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3 years ago

Solve x2+12x=82 using completing the square. Answer the questions below.

Mathematics

1 answer:

galben [10]3 years ago

4 0

Answer:

exact form : x = ± √ 118 − 6

Decimal form : x = 4.86278049 or − 16.86278049

Step-by-step explanation:

Use the formula ( b /2 ) ^2 in order to create a new term. Solve for x by using this term to complete the square.

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Which rule explains why these triangles are similar?

Ksenya-84 [330]

The correct answer would be Side Angle Side

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3 years ago

Read 2 more answers

taurus [48]

Answer:

$x^2 - 2x + 10$ , option B

Step-by-step explanation:

Complex numbers:

The most important relation that involves complex numbers is given by:

$i^2 = -1$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

The solutions are:

$x_1 = 1 - 3i, x_2 = 1 + 3i$

We have to find the polynomial. All option have $a = 1$ . So

$(x - (1 - 3i))(x - (1 + 3i)) = x^2 - x(1 + 3i) - x(1 - 3i) + (1 - 3i)(1 + 3i) = x^2 - x -3ix - x + 3ix + 1^2 - (3i^2) = x^2 - 2x + 1 - 9i^2 = x^2 - 2x + 1 - 9(-1) = x^2 - 2x + 10$

The correct answer is given by option b.

6 0

3 years ago

Please help..........

Sladkaya [172]

Answer:

29 degrees

Step-by-step explanation:

BAD = 42 degrees because it is an alternate interior pair with ABC. 109 + 42 = 151 degrees. Those three angles should equal 180 degrees, thus the equation 180 - 151, which is equal to 29 degrees.

8 0

3 years ago

How to simplify 14 2/3

Norma-Jean [14]

Answer:

You can look down

Step-by-step explanation:

Okay so you can put this has a mixed faction.

so it is 46/3. and then you can simplify it and you get the same answer. 14 2/3 but you still cant simplify it because all numbers are un-even. like you cant simplify.

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3 years ago

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Expontential function f f(x) = a*b^x x f(x) 0 5 1 8 f(x) =

vivado [14]

Answer:

1 8 I hope it helps

have a good night

3 0

3 years ago