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professor190 [17]
3 years ago
6

FIND x : x+(x+1)+(x+2)=(x+1)^2 A. 1 B. 0 C. 3 D. 2

Mathematics
2 answers:
Over [174]3 years ago
6 0

Answer:

x = - 1, x = 2

Step-by-step explanation:

Given

x + (x + 1) + (x + 2) = (x + 1)² ← expand using FOIL , then

x + x + 1 + x + 2 = x² + 2x + 1 , that is

3x + 3 = x² + 2x + 1 ( subtract 3x + 3 from both sides )

0 = x² - x - 2 ← in standard form

0 = (x - 2)(x + 1) ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 2 = 0 ⇒ x = 2

inysia [295]3 years ago
5 0

Answer:

2

Step-by-step explanation:

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Gelneren [198K]

Answer:

There is a mistake in Step 2. Maya distributed 3(x-10) as 3x+30, which is false. The correct step is: 6x+12 = 3x-30

Then solve for x

The answer is B. Maya made a mistake between Step 1 and Step 2 because she did not correctly distribute 3  to (x-10).

3 0
2 years ago
Write an equation of a line passing through the point (4,-9) and parallel to the line 3x-6y=30
sesenic [268]

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The equation of the given line is expressed as

3x - 6y = 30

Rearranging it so that it will look like the slope intercept form, it becomes

6y = 3x - 30

Dividing both sides by 6, it becomes

6y/6 = 3x/6 - 30/6

y = x/2 - 5

Looking at the equation, slope, m = 1/2

If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2

To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute

x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes

- 9 = 1/2 * 4 + c

- 9 = 2 + c

c = - 9 - 2

c = - 11

By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be

y = x/2 - 11

7 0
1 year ago
Give EG = 5x+7 EF =5x and FG=2x-7
Len [333]

Answer:

x = 7

42, 35, 7

Step-by-step explanation:

  • EG = 5x+7
  • EF = 5x  
  • FG = 2x-7

Point F is on line segment of EG, therefore EG = EF + FG

  • 5x + 7 = 5x + 2x - 7
  • 2x = 14
  • x = 7

Then

  • EG = 5*7 + 7 = 42
  • EF = 5*7 = 35
  • FG = 2*7 - 7 = 7
7 0
3 years ago
{(2,5),(7,3)} is the inverse relation of the function {(5,2),(3,7)} truth or false
dezoksy [38]

frankly yes, because when you want inverse a function you must inverse it with line x=y

so when you inverse a function Df and Rf will convert together!

7 0
3 years ago
What is -3/4+2 3/4 O 3 1/2 O 3 3/4 O 2 1/2 O 2​
sveticcg [70]

Answer:

D. 2

Step-by-step explanation:

Common denominator is already presented which is 4.

-3/4 and 3/4 cancel each other out.

you can also convert to decimal form -3/4 + 2 3/4 is the same as:

-0.75 + 2.75 = 2.

3 0
2 years ago
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