WILL FAN AND MEDAL!! Dilation problem!!!Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. If M = (2, 4) and N = (3, 5), what is the slope of line M'N'?

Answers

Answer 1
Answer:

Answer:

Slope of line M'N' is 1.

Step-by-step explanation:

Given: M= (2,4) and N = (3, 5) ; K = 0.8

The rule of dilation with origin as the center:

(x ,y) \rightarrow (kx , ky) where k is the scale factor i.e k = 0.8

or   (x ,y) \rightarrow (0.8x , 0.8y)

Then:

Apply this on coordinates of MNOPQ to find M' and N'.

M(2 ,4) * (0.8\cdot 2 , 0.8\cdot 4) = M'(1.6 , 3.2)

N(3 ,5) * (0.8\cdot 3 , 0.8\cdot 5) = N'(2.4 , 4)

Slope of line for any two points (x_1 , y_1) and (x_2, y_2) is given by:

m = (y_2-y_1)/(x_2-x_1)

To find the slope of line M'N':

we have M' = (1.6 , 3.2) and N' = (2.4, 4)

then by slope formula;

Slope of line M'N' = (4-3.2)/(2.4-1.6)=(0.8)/(0.8) = 1

Therefore, slope of line M'N' is 1.


Answer 2
Answer: slope=((y2)−(y1))/((x2)−(x1))=(5-4)/(3-2)=1/1=1 The answer is one

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Find x of this shape.

Answers

Answer:

x = 9

Step-by-step explanation:

M is at the midpoint of GA and N is at the midpoint of HA, hence

MN is a mid-line segment and is half the length of GH, that is

5x = (1)/(2)(15x - 45) ← multiply both sides by 2

10x = 15x - 45 ( subtract 15x from both sides )

- 5x = - 45 ( divide both sides by - 5 )

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The length of line segment AK is 640 meters. ∆ABC, ∆CDF, and ∆FJK are similar, and 2AC = CF = 2FK. The first pillar is 20 meters tall. What is the area of ∆CDF

Answers

A to K = 640 meters

2AC = CF = 2FK


2AC = 2(160) = 320
CF = 320
2FK = 2(160) = 320

AC = 160
CF = 320
FK = 160
AK    640

BG = 20 m ; Area = (160m*20m) / 2 = 3,200/2 = 1,600 m²

20:160 = x : 320
20*320 = 160x
6,400 = 160x
6,400/160 = x
40 = x

Area of CDF = (320m*40m) / 2 = 12,800 / 2 = 6,400 m²

Answer:

what that other guy said

sorry just here for the points

If someone can do this ily

Answers

Answer:

a (-5,-2)

b (-3,-5)

c (3,-5)

d (5,-7)

e (5,-2)

Step-by-step explanation:

Which phrase describes the variable expression 11 • x ?1. The product of 11 and x 2. 11 decreased by x 3. The quotient of 11 and x 4. 11 increased by x

Answers

One product means multiply to decreased knee subtract three quotes is divide and for increased by

Write 720,080 in expanded form with exponets

Answers

Answer:

7x10^6+2x10^5+8x10

Step-by-step explanation:

Tiffany is 34 years old and Vanessa is 6 years old. How many years will it take until Tiffany is only 3 times as old as Vanessa?

Answers

Let t be the required number of years.
34 + t = 3(6 + t)
34 + t = 18 + 3t
2t = 16
t = 8
The answer is 8 years.

Answer:

It will take 8 years for Tiffany to become 3 times as old as Vanessa.

Step-by-step explanation:

We have been given that Tiffany is 34 years old Vanessa is 6 years old.

Let the time taken by until Tiffany is only 3 times as old as Vanessa be x

Hence, according to the information given in the question equation becomes:

Age of Tiffany after x years will be: 34 +x

Age of Vanessa after x years will be: 6+x

Since, we have to find when Tiffany is 3 times as old as Vanessa

Equation becomes:

34+x =3(6+x)

34+x=18+3x

2x=16

x=8

It will take 8 years for Tiffany to become 3 times as old as Vanessa.