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FromTheMoon [43]
4 years ago
15

X^2+43xy+590y^2 resolve into factors​

Mathematics
1 answer:
Natalija [7]4 years ago
7 0

Step-by-step explanation:

We have:

x - y = 43 , xy = 15

To find, the value of x^2+y^2x

2

+y

2

= ?

∴ x - y = 43

Squaring both sides, we get

(x - y)^2(x−y)

2

= 43^243

2

⇒ x^2+y^2x

2

+y

2

- 2xy = 1849

Using the algebraic identity,

(a - b)^2(a−b)

2

= a^2+b^2a

2

+b

2

- 2ab

⇒ x^2+y^2x

2

+y

2

= 1849 + 2xy

Put xy = 15, we get

x^2+y^2x

2

+y

2

= 1849 + 2(15)

⇒ x^2+y^2x

2

+y

2

= 1849 + 30

⇒ x^2+y^2x

2

+y

2

= 1879

∴ x^2+y^2x

2

+y

2

= 1879

I will send hint follow this hint then slove it .

thankyou

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Chef needs to prepare 32 Servings of cooked beans, each portion 3 oz. How 29. any 12 oz. cans should Chef order, if the Yield fa
Rus_ich [418]

Answer:

10 cans

Step-by-step explanation:

Number of servings to be prepared = 32

Weight of each pound = 3 oz

Yield factor per can = 0.8

Now,

Total weight of the cans = 32 × 3 = 96 oz

Actual weight required with yield factor 0.8 = \frac{96\ oz}{0.8} =  120 oz

Therefore,

The number of 12 oz cans required = \frac{120}{12}  = 10 cans

5 0
4 years ago
Can someone please help me <3
Maslowich

Answer:

x = 9

Step-by-step explanation:

10 + x/3 = 13

x/3 = 13 -10

x/3 = 3

x = 3*3 = 9

4 0
3 years ago
Read 2 more answers
Can someone help me plz
galina1969 [7]
A= about 75 cents -- This is because you would figure out what 5% is equal to (.05). Then, you would do .05 x 14.90 to get the amount of sales tax you will be paying. By doing this you will get .745 which is approximately .75 which would become 75 cents

b= $15.65 -- For this one, you would do the cents (.75) plus the total (14.90) So you would do 14.90+.75 which = 15.65.

Hope this helped :)
4 0
3 years ago
Decide if the expressions in each pair are equivalent. Explain how you know.
iren2701 [21]

Answer:

x+x+x+x = 4x

5x ≠ x+5

Step-by-step explanation:

x+x+x+x, there are 4 x's, which means they equal to 4x

5x means there are 5 x's, so 5x = x+x+x+x+x, not x+5.

3 0
3 years ago
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Please help math finals!!!What is the equation of the line that has a slope of 14 and goes through the point (8,−3)
katovenus [111]

I'm taking the same final test.

The answer is y= 1/4x - 5

How? Well in this case we are using the formula y= mx + b

Substituting it with the given point (8, -3) and the slope 1/4

it'll look like -3 = 1/4 (8) + b

Next we solve.

-3 = 1/4 (8) + b

-3 = 8/4 + b

-3 = 2 + b

-2 -3 = b

-5 = b

so we now we know that b = -5.

All we have to do is substitute that into the equation to get our final answer (this time, without the point 8,-3).

Our answer in the end is y = 1/4x -5

7 0
3 years ago
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