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Alchen [17]
3 years ago
15

Write an equation in point-slope form for the line through the given point with the given slope.

Mathematics
1 answer:
Lilit [14]3 years ago
7 0

The correct answer is D) y + 1 = 4/3(x - 9)

In order to find this, simply take the point and the slope and plug into the base form of point-slope form.

y - y1 = m(x - x1)

Use the slope for m and the point for (x1, y1)

y + 1 = 4/3(x - 9)

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Which value is NOT a solution of 8x3 – 1 = 0?
Tpy6a [65]

<u><em>Note: As you may have unintentionally missed to add the value choices. But, I would make sure to explain the concept so that you may improve your understanding in terms of solving these type of questions.</em></u>

Answer:

Any value other than the values x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4} will not be a solution of 8x^3\:-\:1\:=\:0.

Step-by-step explanation:

Considering the equation

8x^3\:-\:1\:=\:0

Steps to solve the equation

8x^3-1=0

\mathrm{Add\:}1\mathrm{\:to\:both\:sides}

8x^3-1+1=0+1

\mathrm{Simplify}

x^3=\frac{1}{8}

\mathrm{Divide\:both\:sides\:by\:}8

\frac{8x^3}{8}=\frac{1}{8}

\mathrm{Simplify}

x^3=\frac{1}{8}

As

\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}

x=\sqrt[3]{\frac{1}{8}},\:x=\sqrt[3]{\frac{1}{8}}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{\frac{1}{8}}\frac{-1-\sqrt{3}i}{2}

So,

x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4}

Therefore,

Any value other than the values x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4} will not be a solution of 8x^3\:-\:1\:=\:0.

Keywords: solution, value

Learn more about equation solution from  brainly.com/question/1679491

#learnwithBrainly

7 0
3 years ago
The graph has y-intercept (0, 6) and contains the point (2, 1).
prisoha [69]

Answer:

5x + 2y = 12

Step-by-step explanation:

Direction factor = (2, 1) - (0, 6) = (2, -5)

So, normal factor = (5, 2)

Line: 5x + 2y = k

(0, 6) -> L: 0 + 12 = 12 = k

L: 5x + 2y = 12

5 0
3 years ago
What is surface area? any of the individual surfaces of a solid object a pattern of two-dimensional shapes that can be folded to
spin [16.1K]

Answer:

Any of the individual surfaces of a solid object pattern of three dimensional shapes.

Step-by-step explanation:

Surface area of a solid object is the measure of the total area of the surface of three dimensional objects. Example a sphere and a cube is a three dimensional objects.

4 0
3 years ago
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Planes A and B are shown.
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Answer:

b

Step-by-step explanation:

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A rock climber ascends 18 3/4 feet to the top of a rock ledge the climber descends 8 1/8
ratelena [41]

Answer:

10 10\frac{5}{8}

Step-by-step

Reduce \frac{3}{4} to \frac{6}{8} and simply subtract.

5 0
2 years ago
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