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3 years ago

Find and interpret the slope of the line containing the given points. (12,4) and (10,10)

Mathematics

1 answer:

MAVERICK [17]3 years ago

3 0

Answer:

3/-1

Step-by-step explanation:

The slope is 3/-1 (Rise 3 on the y axis, run to the negatives by 1 on the x axis)

To find the slope of two points, use the formula of y2-y1/x2-x1 (For example, with this equation it would be 10-4/10-12)

I'm not sure what it means to interpret the slope, but hopefully this helped you!

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Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14

Mumz [18]

Answer:

$Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

Step-by-step explanation:

The equation of the curve is

$Y = sin^{-1}(7x)$

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

$Y'=\frac{7}{\sqrt{1-49x^2} }$

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is $x = \sqrt{\frac{1}{7} }$

Then slope would accordingly be

$Y'=\frac{7}{\sqrt{1-49/49} }$

= ∞

For, $x = \sqrt{\frac{1}{7} }$ , $Y = sin^{-1}(7/7)= \pi/2$

Equation of tangent line, in the point slope form, would be $Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

4 0

2 years ago

Which is a graph of y=3. - 1?

mixer [17]

Answer:

Step-by-step explanation:

7 0

2 years ago

Which set of numbers is infinite?

Setler [38]

B is the answer to your question

3 0

2 years ago

(a)/(2a)+(4)/(3a^(2)) ayuda por favor

Irina-Kira [14]

Answer:

3a^2+8/6a^2

Step-by-step explanation:

there ya go hope this helps

5 0

2 years ago

6.7z = 5.2z + 12.3 z=

vladimir1956 [14]

Answer:

z = 8.2

Step-by-step explanation:

6.7z = 5.2z + 12.3

combine like terms by subtracting 5.2z from both sides

1.5z = 12.3

divide by 1.5

z = 8.2

7 0

3 years ago

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