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givi [52]
3 years ago
11

Write as an equation: Alice, Barbara, and Carol are sisters. Alice is 3 years younger than Barbara, and Barbara is 5 years young

er than Carol. Together the sisters are 68 years old. How old is Barbara? (Let b = Barbara)
Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0

a+b+c=68

b-3=a

c-5=b

now just solve the system of equations, substitue so that there are only b's in the equation:

a+b+c=68

(b-3) + b + (b+5) = 68

3b=66

b=22

Therefore Barbara is 22

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lets \:  \:  \: find \:  \: the \:  \: radius \\  = 2\pi \: r \\  = 2\pi \: r = 84 \\  =  \frac{2\pi \: r}{2\pi }  =  \frac{84}{2\pi}  \\  = r = 13.37mm

lets \:  \:  \: find \:  \: the \:  \:  \: area \\  = \pi {r}^{2}  \\  = \pi \times  {13.37}^{2}  \\  = 561.55 {mm}^{2}

lets \:  \:  \: find \:  \:  \: the \:  \: diameter \\  = d = 2r \\  = d = 2 \times 13.37 \\  = d = 26.74mm

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Step-by-step explanation:

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Given g(x) = x4 + 2x3 - 7x2 - 8x + 12. When g(x) is divided by x - 1, which conclusion about g(x) is true?
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C

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Next we can use the equation x=\frac{-b}{2a} that is used in order to find the vertex of the parabola.

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This rules option D out.

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