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Sphinxa [80]
3 years ago
12

Rewrite as the opposite of the square of a binomial: −x^2+8x−16

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0

Answer:

- (x - 4 {)}^{2}

Step-by-step explanation:

The given expresion is

-  {x}^{2}  + 8x - 16

Factor -1;

- ( {x}^{2}  - 8x + 16)

Split the middle term with -4x-4x

- ( {x}^{2}  - 4x - 4x + 16)

Factor by grouping within the parenthesis:

- ( x({x}  - 4)- 4(x  - 4) )

Factor further:

- (x - 4)(x -4 )

- (x - 4 {)}^{2}

This the opposite of the square of (x-4)

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Solve and show your work please!x+7=2(3x-4)
Brrunno [24]

x + 7 = 2(3x - 4)         Remove the brackets

x + 7 = 2*3x - 4*2

x + 7 = 6x -  8            Subtract 7 from both sides.

x + 7 - 7 = 6x - 8 - 7  

x = 6x - 15                 Subtract 6x from both sides

x - 6x = - 15

-5x = - 15                   Divide by -5

-5x/-5 = -15/-5

x = 3

6 0
3 years ago
The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 269 day
fenix001 [56]

Answer:

a) 279 b)254

Step-by-step explanation:

Mean = 269 days

standard deviation = 8 days

let n be the pregnancy lenght.  

using normal distribution formula

z = (n – mean)/ standard deviation

n = z * standard deviation + mean

Now, z values for the top 12% has to be found using a z table.

The top 12% means 88% of area under the curve. In this case z = 1,176

n = 1,176 * 8 + 269

n = 278.4 = 279

The bottom 3% means 97% of area under the curve. In this case z = -1,882

n = -1,882 * 8 + 269

n = 253.94 = 254

6 0
3 years ago
What is the midpoint of (-2,3) and (10,3) *simple answer please
Allushta [10]

The "midpoint formula" is the same as the "average formula:"

x-coordinate of the midpoint = average of -2 and 10:

= (-2 + 10) / 2 = 4


y-coordinate of the midpoint = average of 3 and 3:

= (3+3) / 2 = 3

Thus, the midpoint of the given line segment is (4,3).


5 0
3 years ago
Which expression is not equal to the number 0? Group of answer choices 5 - 5 -8 - (-8) 6 - (-6) -7 + 7
Sedbober [7]
6 - (-6)
This is because two negatives make a positive, so you’ll be adding 6+6 which equals to 12 not 0
3 0
3 years ago
What is the measure of angle x?
Kaylis [27]
Hello!

The total measure of the angles in a triangle always add up to 180 degrees. 

The measures that you are given are 37 and 82 degrees. To find what angle x equals, we must first add together the angles that we know:
37 + 82 = 119

To find angle x, we simply subtract 119 from the total number of degrees (180):
180-119 = 61

The measure of angle x is 61 degrees. 

I hope this helps you! Have a fantastic day!
6 0
3 years ago
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