Find the missing value. Hint: use the number line to find the missing value −5 = −8 − __

Can someone help with that? if x+y=2, calculate: P=4x (x-3)+4y(y-3)+8xy

olganol [36]

Answer:

Step-by-step explanation:

P = 4x(x - 3) + 4y(y - 3) + 8xy

= 4x² - 12x + 4y² - 12y + 8xy

= (4x² + 8xy + 4y²) - (12x + 12y)

= 4(x² + 2xy + y²) - 12(x + y)

= 4(x + y)² - 12(x + y)

x+y =2 ⇒ P = 4.2² - 12.2 = 16 - 24 = -8

6 0

3 years ago

What is the sum of ? I will put a pic if the answer is correct ill mark brainlist

olga2289 [7]

$\text{The sum of } 1\frac{7}{10} \text{ and } 3\frac{3}{5} \text{ is } 5\frac{3}{10}$

Solution:

Given that we have to find the sum of $1\frac{7}{10} \text{ and } 3\frac{3}{5}$

Let us first convert the mixed fractions to improper fractions

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator

Therefore,

$1\frac{7}{10} = \frac{10 \times 1 + 7}{10} = \frac{10+7}{10} = \frac{17}{10}\\\\3\frac{3}{5} = \frac{5 \times 3 + 3}{5} = \frac{18}{5}$

Now we can add both the fractions

$1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18}{5}$

Make the denominators same

$1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18 \times 2}{5 \times 2}\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{36}{10}\\\\\text{Add the fractions since the denominator is same }\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17+36}{10} = \frac{53}{10}$

Now convert the fraction to mixed number

When we divide 53 by 10 , the remainder is 3

Therefore, write 5 as a whole number and and 3 as numerator and 10 as denominator

$\frac{53}{10} = 5\frac{3}{10}$

Thus the sum of given mixed fraction is $5\frac{3}{10}$

6 0

3 years ago

What is the value of the expression when c=-5 and d=2?

Andre45 [30]

The answer is D. -169

4 0

3 years ago

Read 2 more answers

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 17

yawa3891 [41]

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Equation Given
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x² + 2x = 17

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Add the constant to make it perfect square
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x² + 2x + (2/2)² - ²(2/2)² = 17

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Evaluate the brackets
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x² + 2x + (1)² - ²(1)² = 17

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Form the perfect square
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(x + 1)² - 1 = 17

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Add 1 to both sides
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(x + 1)² = 17 + 1
(x + 1)² = 18

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Square root both sides
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√(x + 1)² = $\pm$ √18

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Solve for x
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x = 4.24 - 1 or - 4.24 -1

x = 3.24 or - 5.24 (nearest hundredth)

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Answer: x = x = 3.24 or - 5.24
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7 0

4 years ago

1. Which equations represents a quadratic function? A. y = 3 + 2x2

stepladder [879]

B is the answer dude

3 0

3 years ago

Find the missing value. Hint: use the number line to find the missing value −5 = −8 − ___