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tino4ka555 [31]
3 years ago
11

Y=6x - 11 -2x - 3y = -7

Mathematics
1 answer:
Ray Of Light [21]3 years ago
3 0
<h2>Therefore x=2 and y= 1</h2>

Step-by-step explanation:

Given equations are

y = 6x -11                    and         -2x -3y = -7.........(2)

⇒y - 6x = -11.......(1)

Equation (2)× 3 - Equation (1)

-6x -9y -(y-6x) = -21 -(-11)

⇔-6x -9y-y+6x=-21+11

⇔-10y = -10

⇔y=1

Putting the value of y in equation (1) we get

1 = 6x -11

⇔x =2

Therefore x=2 and y= 1

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x^2=6x+1 rewrite the equation by completing the square your equation should look like (x+a)^2=b or (x-c)^2=d
ryzh [129]

Answer:

(x - 3)² = 10

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Completing the Square

Step-by-step explanation:

<u>Step 1: Define</u>

x² = 6x + 1

<u>Step 2: Rewrite</u>

  1. Subtract 6x on both sides:                    x² - 6x = 1
  2. Complete the Square:                           x² - 6x + 9 = 1 + 9
  3. Factor:                                                    (x - 3)² = 10
8 0
3 years ago
A piece of fabric shaped as a trapezoid has a
Grace [21]

Answer:

Area of the fabric = 175 square inches

Step-by-step explanation:

Area of a trapezoid = (b1 + b2)/2 * h

Where,

b1 = 16 inches

b2 = 9 inches

h = 14 inches

Area of a trapezoid = (b1 + b2)/2 * h

= (16 + 9)/2 * 14

= 25/2 * 14

= 12.5 * 14

= 175 square inches

Area of the fabric = 175 square inches

4 0
3 years ago
the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t
777dan777 [17]

Answer:

  • ratio: 2/3
  • sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

  an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

  a2 = a1·r^(2-1) = a1·r

  a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

  a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

  r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

  a2 = 18 = a1·(2/3)

  a1 = (3/2)·18 = 27

__

The sum of the first 6 terms is ...

  Sn = a1·(r^n -1)/(r -1)

  S6 = 27·((2/3)^6 -1)/(2/3 -1)

  S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

<em>Check on the sum</em>

The first 6 terms are ...

  27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

8 0
3 years ago
The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?
timofeeve [1]

Answer:

g is decreasing for all x less than or equal to -1

Step-by-step explanation:

The graph of the function y = |x| looks like a "vee."

g(x) = |x + 1| - 7 moves that graph 1 unit to the <u>left</u><em> </em>(I know, it looks backwards!) and down 7 units. See attached image.

Function g(x) is decreasing for all x \le -1.

5 0
3 years ago
Read 2 more answers
3 (x - 3) + x (r + 4)
docker41 [41]

Answer:

Step-by-step explanation:

3(x-3)+x(r+4)

3x-9+xr+4x

7x+9+xr

7 0
3 years ago
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