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Ket [755]
3 years ago
12

(x - 2)(x² + 2x + 4) = 0​

Mathematics
1 answer:
Ber [7]3 years ago
4 0

We have to find the value of x from the given equation.

  • (x - 2)(x² - 2x + 2) = 0 is a quadratic equation, so it will have two values.

Step: Write the equation in simplest form.

  • (x - 2)(x² - 2x + 1) = 0

Step: Solve the problem by spiltting method.

  • (x-2)(x² - x -x + 1) = 0
  • (x - 2)(x²-x - x + 1) = 0
  • (x - 2) [x(x - 1) -1(x -1)]
  • (x - 2)[(x-1)(x-1)]

Step: Solve the problem with using algebraic formula.

{x-1](x-1)

Step : We have used a²-b² to solve the problem.

(x-2)(x² - x -x + 1) = 0

(x - 2)(x²-x - x + 1) = 0

(x - 2) [x(x - 1) -1(x -1)]

(x - 2)[(x-1)(x-1)]

Therefore, the possible factorization is (x - 2)[(x-1)(x-1)].

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If a line goes through the point (8,9) and has a slope of negative 3/4 what is the starting value?
scZoUnD [109]

I assume by starting value, you mean y-intercept. The y-intercept is 15

To find this, we need to use slope intercept form and the given information to find it.

y = mx + b ----> plug in the known values

9 = -3/4(8) + b

9 = -6 + b

15 = b

Therefore, the starting value is 15.

5 0
3 years ago
Segment AB has point A located at (6, 5). If the distance from A to B is 5 units, which of the following could be used to calcul
sesenic [268]

The expression      5 = \sqrt{(x-6^2)+(y - 5)^2}  can be used to find the coordinate of Point B. Option C is correct.

Given that,
Segment AB has point A located at (6, 5). If the distance from A to B is 5 units, which of the following could be used to calculate the coordinates for point B is to be determined.

<h3>What is the equation?</h3>

The equation is the relationship between variables and represented as y = ax +c is an example of a polynomial equation.

Let the coordinates of B be (x, y)
Now the distance between A (6, 5) and B (x, y) is c = 5 units
So, by the distance formula, the distance between two points is given as,


C = \sqrt{(x_1-x_2)^2 +(y_1-y_2)^2}


now put the value in the formula.

5 = \sqrt{(x-6^2)+(y - 5)^2}

Thus, expression      5 = \sqrt{(x-6^2)+(y - 5)^2}  can be used to find the coordinate of Point B. Option C is correct.


Learn more about equation here:

brainly.com/question/10413253

#SPJ1



4 0
1 year ago
Restaurants A, B, C, and D lie on a circular lake. Restaurants A and Care near the
DaniilM [7]

Answer:

10

Step-by-step explanation:

6 0
3 years ago
Please any help is necessary
Ugo [173]

Answer:

Option D. 50 ft

Step-by-step explanation:

we know that

The area of the figure is equal to the area of three rectangles

so

A=18x+(48-36)(32-11)+(18)(32)

A=18x+(12)(21)+(18)(32)\\A=18x+828

Remember that the area is given

A= 1,728\ ft^2

so

18x+828=1,728

solve for x

18x=1,728-828\\18x=900\\x=50\ ft

3 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Svetlanka [38]

Answer:

The line equation is y = 1.5x + 3

Fill the first space with '1.5' and the second with '3'

Step-by-step explanation:

The generic model for a line equation is:

y = ax + b

To find the parameters 'a' and 'b', we can use two points of the graph in the equation.

Using the point (0, 3), we have:

3 = 0*a + b

b = 3

Using the point (-2, 0) and the value of b above, we have:

0 = -2*a + b

2a = 3

a = 1.5

So the line equation is y = 1.5x + 3

3 0
3 years ago
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