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hoa [83]
4 years ago
13

1) a^2+2ab+b^2=25, find a+b

Mathematics
1 answer:
Pavel [41]4 years ago
3 0

Answer:

1) -5 and +5; 2) -9 and +9

Step-by-step explanation:

1) a² + 2ab + b² = 25

(a + b)² = 25      Wrote the left-hand side as a square

  a + b =  ±5    Took the square root of each side

All values of a + b are -5 and +5.

2) a² − 8ab + 16b² = 81

(a - 4b)² = 81      Wrote the left-hand side as a square

  a - 4b = ±9     Took the square root of each side

All values of a - 4b are -9 and +9.

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PLEASE HELP WITH MY HOMEWORK PLEASE.
alexira [117]

Answer:

115°

Step-by-step explanation:

The sum of angle measures of a pentagon is 540°, so your unknown angle can be found from ...

... 103° + 100° +110° +112° +unknown = 540°

... unknown = 540° -425° = 115° . . . . . . . . subtract 425° from both sides

_____

<em>Angles of a polygon</em>

The external angles lf a convex polygon always sum to 360°. The sum of internal and external angles is, of course, 180°. So, an n-sided polygon has internal angle measures that sum to ...

... n×180° - 360° = 180°×(n -2)

Thus, a pentagon has internal angles that sum to ...

... 180°×(5 - 2) = 540°

4 0
3 years ago
Is the expression of y=1/7x and example of direct variation? If, yes then what is the constant of a variation
weqwewe [10]

Answer:

direct variation

constant = 1/7

Step-by-step explanation:

The equation for direct variation is

y = kx

y = 1/7 x is in this form with the constant of variation being 1/7

3 0
3 years ago
Read 2 more answers
While mining Fred found a large metal bar that contained 24 ounces of nickel. Fred also determined that the bar was 80% nickel.
frutty [35]

Answer:

Not that I'm a chemistry expert but mathematically,The total weight of the bar is directly proportional to the known weight of the bar and the given percentage. I worked it out and found that the the total weight of the bar is 30 ounces. This is how I did it

Step-by-step explanation:

80:24

100:n

80(n)=100×24

A little equation and after it's solve the variable (n) will be equal to 30

The unit is added after calculations so that's how the answer is <em><u>3</u></em><em><u>0</u></em><em><u> </u></em><em><u>oun</u></em><em><u>ces</u></em>

8 0
3 years ago
A rectangular flower bed is 7 m long. If the boundary
tester [92]

<h2>Given :-</h2>

  • Length of flower bed = 7 m

  • Perimeter of boundary = 22 m

<h2>To Find :-</h2>

  • Breadth
  • Area

<h2>Solution :-</h2>

As we know that

\sf \blue{Perimeter = 2(l + b)}

  • 22 = 2(7 + b)

  • 22 = 14 + 2b

  • 22 - 14 = 2b

  • 8 = 2b

  • \sf \: \dfrac{8}{2} = b

  • \bold{\boxed{b=4}   } 
<h3>Breadth = 4 m.</h3>

Now,

\sf \orange{Area = l \times b}

  • Area = 7 \times 4

  • \sf \: Area = 28 \: {m}^{2}

Area=28\bold{ m^2  } 

5 0
3 years ago
The hawaiian alphabet has 18 symbols. how many bits are needed to represent just these symbols?
Greeley [361]
It is five


i hope that helps

6 0
3 years ago
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