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Flura [38]
3 years ago
5

What is the solution to the system of linear equations below? 2/5x−y=6 −2x+5y=−30 Select one: A. (-13, 14) B. (-5, -8) C. no sol

ution D. infinitely many solutions
Mathematics
1 answer:
tester [92]3 years ago
3 0

Answer:

D. Infinitely many solutions

Step-by-step explanation:

-\frac{2}{5}x-y=6      |  -2x+5y=-30

1.Since neither equation contains an isolated. However, we can isolate -y in the first equation by adding \frac{2}{5}x to both sides.

Like this: \frac{2}{5}x-\frac{2}{5}x-y=6-\frac{2}{5}x

ending up with y=6-\frac{2}{5}x

2.Now, we can change y to a positive y. By doing so, we divide -y by the entire equation.

Like this \frac{-y=6-\frac{2}{5}x }{-y}

Ending with y=-6+\frac{2}{5}x

3.Now, we can plug the expression -6+\frac{2}{5}x into the second equation as a substitute for y, and solve for x. Then, we can use x to calculate y.

Like this -2x+5(-6+\frac{2}{5}x)=-30\\ -2x-30+2x=-30\\

4. Since -2x+2x would cancel out and leave -30=-30. This is true because we know -30 equals -30 with no variable in sight.

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Write a sequence of transformation that maps quadrilateral ABCD onto quadrilateral A. B. C. D IN THE PICTURE
Mice21 [21]

Answer:

The sequence of transformation is reflected across the y-axis and translated 2 units down

Step-by-step explanation:

Lets revise some transformation

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) translate h units to the right

∴ Its image is (x + h , y)

- If point (x , y) translate h units to the left

∴ Its image is (x - h , y)

- If point (x , y) translate k units up

∴ Its image is (x , y + k)

- If point (x , y) translate k units down

∴ Its image is (x , y - k)

* Now lets solve the problem

∵ The vertices of figure ABCD are:

  A (-1 , 3) , B (1 , 0) , C (2 , 3) , D (1 , 4)

∵ The vertices of figure A"B"C"D" are:

  A" (1 , 1) , B" (-1 , -2) , C" (-2 , 1) , D" (-1 , 2)

* Lets compare between ABCD and A"B"C"D"

∵ All x-coordinates has opposite signs

  -1 ⇒ 1 , 1 ⇒ -1 , 2 ⇒ -2 , 1 ⇒ -1

∴ The ABCD is reflected across the y-axis

∵ All y-coordinates subtracted by 2

 3 ⇒ 1 , 0 ⇒ -2 , 3 ⇒ 1 , 4 ⇒ 2

∴ The ABCD is translated 2 units down

* The sequence of transformation is reflected across the y-axis

  and translated 2 units down

5 0
3 years ago
Use the graph to answer problem
Alina [70]

Answer:

The option you chose is the right answer which is (0,-9).

4 0
3 years ago
2100 square-foot home cost $110 per square foot how much does this home cost
pychu [463]

Total cost to cover 2100 square foot of home is $231,000

Step-by-step explanation:

Total area of the home = 2100

Cost per square foot = $110

Cost of complete area of home = Total area of the home x Cost per square foot

Cost of complete area of home = 2100 X 110

Cost of complete area of home = $231,000

So, Total cost to cover 2100 square foot of home is $231,000

Keywords: Word Problems involving cost

Learn more about Word Problems involving cost at:

  • brainly.com/question/5059091
  • brainly.com/question/5282516
  • brainly.com/question/8280736

#learnwithBrainly

8 0
3 years ago
Can some one help me plz !!!!!!!!!,!<br> 25points
allsm [11]

You would multiply 6 × 5 and you would get 30.

better explanation : solution would be A = B H = 6 × 5 which would give you 30ft²

8 0
3 years ago
Please help i am confused i appreciate answers!!!
inysia [295]
The answer is b :) have a good day
5 0
3 years ago
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