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erastova [34]
3 years ago
6

Solve the following system of equations: y=x + 2 and y= 2x - 1

Mathematics
2 answers:
lys-0071 [83]3 years ago
5 0

Answer:

hope this pic helps you

likoan [24]3 years ago
4 0

9514 1404 393

Answer:

  (x, y) = (3, 5)

Step-by-step explanation:

Equate the two expressions for y and solve for x.

  x +2 = 2x -1

  3 = x . . . . . . . . add 1-x

  y = 3 +2 = 5 . . . . using the first equation

The solution is (x, y) = (3, 5).

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In one month Sierra earned $400 and $100 was withheld from income tax. Suppose she makes $600 next month. How much will be withh
valentina_108 [34]

Answer:

$150

Step-by-step explanation:

it is $25 income tax every $100 earned so 25 x 6 = 150

6 0
3 years ago
ABCD is a parallelogram. Which statements are true?
jekas [21]

Answer:

<u>Final Answer: Statements 1, 2 and 4 are correct.</u>

Step-by-step explanation:

Finding value of y:

2y + 3 = 15 => 2y = 12 => y = 6;

Finding value of x:

6x + 5 = 77 => 6x = 72 => x = 12;

Statement Number 1:

y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?

Yes, 36 is bigger than 24, therefore statement one is correct.

Statement 2:

x = 2y ? => 12 = 2 * 6? => 12 = 12?

Yes, 12 is equal to 12. Statement 2 is correct.

Statement 3:

x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?

No, 14 is not equal to 16. Statement 3 is incorrect.

Statement 4:

y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?

Yes, 10 is bigger than 8. Statement 4 is correct.

<em>If this helped you please rate </em>

<u>Final Answer: Statements 1, 2 and 4 are correct.</u>

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5 0
3 years ago
can someone please solve this? I clicked on homework help and it wasn't much help. I'm trying to turn in as much missing assignm
MA_775_DIABLO [31]

Answer:

  • One proportion to solve is 8/18 = x/8
  • Exact answer as a fraction: x = 32/9
  • Approximate answer in decimal form: x = 3.556

In reality, the 5's go on forever, but we have to round off somewhere.

========================================================

Explanation:

Break up the triangles as your teacher recommends. See the diagram below as to what I mean.

The smaller triangle has A = 8 as the horizontal side, and B = x as the vertical side

The larger triangle has C = 10+8 = 18 as the horizontal aside, and D = 8 as the vertical side.

We can form the proportion A/C = B/D.

A/C connects the horizontal sides (small/large) while B/D has the vertical sides tied together. The order of division is the same small over large. You could do large over small, but make sure you keep both sides consistent.

-----------------

Let's solve for x

A/C = B/D

8/18 = x/8

8*8 = 18*x .... cross multiply

64 = 18x

18x = 64

x = 64/18 .... divide both sides by 18

x = 32/9  exactly in fraction form

x = 3.556 approximately in decimal form

-------------------

Another proportion you can solve is A/B = C/D and you should get the same x value. It's the same as A/C = B/D because the B and C swap places. There are many other approaches you could take using different proportions.

6 0
3 years ago
Read 2 more answers
Find the equation of a line parallel to y=2x-4 that contains the points (5,1)
Alex73 [517]
The correct answer is
y=2x-9

Since the lines are parallel, they will gave the same slope (in this case it’s 2)

Our equation will be
y=mx+b

We know the slope is 2, and they’ve given us x and y coordinates. Plugging it in to the slope equation we get

1=2(5)+b

1=10+b

Subtract 10 from both sides and you get

-9=b

Putting it together our new parallel line will be

y = 2x - 9
5 0
3 years ago
What is the value of EBD?
Zielflug [23.3K]

Answer:

Step-by-step explanation:

7 0
3 years ago
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