Graph the inequality below on the number line. a>4

Mathematics

1 answer:

aev [14]2 years ago

6 0

Answer:

Open dot on 4 with arrow going to the right.

Step-by-step explanation:

4 is open because it is not part of the set.

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Help me please. lesson 9.3 converse if the pythagorean theorem

mojhsa [17]

Answer:

acute

Step-by-step explanation:

Here are some helpful rules that will help you out in the future with these questions.

If...

a^2 + b^2 = c^2 its a right triangle

a^2 + b^2 < c^2 its obtuse

a^2 + b^2 > c^2 its acute

so...

Since 6+8>10

its acute

5 0

1 year ago

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;