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sesenic [268]
3 years ago
5

Identify the slope and y-intercept of the line x + 3y = -18.

Mathematics
1 answer:
Dmitry [639]3 years ago
6 0

Answer:

Slope: -1/3

Y-intercept: -6

Step-by-step explanation:

x + 3y = -18

x+18 = 3y

-3y/-3 = x/-3+18/-3

y = -1/3x - 6

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4 0
3 years ago
The circumference of the ellipse approximate. Which equation is the result of solving the formula of the circumference for b?
Serhud [2]

Answer:

b = \sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}

Step-by-step explanation:

Given - The circumference of the ellipse approximated by C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }where 2a and 2b are the lengths of 2 the axes of the ellipse.

To find - Which equation is the result of solving the formula of the circumference for b ?

Solution -

C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }\\\frac{C}{2\pi }  =  \sqrt{\frac{a^{2} + b^{2} }{2} }

Squaring Both sides, we get

[\frac{C}{2\pi }]^{2}   =  [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2}  }   =  {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2}  }   =  {{a^{2} + b^{2} }

\frac{C^{2} }{2(\pi )^{2} }  = a^{2} + b^{2} \\\frac{C^{2} }{2(\pi )^{2} }  -  a^{2} = b^{2} \\\sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}  = b

∴ we get

b = \sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}

8 0
3 years ago
Simplify the expression.<br> -5+i/2i
Lostsunrise [7]

Answer:

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Step-by-step explanation:

\rm Simplify \:  the  \: following: \\   \rm \longrightarrow - 5 +  \dfrac{i}{2} i \\  \\  \rm Combine \:  powers. \\  \rm  \dfrac{i \times i}{2}  =  \dfrac{i^{1 + 1}}{2}: \\  \rm \longrightarrow  - 5 +  \dfrac{i^{1 + 1}}{2}  \\  \\  \rm 1 + 1 = 2: \\ \rm \longrightarrow  - 5 +  \dfrac{i^2}{2}  \\  \\  \rm i^2 = -1: \\ \rm \longrightarrow  - 5 +   \dfrac{( - 1)}{2}   \\  \\  \rm \longrightarrow  - 5 -  \dfrac{1}{2}   \\  \\  \rm Put   \:   - 5 -  \dfrac{1}{2}   \: over  \: the  \: common \:  denominator  \: 2.  \\  \rm   - 5 -  \dfrac{1}{2}   =  \dfrac{2( -  5)}{2} -  \dfrac{1}{2}  : \\   \rm \longrightarrow  \dfrac{ - 5 \times 2}{2}  -  \dfrac{1}{2}  \\  \\  \rm 2 (-5) = -10: \\    \rm \longrightarrow    \dfrac{ - 10}{2}  -  \dfrac{1}{2}  \\  \\  \rm \dfrac{ - 10}{2}  -  \dfrac{1}{2}  =  \dfrac{ - 10 - 1}{2} : \\   \rm \longrightarrow \dfrac{ - 10 - 1}{2}  \\  \\  \rm -10 - 1 = -11: \\    \rm \longrightarrow  -  \dfrac{11}{2}

7 0
3 years ago
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telo118 [61]

Answer:-8x^2-6x+36xy^2+27y^2

Step-by-step explanation:

using the FOIL method

6 0
3 years ago
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