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Serhud [2]
3 years ago
13

If xy=5 and x square +y square =25 ,then (x+y)square ​

Mathematics
2 answers:
nika2105 [10]3 years ago
8 0

Answer:

(x + y)² = 35

Step-by-step explanation:

The expansion of

(x + y)² = x² + 2xy + y²

           = x² + y² + 2xy ← substitute given values

          = 25 + 2(5)

           = 25 + 10

           = 35

Salsk061 [2.6K]3 years ago
4 0

Answer:

35

Step-by-step explanation:

xy = 5 \\  \\  {x}^{2}  +  {y}^{2}  = 25 \\  \\  \because  \:  {(x + y)}^{2}  =  {x}^{2}  +  {y}^{2}  + 2xy\\  \\    \therefore {(x + y)}^{2}  =  25 + 2 \times 5 \\  \\ \therefore {(x + y)}^{2}  =  25 + 10 \\  \\  \huge \red{ \boxed{\therefore {(x + y)}^{2}  =  35}}

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chubhunter [2.5K]

The midpoints of the given coordinates and the distance between coordinates are calculated below.

<h3>How to find the distance of a line segment?</h3>

1a) Coordinates of midpoint of (-4, 2), (3, 3) is;

Midpoint Coordinate = (-4 + 3)/2, (2 + 3)/2 = (-1/2, 5/2)

1b) Coordinates of midpoint of (-1, 0), (-3, -4) is;

Midpoint Coordinate = (-1 - 3)/2, (-4 + 0)/2 = (-2, -2)

2) One endpoint = (-5, 4)

Midpoint = (-10, -6)

Thus;

Coordinate of other endpoint is;

(-5 + x)/2, (4 + y)/2 = (-10, -6)

-5 + x = -20

x = -15

4 + y = -12

y = -16

(x, y) = (-15, -16)

3) Distance between the two coordinates (-3, 6) and (2, 1) is;

d = √[(2 + 3)² + (1 - 6)²]

d = √100

3b) Distance between the two coordinates (7, 6) and (0, 2) is;

d = √[(0 - 7)² + (2 - 6)²]

d = √64

Read more about Distance of Line Segment at; brainly.com/question/11268396

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7 0
1 year ago
If the sales tax is 8.5%, what is the cost of a pair of shoes with a price of $80?
vesna_86 [32]
Multiply 80 by the decimal version of the percentage, .085, to get the tax of $6.8. Then add 6.8 to 80 and get the final price of the shoes $86.80
4 0
3 years ago
Amalia used 8 lemons to make a picture of lemonade that served six people. How many lemons would she need to make enough lemonad
11111nata11111 [884]
28 lemons is the answer to your question
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3 years ago
For the end-of-year party, Mt.Rise Middle School ordered 112 pizzas. There were eight fewer veggie pizzas than there were pepper
rodikova [14]
Let the number of pepperoni pizzas be x
pepperoni = x
veggie = x - 8    [<span>There were eight fewer veggie than pepperoni]
</span>combo = 3x       [T<span>here were three times as many combo as pepperoni]
</span>
Given that the total Pizza: 112
x + x - 8 + 3x = 112
5x - 8 = 112
5x = 112 + 8
5x = 120
x = 24

x= 24
x - 8 = 16
3x = 72

So there were 24 pepperoni pizza, 16 veggie pizza and 72 combo pizza

5 0
3 years ago
The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. The price-demand function, in dolla
Trava [24]

Answer:

Step-by-step explanation:

Let x represent the number of tubs of ice cream that was produced.

The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. This means that the total cost of producing x tubs of ice cream would be

C(x) = 18x + 11610

The price-demand function, in dollars per tub, is p(x)=374-2x.

The revenue function is product of the output by the price function

R(x) = x × p(x) = xp(x)

R(x) = x(374 - 2x) = 374x - 2x²

The profit function P(x) = R(x) - C(x)

Therefore,

P(x) = 374x - 2x² - (18x + 11610)

P(x) = 374x - 2x² - 18x - 11610

P(x) = - 2x² + 374x - 18x - 11610

P(x) = - 2x² + 356x - 11610

At the break even point,

Revenue = total cost.

Therefore,

374x - 2x² = 18x + 11610

2x² + 18x - 374x + 11610 = 0

2x² - 356x + 11610 = 0

Dividing through by 2, it becomes

x² - 178x + 5805 = 0

Applying the general formula for quadratic equations,

x = [- b ±√(b² - 4ac)]/2a

x = [- - 178 ±√(-178² - 4 × 1 × 5805)]/2 × 1

x = [178 ±√(31684 - 23220)]/2

x = [178 ±92]/2

x = (178 + 92)/2 or (178 - 92)/2

x = 135 or x = 43

Therefore, the quantity for the smallest break-even point is 43.

4 0
3 years ago
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