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2 years ago

HELP PLZZZZZ OMGGGGGGG

Mathematics

1 answer:

Sidana [21]2 years ago

3 0

The money is a lot so it would be c

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If log(x + y) = log 3 + ½log x + ½log y, prove that x² + y² = 7xy

Free_Kalibri [48]

Answer:

See Explanation

Step-by-step explanation:

$log(x + y) = log3 + \frac{1}{2} logx+ \frac{1}{2} logy \\ \\ log(x + y) = log3 + logx ^{\frac{1}{2}} + logy ^{\frac{1}{2}}\\ \\ log(x + y) = log3 + log(xy) ^{\frac{1}{2}} \\ \\ log(x + y) = log[3(xy) ^{\frac{1}{2}}] \\ \\ x + y = 3(xy) ^{\frac{1}{2}} \\ \\ squaring \: both \: sides \\ {(x + y)}^{2} = \bigg(3(xy) ^{\frac{1}{2}} \bigg)^{2} \\ \\ {x}^{2} + {y}^{2} + 2xy = 9xy \\ \\ {x}^{2} + {y}^{2} = 9xy - 2xy \\ \\ \purple{ \bold{{x}^{2} + {y}^{2} = 7xy}} \\ thus \: proved$

7 0

2 years ago

Read 2 more answers

F(x)=|x| to graph g(x)=|x|+3

Damm [24]

Answer:

the graph is as illustrated above

The absolute value of x is shifting 3 units up

7 0

2 years ago

What is the length of ST?

defon

Answer:

5 cm

Step-by-step explanation:

Let's assume this is a number line were given.

Distance of S from 0 = 4 units

Distance of T from 0 = 9 units

Length of ST = the difference between T and S

ST = |9 - 4| = 5 units = 5 cm

This means S and T are 5 cm apart.

3 0

2 years ago

The zeros of a quadratic function are -8 and 5. Write the quadratic function in Standard Form.

nataly862011 [7]

Answer:

y = x² + 3x - 40

Step-by-step explanation:

Given the zeros are x = - 8 and x = 5, then the factors are

(x + 8) and (x - 5) and

y = (x + 8)(x - 5) ← expand factors

y = x² - 5x + 8x - 40, hence

y = x² + 3x - 40 ← in standard form

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2 years ago

Natalie is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 6 inches x 13 1/2 in

Leya [2.2K]

Answer:

1. 81

2. 108 1/2

3. 189 1/2

Step-by-step explanation:

7 0

3 years ago