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3 years ago

F(x)=x^2+1, (4,17) find slope

Mathematics

1 answer:

labwork [276]3 years ago

7 0

Answer:

ITS NOT A LINEAR EQUATION SO IT DOES NOT HAVE A SLOPE

Step-by-step explanation:

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true if that's what ur looking for. hope this helps

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3 years ago

a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

GrogVix [38]

Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

The equation of a line:

$y=mx+b$

We have

$m=\dfrac{2}{3}$

substitute:

$y=\dfrac{2}{3}x+b$

The formula of a distance between a point and a line:

General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}$

Convert the equation:

$y=\dfrac{2}{3}x+b$ |subtract $y$ from both sides

$\dfrac{2}{3}x-y+b=0$ |multiply both sides by 3

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

$4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}$

$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |multiply both sides by $\sqrt{13}$

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |divide both sides by 3

$b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}$

Finally:

$y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}$

4 0

2 years ago

What are the domain and range of g(x) = -2(x – 10)2 + 12?

disa [49]

Answer:

Step-by-step explanation:

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2 years ago

Use the distributive property to simplify this expression: negative 2 (3 x + x minus 5). 1. Using order of operations, combine l

sashaice [31]

Answer:

8x-10

Step-by-step explanation:

2x3x=6x, 2 x x=2x, 2x-5=-10 so 6x+2x-10= 8x-10

5 0

3 years ago

Read 2 more answers

Side of a rhombus is 5cm.if the lengthof one diagnol is 8cm,find the other

TEA [102]

Answer: the others are 5cm and 8cm

Step-by-step explanation:

this is because a rhombus is the same as a rectangle or square and they have equal two sides

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3 years ago