Triangle BCD With Vertices B(4,4), C(8, 14), And P(12, 0); K = 1/4

Answers

Answer 1

Answer:

Hello, I am not sure if you mean a dilation by 1/4. If it is, this will be the answer:

B (1, 1)

C (2, 3.5)

D (3, 0)

Step-by-step explanation:

Just divide each number by 4. B (4, 4) = B (4/4, 4/4) = B (1, 1)

Continue to do this for each coordinate set given.

Hope this helps!

Answer 2

The vertices of triangle B'C'D' are:

B'(-1, -1/2)

C'(0, 2)

D'(1, -3/2)

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To find the vertices of triangle B'C'D', which is a dilation of triangle BCD with center at the origin and a scale factor of 1/4,

We can follow these steps:

Find the coordinates of the centroid of triangle BCD.

The coordinates of the centroid G are:

[tex]x_G = (x_B + x_C + x_D) / 3 = (4 + 8 + 12) / 3 = 8[/tex]

[tex]y_G = (y_B + y_C + y_D) / 3 = (4 + 14 + 0) / 3 = 6[/tex]

Translate triangle BCD so that its centroid is at the origin.

We can do this by subtracting the coordinates of the centroid from the coordinates of each vertex:

B(4, 4) → [tex]B_1(4 - 8, 4 - 6) = B_1(-4, -2)[/tex]

C(8, 14) → [tex]C_1(8 - 8, 14 - 6) = C_1(0, 8)[/tex]

D(12, 0) → [tex]D_1(12 - 8, 0 - 6) = D_1(4, -6)[/tex]

Dilate the translated triangle [tex]B_1C_1D_1[/tex] by a scale factor of 1/4.

To do this, we can multiply the coordinates of each vertex by 1/4:

[tex]B_1[/tex](-4, -2) → B'(-4 x 1/4, -2 x 1/4) = B'(-1, -1/2)

[tex]C_1[/tex](0, 8) → C'(0 x 1/4, 8 x 1/4) = C'(0, 2)

[tex]D_1[/tex](4, -6) → D'(4 x 1/4, -6 x 1/4) = D'(1, -3/2)

Therefore,

The vertices of triangle B'C'D' are:

B'(-1, -1/2)

C'(0, 2)

D'(1, -3/2)

Learn more about triangles here:

https://brainly.com/question/25950519

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Related Questions

Will Mark Brainliest If Correct Answers! Need Some Help Please

Given the expression: 4x10 − 64x2

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

Answer:

Step-by-step explanation:

a) 4x¹⁰ = 2² * x¹⁰

   64x² = 2⁶ *x²

GCF = 2² * x² = 4x²

b) 4x¹⁰ - 64x² = 4x²*(x⁸ - 16)

                  =4x² *[ (x⁴)² - 4²]

                  = 4x² * (x⁴ + 4) (x⁴ - 4)

                  = 4x² * (x⁴ + 4)* [(x²)²- 2²]

                  =4x² * (x⁴ + 4) * (x² + 2)(x² - 2)

                 

Topic: Linear Equations in the Coordinate Plane
Question: Graft the function y = x + 2

Answers

Answer:

9

Step-by-step explanation:

0

Please whoever knows they can solve this, help!

I have attached the question down below. Please explain in detail and diagrams if the question permits you to do so. Thank you. I will also be marking the brainiest.

Answers

I can’t see the question I think you forgot to upload it
explanation:

Answer:Can't see the question

Step-by-step explanation:

Dave and Bill were shooting free throws. Dave MADE 7 out of 15 free throws. Bill MISSED 6 out of 10 free throws. Who made the greatest fraction of free throws?

Answers

Answer:

Bill

Step-by-step explanation:

Bill-6/10=0.6 Dave-7/15=0.46

Bill has a greater average. Hence, Bill has the greater fraction.

Bill had a greater average

Determine the length of AB¯¯¯¯¯¯¯¯. Write your answer in simplest form.

pls help i need the answer soon

Answers

Answer:

[tex]x = 2.4[/tex]

Step-by-step explanation:

Step 1:  Find the length of AB

[tex]\frac{ED}{EA} = \frac{EC}{EB}[/tex]

[tex]\frac{15}{12} = \frac{18}{12+x}[/tex]

Cross Multiply

[tex]15(12+x) = 12(18)[/tex]

Distribute

[tex](15*12)+(15*x) = 216[/tex]

[tex]180 + 15x = 216[/tex]

Divide

[tex]15x / 15 = 36 / 15[/tex]

[tex]x = 2.4[/tex]

Answer:  [tex]x = 2.4[/tex]

X=2.4 yeah because you know

Find f'(x) (the derivative of f(x)) if f(x) = 7x'3 - 2x'2 + 4x - 5.
Option A: 21x^2-4x+4+C
Option B: 21 x^2-4x+4-5
Option C: 21 x^2-4x+4
Option D: 21x^2-4x+4-5/x

Answers

that would be the correct answer

IM SO SORRY PLEASE HELP ME!!!

Answers

Answer:B,D i think that's it

Step-by-step explanation: lmk if it was right or wrong

D for sure, and maybe E

What does this mean "Go from -2
What is this -2

Answers

Answer:Go from -2 means starting from -2 you should start or begin. -2 is an integer before 0. It also means negative 2.

if you right a timeline you will under stand it as -2 to 2 ( whole number ) the

A person standing on a moving walkway travels 75 feet in 25 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?

Answers

I found someone with the same question as you, good luck !
the person is travel 3 feet per second. and they will travel 30 feet in 10 seconds.

HURRY IM TIMED!! which inequality is represented by this graph?

Answers

Answer:

x<6 this is the answer because the circle is hallow (not including) and going left (less than)

Answer:

x<6

Step-by-step explanation:

Look at the way the blue arrow is pointing that means less than and the circle is open so it is not equal to the number 6.

Yes now just solve this for brainliest unless your a copy ;)

Answers

Answer:

-30 - 6 = -36

-36/-4 = 9 So it wouldnt work

0 - 6 = -6

-6/-4 = 1.5 It won't work

-48 - 6 = -54

-54/-4 13.5 Wouldn't work

-18 - 6 = -24

-24/-4 = 6

Looks like -18 is the answer

-18 Is the answer :D

Answer:

-18

Step-by-step explanation:

Just try all of them. I started bottom up.

-18 - 6 / -4 = -24 / -4 = 6

YOU BEST MARK ME THE BRAINLIEST. I got them brains.

This table shows some college costs. How much more is tuition than the cost of fees and room and board? (table pic attached)

Answers

Answer:

7x +72

Step-by-step explanation:

Tuition - (room and board)

8x+75 - ( x+3)

Distribute the minus sign

8x+75 - x-3

7x +72

8x+3 = (x) =12 because if 8x + 75 means that x alone will still be 8 the x + 3 +5 =16

Write a ratio and a percent for the shaded figure.

Answers

Total Squares = 10 × 10

= 100

Shaded Squares = 100 - (6×6)

= 64

Non Shaded = 6 × 6

= 36

Now Ratio of shaded portion is 64:100

= 16:25

Percentage = 64/100 × 100

= 64%

Answered by Gauthmath must click thanks and mark brainliest

64 and 100 i hope it’s right I’m sorry

HELP PLEASE! Write and solve the equation: The squares are identical. What is the area of each square?

Answers

If a=4:

HOW TO FIND THE AREA

A=4a (formula)

A=4*4

A=16

If it's 100:

A=4*100

A=400

Answer:

They are congruent, simple.

Step-by-step explanation:

Perry saved 4 twenty-dollar bills, 2 ten-dollar bills, 3 dimes, and 2 pennies. Before winter break, he bought a new racing video game for $49.86. How much money did Perry have left?

Answers

Answer:

[see answer below]

Step-by-step explanation:

"Perry saved 4 twenty-dollar bills, 2 ten-dollar bills, 3 dimes, and 2 pennies."

4 * 20 = 80

2 * 10 = 20

3 * 0.1 = 0.3

2 * 0.01 = 0.02

80 + 20 + 0.3 + 0.02 = $100.32

100.32 - 49.86 = 50.46

Hope this helps you.

Answer:

$50.46

Step-by-step explanation:

PLZ HELPPPP!!! WILL GIVE BRAINLIEST! TYSM!!

Find the arc length of the semicircle.
Either enter an exact answer in terms of π (pi) or use 3.14 and enter your answer as a decimal.

Answers

Answer:

6 pi

Step-by-step explanation:

The arc length is 1/2 of the circumference

C = pi * d

So the arc length is 1/2 C

arc length= 1/2 ( pi *d)

                = 1/2 pi(12)

                = 6 pi

6pi
shshdhnddbdndbdbdb

A coordinate grid with 4 lines. Line A passes through (0, 5) and (4, 3.75). Line B passes through (3.75, 0) and (0, negative 5). Line C passes through (0, negative 5) and (negative 3.75, 0). Line D passes through (negative 3.75, 0) and (0, 5).
Which line represents the linear equation
–3y = 15 – 4x?

The equation –3y = 15 – 4x rewritten in slope-intercept form is

Answers

Answer:

C

Step-by-step explanation:

im pretty sure

Answer:

9

Step-by-step explanation:

Math problem for high school

Answers

Answer:

50/3

Step-by-step explanation:

area of triangle = 10

area of circle = 10

area of triangle + area of circle = 20

The white sector of the circle has central angle 60°.

Its area is 1/6 the area of the circle.

To find the gray area, you must subtract the white area from the area of the circle and also subtract the white area from the area of the triangle. Two times the white area is 1/3 the area of the circle.

gray area = 20 - (1/3)10

gray area = 20 - 10/3

gray area = 60/3 - 10/3

gray area = 50/3

Answer:

The white sector of the circle = (1/6) (10) = 10/6 = 5/3

So....the grey area = 10 + 10 - 2 (5/3) = 20 - 10/3 = 60/3 - 10/3 = 50 / 3

MARK BRAINLIEST

Please help these are the last ones I need I will mark you as brainliest if you answer them correctly! Ty

Answers

‏Which of the following statements is generally true about change in the workplace ? a ) Most people accept change easily . b ) Smart companies can avoid change altogether . c ) Change in the workplace happens fairly infrequently d ) Individuals can learn to manage the change in their lives .

What is the y-intercept, end behavior and zeros of this polynomial function?

g(x) = (x + 2)(x − 1)(x − 2).

Describe the direction of the parabola and determine the zeros and y-intercept.

f(x) = (x – 3)(x – 2).

WILL MARK BRAINLIEST IF BOTH ANSWERS ARE CORRECT

Answers

Answer:

To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph.

Step-by-step explanation:

mark it as brainlist

Give me brainliest !!!!!

For the first one:
Y int- (0,4)
Find the zeros- x= -2, 1, 2


Second one:
Find the zeros- x= 3,2
Y int- (0,6)


(First pic is end behavior for g(x)=(x+2)(x-1)(x-2)….. second pic is direction of parabola for f(x)=(x-3)(x-2) hope this helped :)

PLEASE HELP! If 2580 people watched one show and 2920 people watched another show. How many people need to watch the third show for there to be a 3000 people average attendance per show?

Answers

Answer:

3480

Step-by-step explanation:

Set it up so it looks like this.

(2580 + 2930 + x )/3 = 3000                Combine the terms on the left

(5510 + x) / 3 = 3000                              Multiply by 3

5510 + x = 9000                                    Subtract 5510

x = 9000 - 5510

x = 3490

Does that really work?

2580 + 2930 + 3490 = 9000

Which says it does work.

2,500 (maybe)

1st show=2580
2nd show=2920
Add(+)=5,500

1st and 2nd show=5,500
Average ppl=3000
Subtract (-)= 2,500

Answer:2,500 people

Mrs. Singh made 372 cookies to put in gift boxes. She will put 20 cookies in each box. How many cookies will be left over?

Answers

Answer:

12

Step-by-step explanation:

372 : 20 = 18 (rest 12)

check

18 * 20 + 12 = 372

12 will be left over.
20 times 18 = 360
372-360 = 12

HELP I ONLY HAVE 5 MINUTES LEFT

Answers

Answer:

i=13

Step-by-step explanation:

i = 13 because it does

In triangle JKL, angle JKL is a right angle, KM and is an altitude. JL=8 and JM=2, find JK

Answers

Answer:

4

Step-by-step explanation:

I could be wrong, but I think it's 4. as JL divided by JM equals 4. Like I said, I could be wrong, but it's worth a shot.

Answer:

4?

Step-by-step explanation:

Last month David, a sales representative, sold $5000 worth of medicines and received a commission of 30% on his sales. How much money did David earn as commission last month?
A.$3,000
B.$2,000
C.$1,500
D.$1,000

Answers

Answer:

C.

Step-by-step explanation:

30% of 5,000 is 1,500.

C is the answer cause 30% of 5000 is 1500

1/3(3x-6)=2x please help

Answers

Answer:

-2

Step-by-step explanation:

In the picture

Answer:

x = -2

Step-by-step explanation:

1/3(3x - 6) = 2x

3x - 6 / 3 = 2x

9x - 6 = 6x

3x = -6

x = -2

6^14 y^8/6^9 y^3 = ???

Answers

Answer:

Step-by-step explanation:

Es cero

Answer:

I think its 7776v^11

Step-by-step explanation:

Mind uh... Answering my question?

Answers

Answer:

12 ounces

Step-by-step explanation:

[tex]3 \div 4 \\ = 0.75 [/tex]

1 pound = 16 ouncesmultiply the mass value by 16.

[tex]0.75 \times 16 \\ = 12[/tex]

Hope it is helpful....

Answer:

12 ounces

Step-by-step explanation:

PLEASE HELP!
What is the length of the shortest altitude in a triangle, if the lengths of the sides are 15 cm, 17 cm, 8 cm. Write answer in a common fraction in reduced form.

Answers

7.06 is the answer!!!!!
7.06 should be the answer

There is a blueprint for a house that is a scale drawing for the entire house. One part of the house has a triangular base. The drawing of the width of the triangle is 4cm and the length is 6cm. If the width of the actual triangular structure is 18cm, what is the length and the area of the triangular structure?

Answers

Answer:https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/scale-drawing-example-2

Step-by-step explanation:

this with help

Answer:

0

Step-by-step explanation:

99

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