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2 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Mathematics

1 answer:

kherson [118]2 years ago

6 0

Answer:

b. $\displaystyle 225y^2 + 150xy + 100x^2 = 225y^2 + 150xy + 100x^2$

a. $\displaystyle [8x + 12y]^2 + [6x + 9y]^2 = [10x + 15y]^2$

Step-by-step explanation:

b. $\displaystyle 225y^2 + 150xy + 100x^2 = 225y^2 + 150xy + 100x^2$

a. $\displaystyle [8x + 12y]^2 + [6x + 9y]^2 = [10x + 15y]^2$

The two expressions are identical on each side of the equivalence symbol, therefore they are an identity.

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The sum of two numbers is 90. Their difference is 18. Find the numbers.

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Answer:

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Step-by-step explanation:

By Question :-

Sum of numbers = 90 .
Difference of numbers = 18 .

Let :-

First Number be x .
Second number be y .

According to 1st condition :-

$: \implies$ x + y = 90

According to 2nd condition :-

$: \implies$ x - y = 18

Adding the equations :-

$: \implies$ 2x = 18 + 90

$: \implies$ 2x = 108

$: \implies$ x = 54

Therefore :-

$: \implies$ First number = 54

$: \implies$ Second number = 36

5 0

2 years ago

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If a square garden has a perimeter of 20 yards, what is its area?

olga_2 [115]

Answer:

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kogti [31]

Answer:

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Step-by-step explanation:

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8 0

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A survey shows that 10% of the population is victimized by property crime each year. A random sample of 527 older citizens (65 y

jekas [21]

Answer:

The data provide sufficient evidence that older people are more likely to be victimized.

Step-by-step explanation:

H 0 : P = 0.10

H 1 : P > 0.10 (Right tailed test)

n = 527, P = 0.1235

The test statistics

x = P - p / $\sqrt{p*(1-p) / n}$

x = 0.1235 - 0.10 / $\sqrt{0.10 * 0.90 / 527}$

x = 0.0235 / $\sqrt{0.09 / 527}$

x = 0.0235 / $\sqrt{0.00017077798}$

x = 0.0235 / 0.0130682049264618

x = 1.798257689731729

x = 1.798

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P value = 0.036089

The P - Value is very small, so reject H0

Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.

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