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marshall27 [118]
3 years ago
11

Find a quadratic equation whose roots are 1.5 +√2 and 1.5-√2expressing it in the form of ax^2+bx+c+c=0 where a,b and c are integ

ers with step by step explanations
Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0

0 = f(x) = (x - r)(x - s) = x² - (r+s) + rs

We have r=1.5+√2,  s=1.5 -√2 so r+s = 3 and

rs = (1.5+√2)(1.5 - √2) = 1.5² - (√2)² = 2.25 - 2 = 0.25

f(x) = x² - 3x + -.25

For integer coefficients we mulitply by 4,

g(x) = 4f(x) = 4x² - 12x - 1

Answer:  4x² - 12x - 1 = 0

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Express 75° in radians. Round to the nearest hundredth.
allsm [11]
Hello!

To convert degrees to radians you multiply it by \frac{ \pi }{180}. We will do so below.

75(\frac{ \pi }{180})≈1.31

Therefore, the correct answer is A.1.31 radians.

I hope this helps!
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3 years ago
Can 1,1,2 be the length is a triangle
Sholpan [36]
Alright, so in order to find this, you will nee to use the Triangle Inequality Theorem.
We’ll make the values = to variables to make it easier. a=1 b=1 c=2
All of the inequities need to be true.
a+b>c
b+c>a
c+a>b
Now replace the variables.
1+1>2 2>2 (False)
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If the perimeter of an equilateral triangle is 6√3, find its area​
Natalka [10]

Answer:

3√3

Step-by-step explanation:

Side of an equilateral triangle: perimeter/3 = 2√3

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8 0
2 years ago
Read 2 more answers
Find mu if mu equals Summation from nothing to nothing [x times Upper P (x )]. ​Then, find sigma if sigma squared equals Summati
Stella [2.4K]

Answer:

mu = x√P(x) - £

£ = x√P(x) - xP(x)

Step-by-step explanation:

We have two equations there. Laying them simultaneously, we can derive the formula for "mu" and sigma. Let sigma be "£"

Equation 1

mu = £[xP(x)]

Equation 2

£^2 = x^2 P(x) - (mu)^2

Since we have sigma raised to power 2 (that is sigma square), we find sigma by square rooting the whole equation.

Hence sigma is equal to

[x√P(x) - mu] ...(3)

Since mu = xP(x), we substitute this into equation (3) to get

Sigma = x√P(x) - xP(x)

mu = x√P(x) - £

8 0
3 years ago
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