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Inga [223]
3 years ago
10

(X-6) squared + (y+2) squared =

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0

Answer:

x^2 + y^2 - 12x + 4y + 40

Step-by-step explanation:

Open the parentheses:

(x - 6)^2 = x^2 - 12x + 36

(y + 2)^2 = y^2 + 4y + 4

Simplify:

x^2 + y^2 - 12x + 4y + 40

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During a football game a concession stand sold a family three hamburgers and two hotdogs for a total of $13 it's sold another fa
guajiro [1.7K]

Answer:

The price of each hamburger is $3

The price of each hot dogs is $2  .

Step-by-step explanation:

Given as :

The total price of 3 hamburger and 2 hot dogs = $13

The total price of 2 hamburger and 5 hot dogs = $16

Let The price of each hamburger = $x

Let The price of each hot dogs = $y

<u>Now, According to question</u>

3 x + 2 y = 13              .........A

2 x + 5 y = 16              .......B

Now, Solving to eq A and B

3 × (2 x + 5 y ) - 2 × (3 x + 2 y ) = 3 × 16 - 2 × 13

Or, (6 x + 15 y) - (6 x + 4 y) = 48 - 26

Or, (6 x - 6 x) + (15 y - 4 y) = 22

Or, 0 + 11 y = 22

∴  y = \dfrac{22}{11}

i.e y = $2

so, The price of each hot dogs = y = $2

<u>Now, Put the value of y into eq B</u>

i.e 2 x + 5 y = 16

or, 2 x + 5 × 2 = 16

or, 2 x = 16 - 10

or, 2 x = 6

∴  x = \dfrac{6}{2}

i.e x = $3

So, The price of each hamburger = x = $3

Hence, The price of each hamburger is $3 and  The price of each hot dogs is $2  . Answer

3 0
3 years ago
Create a word problem that the equation 4x + 32 = 164 could represent.
Svetlanka [38]

It is a hot summer day, and Jade is trying to save money to buy a new shoe. She has 32 dollars, and she plans to sell smoothies at her neighborhood for four dollars a cup. At the end of the day, she is left with a total of 164 dollars in her wallet. How many smoothies did Jade sell?

3 0
2 years ago
Read 2 more answers
Simplify <br> (-8x to the 6th power) (4x to the 2nd power)
hoa [83]
This equation in numbers:
(-8x)^6 • (4x)^2
(262144•x^6) • (16x^2)
4,194,304x^8
4 0
3 years ago
Can the numbers 24,32,40 be the lengths of the three sides of a right triangle? Explain why or why not
SpyIntel [72]

Answer:

Yes .The Pythagorean equation is true.

Step-by-step explanation:

yes, they can, because of the equation below :

a² = b² + c²

40² = 32² + 24²

1600 = 1024 + 576

1600 = 1600 ✓

7 0
2 years ago
Write an expression that represents n plus 7 multiplied by 3.
diamong [38]
The <span>expression that represents n plus 7 multiplied by 3 is
(n + 7)(3)
The entire expression, (n + 7) is multiplied by 3 since it would be inconvenient to state the expression as given above if what is meant was
(n + 7x3). It would have simply been n plus 21.</span>
7 0
3 years ago
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