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GalinKa [24]
3 years ago
10

Write the equation in slope-intercept form of the line that has a slope of 6 and contains the point (1, 1)

Mathematics
2 answers:
svlad2 [7]3 years ago
8 0
m=6  , \ \ \ (1, 1) \\ \\To \  find \ our \  equation \ we \ will \ use \ the \ formula: \\ \\ y - y _{1} = m(x - x _{1}), wherem \ is \  the \ slope \ and \ (x _{1}, y _{1}) \  is \  the  \ point \\ \\m=6 , \ \ x_{1}=1 , \ \ y_{1} = 1\\\\y - 1 =  6(x-1)\\\\y-1=6x -6 \\\\y=6x-6+1\\\\y=6x-5
sergeinik [125]3 years ago
7 0
Y=ax+b 
slope is 6 so y=6x+b
point is putting to y=6x+b
1=6*1+b
b=-5
y=6x-5
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Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Westkost [7]

9514 1404 393

Answer:

  circle of radius 27 inches

Step-by-step explanation:

Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.

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7 0
3 years ago
Perform the indicated operations. Write the answer in standard form, a+bi.<br> 5-3i / -2-9i
Vsevolod [243]

\huge \boxed{\mathfrak{Answer} \downarrow}

\large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\

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\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)})  \\

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\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}})  \\

By definition, i² is -1. Calculate the denominator.

\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85})  \\

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\large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85})  \\

Do the multiplications in \sf5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9\left(-1\right).

\large \bf \: Re(\frac{-10+45i+6i+27}{85})  \\

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\large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85})  \\

Do the additions in \sf-10+27+\left(45+6\right)i.

\large \bf Re(\frac{17+51i}{85})  \\

Divide 17+51i by 85 to get \sf\frac{1}{5}+\frac{3}{5}i \\.

\large \bf \: Re(\frac{1}{5}+\frac{3}{5}i)  \\

The real part of \sf \frac{1}{5}+\frac{3}{5}i \\ is \sf \frac{1}{5} \\.

\large  \boxed{\bf\frac{1}{5} = 0.2} \\

3 0
3 years ago
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Bas_tet [7]

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5 0
3 years ago
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Eva8 [605]

Answer:

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Step-by-step explanation:

Properties used:-

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4 0
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diamong [38]
It's c 18, because the diameter is the longest chord so it would be greater than 15.
6 0
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