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2 years ago

AC = 6

Mathematics

1 answer:

lord [1]2 years ago

6 0

Answer:

Dilate from center A by scale factor of 2, then reflect over line AC

Step-by-step explanation:

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2. Given a directed line segment with endpoints A(3, 2) and B(6, 11), what is the point that

KATRIN_1 [288]

Answer:

The point of division is (5 , 8)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divides the line whose endpoints are $(x_{1},y_{1})$

and $(x_{2},y_{2})$ at ratio $m_{1}:m_{2}$ , then

$x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and

$y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

* Lets solve the problem

- The directed line segment with endpoints A (3 , 2) and B (6 , 11)

- There is a point divides AB two-thirds from A to B

∵ The coordinates of the endpoints of the directed line segments

are A = (3 , 2) and B = (6 , 11)

∴ $(x_{1},y_{1})$ is (3 , 2)

∴ $(x_{2},y_{2})$ is (6 , 11)

∵ Point (x , y) divides AB two-thirds from A to B

- That means the distance from A to the point (x , y) is 2/3 from

the distance of the line AB, and the distance from the point (x , y)

to point B is 1/3 from the distance of the line AB

∴ $m_{1}:m_{2}$ = 2 : 1

∵ $x=\frac{(3)(1)+(6)(2)}{2+1}=\frac{3+12}{3}=\frac{15}{3}=5$

∴ The x-coordinate of the point of division is 5

∵ $y=\frac{(2)(1)+(11)(2)}{2+1}=\frac{2+22}{3}=\frac{24}{3}=8$

∴ The y-coordinate of the point of division is 8

∴ The point of division is (5 , 8)

6 0

2 years ago

Y = x + 3<br>2y = 2x + 6

Marina CMI [18]

Answer:

x=0

y=3

Step-by-step explanation:

2(x+3)=2x+6, substituting the first equation in the second

2x+6=2x+6, rearranging the equations

2x-2x=6-6

0=0

y=0+3

y=3

6 0

2 years ago

Two gift shops sell postcards. Each gift shop charges a fixed amount per postcard. The prices, in cents, for different numbers o

Snowcat [4.5K]

1st gift shop:

120/4 = 30 cents each

180/6 = 30 cents each

390/13 = 30 cents each

2nd gift shop:

204/7 = 29.14 cents each

192/8 = 24 cents each

270 /9 = 30 cents each

360/10 = 36 cents each

so if both gift shops have a fixed price then the 9 post cards would be the answer since it matches 30 each like the 1st gift store

5 0

2 years ago

The GCF of 15 and 27 is _____.

daser333 [38]

The GCF if 3. Please mark Brainliest!!!

3 0

2 years ago

Read 2 more answers

In how many years will $7000 yield an interest of $4620 at 22% simple interest?

meriva

Answer:

3 Years

Step-by-step explanation:

7000*22% = 1540

4620/1540 = 3

1540 = the yearly interest

so it will take 3 years of $1540 of interest to get $4620.

Normally you would also have to take into account the interest plus the base varible but since it specifically says 7000 it makes it a simple problem.

hope this helped

6 0

1 year ago