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3 years ago

Factor the polynomial 4x^2-16

Mathematics

2 answers:

Karolina [17]3 years ago

8 0

Answer:

4(x+2)4(x-2)

Step-by-step explanation:

Aleksandr [31]3 years ago

6 0

Answer: 4(x+2)(x-2)

Step-by-step explanation: Just use Math-way it really helps

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3 years ago

In a triangle the length of two sides are 1.9m and 0.7m. What is the length of the third side, if you know that it should be a w

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Which of the following correctly completes the square for: x^2+2x=48

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Answer:

(x+1)²= 49, the answer is B

Step-by-step explanation:

x² + 2x = 48

x² + 2x + (2/2)² - (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² - (2/2)²]

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3 years ago

These triangles are similar and the sides are proportional. Which proportion correctly describes the situation below?

Veronika [31]

Answer:

Option (3)

Step-by-step explanation:

"If two triangles are similar, their corresponding sides are proportional."

We will check each proportionality ratio given in the options for the given property,

Option (1),

$\frac{QB}{DM}=\frac{DF}{QL}=\frac{LB}{MF}$

$\frac{3.5}{2}=\frac{5}{8.75}=\frac{10.5}{6}$

$\frac{7}{4}=\frac{4}{7}=\frac{7}{4}$

But $\frac{7}{4}\neq \frac{4}{7}$ .

Therefore, this option is not the answer.

Option (2),

$\frac{FM}{LB}=\frac{BQ}{MD}=\frac{QL}{DF}$

$\frac{6}{10.5}=\frac{3.5}{2}=\frac{8.75}{5}$

$\frac{4}{7}=\frac{7}{4}=\frac{7}{4}$

But $\frac{4}{7}\neq \frac{7}{4}$ ,

Therefore, this option is not the option.

Option (3),

$\frac{BQ}{MD}=\frac{QL}{DF}=\frac{BL}{MF}$

$\frac{3.5}{2}=\frac{8.75}{5}=\frac{10.5}{6}$

$\frac{7}{4}=\frac{7}{4}=\frac{7}{4}$

Therefore, this option is the answer.

Option (4),

$\frac{6}{10.5}=\frac{2}{3.5}=\frac{5}{10.5}$

$\frac{4}{7}=\frac{4}{7}=\frac{10}{21}$

But, $\frac{4}{7}\neq \frac{10}{21}$

Therefore, this is not the correct option.

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3 years ago