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2 years ago

DC = 10 What is the measure of angle ABD?

Mathematics

1 answer:

den301095 [7]2 years ago

4 0

There is normally a shape or something to these problems

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Question 14 of 25What is the complete factorization of the polynomial below?x³+x² + 4x+4O A. (x-1)(x+2)(x+2)B. (x + 1)(x + 2)(x

mote1985 [20]

GIVEN:

We are given the following polynomial;

$x^3+x^2+4x+4$

Required;

We are required to factorize this polynomial completely.

Step-by-step explanation;

To factorize this polynomial, we start by grouping;

$(x^3+x^2)+(4x+4)$

We now take the common factor in each group;

$\begin{gathered} x^2(x+1)+4(x+1) \\ \\ (x^2+4)(x+1) \end{gathered}$

Next, we factorize the first parenthesis. To do this we set the equation equal to zero and solve for x as follows;

$\begin{gathered} x^2+4=0 \\ \\ Subtract\text{ }4\text{ }from\text{ }both\text{ }sides: \\ \\ x^2=-4 \\ \\ Take\text{ }the\text{ }square\text{ }root\text{ }of\text{ }both\text{ }sides: \\ \\ x=\pm\sqrt{-4} \\ \\ x=(\pm\sqrt{-1}\times\sqrt{4}) \\ \\ x=\pm2i \end{gathered}$

Therefore, the factors of the other parenthesis are;

$(x+2i)(x-2i)$

Therefore, the complete factorization of the polynomial is;

ANSWER:

$(x+1)(x+2i)(x-2i)$

Option C is the correct answer.

4 0

11 months ago

Q-35<br><br> Convert this equation to slope-intercept form: y+2= -4/17x + 12/7

Andru [333]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept)

given y + 2 = - $\frac{4}{17}$ x + $\frac{12}{7}$

Subtract 2 from both sides

y = - $\frac{4}{17}$ x + $\frac{12}{7}$ - $\frac{14}{7}$

y = - $\frac{4}{17}$ x - $\frac{2}{7}$ ← in slope- intercept form

6 0

2 years ago

You are starting a savings account for college. You put $1,000 in as your starting balance. You earn simple interest at 10% ever

Brums [2.3K]

Answer:

— Use NerdWallet to find a better bank account. ... Compound interest is simple: It's the interest you earn on both your original deposit and on the ...

Step-by-step explanation:

7 0

2 years ago

What is the equation of the line with a slope of -3 and passes through the point (-6,-3)

Taya2010 [7]

Answer:

f(x) = -3x - 21

Step-by-step explanation:

Graphed this equation and it passes through (-6, -3), also known as Point A.

7 0

2 years ago

Helpp plzz will mark brainleast

vladimir1956 [14]

Answer:

can we see the text and part a

like you know the question is asking abt that

4 0

2 years ago