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denis23 [38]
3 years ago
12

Find ​(a) the slope of the curve at the given point​ p, and ​(b) an equation of the tangent line at p. y=−2−9x2​; ​p(2​,−38​)

Mathematics
1 answer:
Neporo4naja [7]3 years ago
6 0

Answer:

a) -36

b) y = -36x +34

Step-by-step explanation:

a) The slope is found using the derivative of the function.

  f'(x) = dy/dx = 0 -9(2x) = -18x

Then at x=2, the slope is ...

  f'(2) = -18·2 = -36

___

b) The point-slope form of the equation can be written as ...

  y = -36(x -2) -38

Simplifying to slope-intercept form, we get ...

  y = -36x +34

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Step-by-step explanation:

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3 years ago
Rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?
Olegator [25]

Answer:

36 units²

Step-by-step explanation:

rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

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12 * 3 =<em> </em>

<em>36 units²</em>

<em>-----------------------</em>

check

36 : 12 = 3

the answer is good

7 0
1 year ago
Solve the following quadratic equation. (x+12)^2=1 A. x = 11 and x = 13 B. x = -11 and x = -13 C. x = -11 and x = 13 D. x = 11 a
sveticcg [70]

Answer:

b

Step-by-step explanation:

(x+12)^2=1

or

(x+12)= +or - 1

when

x+12=1

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when

x+12=-1

x=-1-12 =-13

then

x=-11 and x= -13

7 0
3 years ago
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stiv31 [10]

Answer:

This is false.

Step-by-step explanation:

Hope this helps!!

3 0
3 years ago
Read 2 more answers
I NEED HELP ASAP!!!!!!!!!!!!!!!
bagirrra123 [75]

Answer:

\tan(j)  =  \frac{35}{12}  = 2 \times \frac{9}{12}

Step-by-step explanation:

remember: tan(theta) = opposite/adjacent

3 0
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