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2 years ago

Evaluate the expression 3.14(7)^2

Mathematics

1 answer:

ruslelena [56]2 years ago

6 0

Answer:

153.86

Step-by-step explanation:

3.14(7)^2

3.14 × (7 × 7)

3.14 × 49

153.86

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Step-by-step explanation:

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Need help with 17 pre college

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2 years ago

F(x) = 5x^2 - 8x - 5 what is the value of f(10) ?

Dominik [7]

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3 years ago

Nancy found that x = 1 is one solution to the quadratic equation (x + 2)2 = a. What is the value of a?

solniwko [45]

ANSWER

a=9

EXPLANATION

The given quadratic equation is

${(x + 2)}^{2} = a$

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Therefore the value of 'a' is 9

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3 years ago

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If a = √3-√11 and b = 1 /a, then find a² - b²

Serga [27]

If $b=\frac1a$ , then by rationalizing the denominator we can rewrite

$b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8$

Now,

$a^2 - b^2 = (a-b) (a+b)$

and

$a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8$

$a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8$

$\implies a^2 - b^2 = \dfrac{\left(9\sqrt3 - 7\sqrt{11}\right) \left(7\sqrt3 - 9\sqrt{11}\right)}{64} = \boxed{\dfrac{441 - 65\sqrt{33}}{32}}$

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1 year ago