}+11\cdot x + 30[/tex] is a polynomial of the form [tex]x^{2} - (r_{1}+r_{2})\cdot x + r_{1}\cdot r_{2} = (x-r_{1})\cdot (x-r_{2})[/tex], where [tex]r_{1}[/tex] and [tex]r_{2}[/tex] are the roots of the polynomial. Then, we find the following system of equations:

[tex]-r_{1}-r_{2} = 11[/tex] (1)

[tex]r_{1}\cdot r_{2} = 30[/tex] (2)

After some algebraic handling, the solution of this system is [tex]r_{1} = -5[/tex] and [tex]r_{2} = -6[/tex].

Then, the polynomial [tex]x^{2}+11\cdot x + 30[/tex] is equal to the product of the binomials [tex](x+5)[/tex] and [tex](x+6)[/tex].

Michaela and Dema each multiplied 1/3 x 4/3. Michaela got 4/9 and Dema got 5/6. Which student found the correct​ answer? EXPLAIN

Answers

Answer: Michaela's answer

Step-by-step explanation:

Dema added the numbers together

help me please! it would help so much! ill mark you brainliest if you're correct :)

Answers

Answer:

Chinese people live in harmony with nature.

I hope it helped!

 WHO KNOWS FUNCTIONS AND ALL THAT PLZZZ HELP ME ASAP I REALLY NEED IT PLZZ

Answers

the last set because a function can’t have the same two x values

Can you help me fast and show work plsssss I need it now

Answers

I don’t see any work, sorry.

Whats the answer to this?

Answers

Step-by-step explanation:

area of figure = 5x² + 3

plz mark my answer as brainlist plzzzz.hope this will be helpful to you if you find it useful ☺️

Factor completely x2 - 4x - 12

A. Prime
B. (x - 2)(x - 6)
C. (x + 2)(x - 5)
D. (x - 2)(x + 6)

can you explain how to do it? ​

Answers

Answer:

(x-6)(x+2) D

Step-by-step explanation:

first you need to see which two numbers add up to -4 and multiply to -12 which is -6 and 2

pls help asap!! will give brainliest

Answers

Answer:

i believe the answer is A 90

Step-by-step explanation:

ABCD is a kite. Solve for x.

Answers

ANSWER IS X=6.
If you plug in the value of X as option 2. X equals six. Plug in the value of X which is six into the equation and it should give you the answer 15 equals 15. I typed it in using photo math. Hope this help.

Plzzzzzzzzzzzzzzzz helllppppppp meeeeeeeeee

Answers

Answer:

-1

Step-by-step explanation:

5 to the 2nd power is the same as 5 times 5... so, 24 - 25 is -1.

Can anyone help me please ?

Answers

3 I’m not entirely sure though

A basketball backboard set that sold for $79 is discounted 15% what is this sale price

Answers

Answer: $67.15

Step-by-step explanation:

Solve the simultaneous equation
Log(x-1)+2 log y=2 log 3
Log x + log y = log 6

Answers

Answer:

x = 2, y = 3

Step-by-step explanation:

Log x + log y = log 6         Log xy = Log 6            xy = 6

y = 6/x

Log(x-1)+2 Log y=2 Log 3

Log(x-1) = 2 Log 3 - 2 Log y = Log 3² - Log y² = Log 9 - Log y² = Log (9 / y²)

x - 1 = 9/y²

x - 1 = 9 / (6/x)² = 9 /(36/x²) = x²/4

4x - 4 = x²

x² -4x + 4 = 0

(x-2)² = 0

x = 2

y = 6/x = 3

help pls i don't know how to solve this

Answers

Answer:

x = - 8 and (- 8, 0 )

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the equation of the axis of symmetry which is also the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 16x + 64 ← is in standard form, with

a = 1 and b = 16, then

x = - [tex]\frac{16}{2}[/tex] = - 8

Equation of axis of symmetry is x = - 8

Substitute x = - 8 into the quadratic and evaluate for y

y = (- 8)² + 16(- 8) + 64 = 64 - 128 + 64 = 0

vertex = (- 8, 0 )

HELP!!! Which is a solution to the equation?

(x −2)(x + 5) = 18

x = −10
x = −7
x = −4
x = −2
Mark this and return

Answers

Answer:x=-7

Step-by-step explanation:

Step-by-step explanation:

I'm not sure it's probably x=-2

Jan's pays a monthly fee, ​f​, for a gym membership. Complete the equation to represent the cost, ​c​, of Jan's gym membership for 12 months?

Answers

The answer is f for a gym membership

Can someone Please help Ill mark brainliest.

Answers

R x-coord: 0 y-coord: 2
S x-coord: 0 y-coord: 4

What is an equivalent expression for 2s+(-4s) and what are way for me to remember how to do equations like these

Answers

(5-7s)+(-8s).........

A river guide buys protein bars and bottles of water for participants on a rafting trip. Including taxes, the river guide pays $ 2.50 for each protein bar and $ 1.25 for each bottle of water, spending a total of exactly $ 22.50 . Which combinations of protein bars and bottles of water are possible for the given amounts? Select ALL that apply.

Answers

Answer:

Step-by-step explanation:

2.50   for water

1.25     for protein bar   interesting that is exactly half of the water

22.50   exactly was spent

I couldn't come up a slick equation, so I just applied some logic and used brute forced (trail and error) to solve the problem.

2.5Water + 1.25Protein =   22.5  

      8W     +           2P    =   22.5

      6W     +           6P    =   22.5

      4W     +          10P    =   22.5

      2W     +          14P    =   22.5

There are the possible combinations of both protein bars AND water, since he bought both.  He could have also bought 10 water or 18 protein bars, but that is not part of the combination.

FIND THE 2 MISSING Y VALUES (brainliest)

Answers

Answer:

first blank 8, 2nd blank 12

Step-by-step explanation:

plug X into the equation to find y

y = -4(-2) = 8

y = -4(3) = -12

how many times can 10 go into 111? lol i need help

Answers

Answer:

11.1 times

Step-by-step explanation:

Answer:

11 times

Step-by-step explanation:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110

3. An ELA test is worth 100 points. There are a total of 26 questions. They are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question are there? *

Answers

Answer:

There are 10 two point questions and 16 five point questions.

Step-by-step explanation:

x = the number of 2 points questionsy = the number of 5 points questionsx + y = 262x + 5y = 100x = 10 two points questionsy = 16 five points questions

I need help with my math homework it’s overdue someone please please help me

Answers

Answer: 2.5833

Step-by-step explanation:

K = 1/4 or .25

3/5 = .6

3 - 0.25 / .6 = 2.5833

Simplify. Write your answer without parentheses

Answers

Answer:

y^20

Step-by-step explanation:

It would be y to the 20th

Can some one plz help me

Answers

Answer:

Step-by-step explanation:

A is midpoint of DB

DA ≅ AB  ------------------(I)

B is midpoint of AE

BE≅ AB ---------------(II)

From (I) & (II)

DA ≅ AB    

∠D ≅ ∠E                Given

CD ≅  CE               {Sides opposite to equal angles are equal}

ΔCDA ≅ ΔCEB     { S A S congruent}

Answer:

AB = BA                            reflexive property

AB = BE and DA = AB     definition of midpoint

then DA = EB                            

CD = CE                           ΔCDE is isosceles

ΔCDA ≅ ΔCEB                SAS

Step-by-step explanation:

ABCD is a rhombus. If AB = 2x + 12 , AC = 7x - 3, ∠=12°, and ∠= (4y - 1)°.

CD = __ .

Answers

Answer:

Step-by-step explanation:

ABCD is a rhombus. If AB = 2x + 12 , AC = 7x - 3, ∠=12°, and ∠= (4y - 1)°.

CD = __ .

Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level. What expression shows how much farther Adam can see to the horizon? In simplest terms, Adam can see a√b feet farther than Pam.

Answers

Answer:

B

A=2

B=6

Step-by-step explanation:

The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.

Calculation of the expression:

Since

Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level.

So here the expression be like The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.

Learn more about an expression here: https://brainly.com/question/4700495

Uriel's hiking stick is 3 2/3 feet long, and Nat's is 3 3/8 feet long. Whose walking stick is longer and by how much?

Answers

Answer:

Uriel's stick is LONGER by 7/24 feet

Step-by-step explanation:

Uriel's hiking stick is 3 2/3 feet long, and Nat's is 3 3/8 feet long. Whose walking stick is longer and by how much?

The above question is solved as

Uriel's stick - Nat's stick

= 3 2/3 feet - 3 3/8 feet

= 7/24 feet

Hence, Uriel's stick is LONGER by 7/24 feet

Other Questions
Simplify the sentence by eliminating any wordiness or redundancies. During the time when I lived in Southern California, it was my intention to go visit Disneyland. What does the eyewitness primarily describe in thispart of her testimony?-the efforts to fool prisoners at a Nazi prison camp-the separation of prisoners at a Nazi death camp-the manner in which prisoners were executed at aNazi death camp-the inhumane way that prisoners were washed ata Nazi prison camp The answer is c :) have a good day 10. Multiply the following numbers using scientific notation. show the steps. (See Ex. 5) (2 x 103)(3 x 104).11. Divide the following numbers using scientific notation. Show the steps as they are done in the lesson. (See Ex. 6) -42 x 102 14 x 103 How does the Nelson v. Colorado case relate to the Bill of Rights? which destinations on the silk road were reached by water ? A teacher buys a fruit cup for $1.50 and a calculator for $13.75 for each student in their classroom. The teacher spends a total of $579.50 for all of the fruit cups and calculators. How many students are in the teacher's class? Please help I need to finish this ASAP 30 POINTS I NEED HELP PLZ waterairmultiple cellsa place to live A Random survey of 25 students in each grade level of school was conducted to determine whether the students preferred to have less time between classes. The results are shown in the table convert 8^12 = 3x - 5 to corresponding logarithmic function.If you could please explain how you got it thank you. Which pair or pairs of polygons are congruent?2624-2220-18pair 116pair 21412-10-86-4pair 3 Duration measures Group of answer choices weighted-average time until a bond's half-life. weighted-average time until cash flow payment. the time required to make excessive profit from the investment. weighted-average time until a bond's half-life and the time required to make excessive profit from the investment. weighted-average time until cash flow payment and the time required to make excessive profit from the investment. Please help me...Justins tricycle wheel travels about 57 inches in 1 full rotation. What is the diameter of the wheel, to the nearest inch? 7. Which of the following best represents the area of the trapezoid below? 1 point17 cm7.2cm6.5 cm11 cmA. 182 cm squaredB. 91 cm squaredC. 100.8 cm squaredD. 201.6 cm squared Find the measures of the interior angles of the triangle Milhouse returned the computer when ---- speakers started malfunctioning. its or it's In a Mathematics test,Alex got 80% of the question correct. He got 40 questions correct. Each question on the paper carried 3 marks. How many marks did he lose in that test ? A shape is made of 9 right triangles of equal size and three identical rectangles.Each rectangle measures 7 mm wide by 3 mm high. The rectangles are each7 mm wide by 3 mm high. What is the total area, in square millimeters,of the shape? thank you in advance PLEASE HELP WILL MARK BRAINLIEST (not if you get it wrong)