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Musya8 [376]
3 years ago
5

Solve the equation 55=7-6y

Mathematics
2 answers:
sweet [91]3 years ago
4 0

Answer:

55-7=48

48÷-6=-8

y=-8

......

Lelechka [254]3 years ago
4 0

Answer:

-8 = y

Step-by-step explanation:

55=7-6y

Subtract 7 from each side

55-7=7-6y-7

48 = -6y

Divide each side by -6

48/-6 = -6y/-6

-8 = y

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SashulF [63]

Answer:

positive is the correct answer

4 0
3 years ago
The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
6 0
3 years ago
Write a polynomial function of the least degree that has roots of 3 and (4 + i).
polet [3.4K]

Answer:

  • x³ - 11x² + 41x - 51

Step-by-step explanation:

The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.

<u>The polynomial is:</u>

  • (x - 3)(x - (4 + i))(x - (4 + i)) =
  • (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) =
  • (x - 3)(x² - 8x + 16 - (-1)) =
  • (x - 3)(x² - 8x + 17) =
  • x³ - 8x² + 17x - 3x² + 24x - 51 =
  • x³ - 11x² + 41x - 51
4 0
3 years ago
1) -7(5j + 5) distributive property
goblinko [34]

Answer:

-35j-35

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the greatest common factor or 20 and 24
gogolik [260]

Answer:

The greatest common factor is 4 :)

8 0
3 years ago
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