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Luba_88 [7]
3 years ago
10

6.

Mathematics
1 answer:
joja [24]3 years ago
6 0

Answer:

x² - 16

Step-by-step explanation:

Given

(x - 4)(x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) - 4(x + 4) ← distribute both parenthesis

= x² + 4x - 4x - 16 ← collect like terms

= x² - 16

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Charlotte reads 8 1/3 pages of a book of in 10 minutes. What is her average reading rate in pages per minute?
shtirl [24]

The answer as a fraction is 5/6

We want to figure out how many pages Charlotte can read in 1 minute. Since we know how many pages she can read in 10 minutes, in order to find out how many she reads in 1 minute, simply do 10 divided by 8 1/3. Which will give you your answer, 5/6.

3 0
3 years ago
Which of the following shows the correct value of 50
Orlov [11]

Answer:

None of the options is correct

Step-by-step explanation:

It is important to know that he expression a < x < b means that x is greater than a and less than b. So, for finding the correct value let's analyse each option.

A. 4 < 50 < 5

50 is greater than 4 but it is not less than 5, so, option A is incorrect.

B. 7 < 50 < 8

50 is greater than 7 but it is not less than 8, so, option B is incorrect.

C. 8 < 50 < 9

50 is greater than 8 but it is not less than 9, so, option C is incorrect.

D. 10 < 50 < 11

50 is greater than 10 but it is not less than 11, so, option D is incorrect.

Thus, none of the options is correct.

8 0
3 years ago
Find all solutions in the interval [0,2pi).<br> 2sin^2(x)=sin(x)
SIZIF [17.4K]

2\sin^2 x  =\sin  x \\\\\implies 2 \sin^2 x -  \sin x=0\\\\\implies \sin x(2 \sin x -1) =0\\\\\implies \sin x =  0~~\text{or}~~ 2 \sin x -1 =0\\\\\implies \sin x = 0~~ \text{or}~ ~ \sin x = \dfrac 12\\\\\text{For}~~ \sin x = 0\\\\x=n\pi \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=0, \pi\\\\\text{For}~~ \sin x = \dfrac 12\\\\x=n\pi+(-1)^n \dfrac{\pi}6 \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=\dfrac{\pi}6,~ \dfrac{5\pi}6\\\\\text{Hence,}~ x = 0,~\pi,~ \dfrac{\pi}6, ~\dfrac{5 \pi}6

4 0
2 years ago
Read 2 more answers
Find the unknown sizes of angles in the following figure:​
8090 [49]

Answer:

angle x is 86

angle y is 38

Step-by-step explanation:

7 0
2 years ago
a number, half of that number, and one-third of that number are added. the result is 22. what is the number?
tiny-mole [99]
Let the number be x.

Half of that number  =  x / 2
One third of the number  =  x / 3

=  x / 2 + x / 3 = 22.  LCM  =  6.

= (3x + 2 x) / 6  = 22.

5x / 6 = 22.      Cross multiply

5x = 6 * 22.

5x = 132      Divide both sides by 5.

x =  132 / 5

x = 26.4

The number is 26.4.  Cheers.
5 0
3 years ago
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