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3 years ago

Given xy = 4 and x2 + y2 = a, which expression is equal to (x + y)2? a + 6 a + 8 a + 4

Mathematics

1 answer:

likoan [24]3 years ago

6 0

Answer:

a + 8

Step-by-step explanation:

Note that

(x + y)² = x² + 2xy + y²

= x² + y² + 2xy

= a + 2(4) = a + 8

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3 years ago

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3 years ago

Read 2 more answers

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3 years ago

3. Uncle Gino's Pizza Parlor sold 200 sausage

Burka [1]

3. They sold 250 pizzas last week.

4. There are 80 tropical fish in the shipment.

5. 150 students were surveyed.

6. The total size of file is 1000 megabytes.

Step-by-step explanation:

3. Uncle Gino's Pizza Parlor sold 200 sausage pizzas last week. That was 80% of the total pizzas they sold. How many total pizzas did they sell last week?

Given,

Pizzas sold last week = 200

This represents 80% of total pizzas sold.

Let,

x be the total pizzas sold.

80% of x = 200

$\frac{80}{100}x=200\\0.8x=200$

Dividing both sides by 0.8

$\frac{0.8x}{0.8}=\frac{200}{0.8}\\x=250$

They sold 250 pizzas last week.

4. The local pet store received a shipment of tropical fish. Seventy-five percent of the tropical fish were clown-fish. If the shipment included 60 clown-fish, how many total tropical fish were in the shipment?

Given,

Number of clown-fish in shipment = 60

This represents 75% of total shipment.

Let x be the total number of fish in shipment.

75% of x = 60

$\frac{75}{100}x=60\\0.75x=60$

Dividing both sides by 0.75

$\frac{0.75x}{0.75}=\frac{60}{0.75}\\x=80$

There are 80 tropical fish in the shipment.

5. In a survey of favorite pets, 45 students said they preferred cats. This was 30% of the total number of students surveyed. How many students took the survey?

Given,

Number of students who preferred cats = 45

This represents 30% of total students surveyed.

Let, x be the number of total students surveyed.

30% of x = 45

$\frac{30}{100}x=45\\0.3x=45$

Dividing both sides by 0.3

$\frac{0.3x}{0.3}=\frac{45}{0.3}\\ x=150$

150 students were surveyed.

6. Kara has downloaded 250 megabytes of a file onto her computer. The screen tells her that this is 25% of the total file. How many megabytes is the file?

Given,

File downloaded = 250 MB

This represents the 25% of total size of file.

Let, x be the total size of file.

25% of x = 250

$\frac{25}{100}x=250\\0.25x=250\\$