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gregori [183]
3 years ago
13

Simplify (2x-2y)(2y+8)=? A.4xy-4y(2) B.4xy-16x-4y(2)-16y C.4xy+16x+4y(2)+16y D.4xy+16x-4y(2)-16y

Mathematics
1 answer:
jenyasd209 [6]3 years ago
5 0
The correct answer is:   [D]:  " 4xy + 16x − 4y² − 16y " .
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Explanation:
_____________________________________________________
Given:   
_____________________________________________________
     "  (2x <span>− 2y) (2y + 8) " ;  Simplify . 
_____________________________________________________
We starting by "expanding" the expression.
_____________________________________________________
<u>Note</u>:  " (a + b)(c + d)  =  ac +  ad + bc + bd " ;
_____________________________________________________
     </span>→  (2x * 2y) + (2x * 8) + (-2y * 2y) + (-2y * 8) ; 

=   4xy + 16x + (- 4y² ) + (-16y) ;

=   4xy + 16x − 4y² <span>− 16y ; 

</span>→  which is:  "Answer choice:  [D]:  " 4xy + 16x − 4y² − 16y " .
_________________________________________________________
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The astronauts from apollo 17 completed 3 space walks while on the moon for a total duration of 22 hour 4 minutes how many minut
Vadim26 [7]

Answer:

The duration of each of the three spacewalk is between 364 minutes and 480 minutes with a total duration of 1324 minutes

Step-by-step explanation:

A spacewalk also termed an EVA or extravehicular activity, is defined as the general activity of an astronaut outside of a vehicle in space

Spacewalks can last up to 5 to 8 hours

Here we have a word problem, and are required to find the number of minutes equivalent to 22 hour and 4 minutes

Number of minutes per hour = 60 minutes

Number of minutes in 22 hours = 60 × 22 = 1320 minutes

Total number of minutes in 22 hours 4 minutes = 1320 + 4 = 1324 minutes.

Whereby the duration of a space walk is up to 5 to 8 hours gives;

22 hours 4 minutes - 8 hour - 8 hour -x = 0

Hence x = 6 hour 4 minutes

Therefore, the duration of each spacewalk is between 6 hour 4 minutes and 8 hours or in minutes we have

The duration of each spacewalk is between  (6 × 60 + 4) 364 minutes and 480 minutes.

7 0
3 years ago
Which expression is equivalent to -1/2(-3/2x+6x+1)-3
stira [4]

Answer:

-\frac{9}{4}x-\frac{7}{2}

Step-by-step explanation:

We want to find an expression that is equivalent to -\frac{1}{2}(-\frac{3}{2}x+6x+1)-3.

Since we can;t get the options, we simplify the given expression.

The reason is that, the given expression will be equivalent to the simplified one.

We combine similar terms to get:

-\frac{1}{2}(\frac{9}{2}x+1)-3

We now expand to get:

-\frac{1}{2}*\frac{9}{2}x-\frac{1}{2}-3

We perform the subtraction of the last two terms to get:

-\frac{1}{2}*\frac{9}{2}x-\frac{7}{2}

We now multiply to get:

-\frac{9}{4}x-\frac{7}{2}

7 0
3 years ago
Geomtry help please .
BigorU [14]

Answer:

angle ABC= 47°

angle CAD= 38°

Step-by-step explanation:

angle ABC= 180-(49+84)= 47°

because all angles in a traingle add up to 180°

angle ACD= 180-84= 96°

because angle on a straight line add up to 180°

so, angle CAD= 180-(46+96)= 38°

because all angles in a traingle add up to 180°

HOPE IT HELPS ☺️!

3 0
3 years ago
What is 7 8/13 rounded to the nearest whole number?
vfiekz [6]

Answer: The answer would be 8.

Step-by-step explanation: I'm going to assume you mean 7 8/13 is a mixed fraction. So you multiply the denominator, 13, multiply 7 to that, then add 8 to it and the denominator would be the same as before. That should give you 99/13. When you divide, you get around 7.6, rounding closest to 8.  

6 0
3 years ago
How can two different rectangles both have a perimeter of 24 cm​
dem82 [27]

Explanation:

Perimeter is simply the sum of all the edges. The same way 10 can be made of 4+6 or 3+7, the perimeter can be made by many combinations. if you know the 2 must equal 24cm, then we can create numerous combinations.

8 0
3 years ago
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