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4 years ago

What is the equation in point slope form of a line that passes through the point (−8, 2) and has a slope of 1/2 ?

Mathematics

1 answer:

IRINA_888 [86]4 years ago

3 0

$y - 2 = \frac{1}{2} (x - ( - 8))$

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If A = {1, 2, 3, 4}, what is n(A)?

Elis [28]

Answer:

Step-by-step explanation:

Count the number of elements in A

n(A) = 4

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4 years ago

Find the equation of the line tangent to y = -3x2 + x - 5 at x = -1

SVEN [57.7K]

$\boxed{y+9=7(x+1)}$

<h2>Explanation:</h2>

The Point-Slope form of the equation of a line is given by:

$y-y_{0}=m(x-x_{0}) \\ \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{0},y_{0}):A \ point$

To find the equation of the line tangent to $y=-3x^2+x-5 \ at \ x=-1$ , we need to take the derivative:

$\frac{dy}{dx}=-6x+ 1$

The slope of the line tangent to $y=-3x^2+x-5$ at $x=-1$ can be found evaluationg $x=1$ in the derivative:

$\frac{dy}{dx}\Bigr\rvert_{x=-1}=-6x+ 1 \\ \\ \\ \frac{dy}{dx}\Bigr\rvert_{x=-1}=-6(-1)+ 1 \\ \\ \\ m=\frac{dy}{dx}\Bigr\rvert_{x=-1}=7$

Finding the point:

$x_{0}=-1 \\ \\ Then: \\ \\ y_{0}=-3(-1)^2-1-5=-9 \\ \\ (x_{0},y_{0})=(-1,-9)$

Finally, our line is:

$y-(-9)=7(x-(-1)) \\ \\ \boxed{y+9=7(x+1)}$

The representation of this problem is shown below.

<h2>Learn more:</h2>

Derivative of functions: brainly.com/question/2142425

#LearnWithBrainly

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3 years ago

What is the circumference of the given circle in terms of pi

elixir [45]

The answer is 30pi in.

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4 years ago

What is (5x-7)-(3x-4)?

Mekhanik [1.2K]

You will need to subtract 3x from 5x, then since there is a minus sign in front of the 7 it will count as a -7, so u add 7 cross it out and then add 7 to the -4(which is also negative cause it has a minus sign in front) and then you have ur answer

5x-3x=2x
7+ -4= 3
Answer: 2x-3

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3 years ago

A square corner of 16 square centimeters is removed from a square paper with an area of 9x2 square centimeters. Which expression

Mila [183]

I just took it on edgenuity. It's c

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3 years ago

Read 2 more answers