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Lunna [17]
3 years ago
12

If xy=15 and x+y=5, find x^2+y^2

Mathematics
1 answer:
lora16 [44]3 years ago
8 0

Answer:

- 5

Step-by-step explanation:

Note that

(x + y)² = x² + 2xy + y², thus

x² + y² = (x + y)² - 2xy ← substitute given values

          = 5² - 2(15)

          = 25 - 30

          = - 5

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At a movie theater, tickets for children cost $8 each and adult tickets cost $8.75 each. Of ticket sales for a group of 35 peopl
alexandr402 [8]

Answer:

The results don't make sense

Step-by-step explanation:

We can solve by means of a 2x2 system of equations, we have to:

"x" is the number of children's tickets

"y" is the number of adult tickets

Thus:

8 * x + 8.75 * y = 259

 x + y = 35 => x = 35 - y

replacing we have:

 8 * (35 - y) + 8.75 * y = 259

280 - 8 * y + 8.75 * y = 259

 - 8 * y + 8.75 * y = 259 - 280

0.75 * y = -21

y = -21 / 0.75

y = -28

Thus:

x = 35 - (-28) = 63

With these results we notice that the problem has inconsistency, since the value of the tickets cannot be given a negative number, I recommend reviewing the problem, since the approach is correct.

3 0
3 years ago
What is the product?
Olenka [21]

The value of the product expression (-2x-9y²)(-4x-3) is 8x² + 6x + 27y² + 36xy²

<h3>How to evaluate the product?</h3>

The expression is given as:

(-2x-9y²)(-4x-3)

Expand the expression

8x² + 6x + 27y² + 36xy²

Hence, the value of the product expression (-2x-9y²)(-4x-3) is 8x² + 6x + 27y² + 36xy²

Read more about products at:

brainly.com/question/10873737

#SPJ1

3 0
2 years ago
This table shows a family's monthly budget. What percentage of the budget is allocated for entertainment? Round to the nearest t
lutik1710 [3]

Answer:

A)4.1%

Step-by-step explanation:

First you need to add all the payments together to get your total.

1400+300+150+800+300+150+100+100+150+200=3650

Then you cross multiply and divide to get the percentage.

\frac{entertainment}{total} \frac{150}{3650}=\frac{x}{100}

When you cross multiply and divide x≈4.1

8 0
3 years ago
Read 2 more answers
one rectangle measures 2 units by 7 units. a second rectangle measures 11 units by 37 units. are these two figures scaled versio
Amanda [17]

Answer: The both triangle are not scale version to each other.

Explanation:

It is given that the one rectangle measures 2 units by 7 units. a second rectangle measures 11 units by 37 units.

The two shapes are scaled version of each other if their corresponding sides are in same proportion. In other words the if two shapes scaled version of each then the shapes are similar.

The sides or first rectangle are 2 and 7. The measures of second rectangle are 11 and 37.

The proportion of small side is,

\frac{2}{11}

The proportion of large side is,

\frac{7}{37}

So,

\frac{2}{11}\neq \frac{7}{37}

Since the proportion are not equal, therefore  both triangle are not scale version to each other.

6 0
3 years ago
Which equation has no solution?
Sergeu [11.5K]
Do each equation individually and compare if they are the same end answer in each question. which ever one is unequal than that is the answer
3 0
3 years ago
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