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alisha [4.7K]
3 years ago
9

For the curve y = ln(x 2 − 3), find the equation of the tangent line at (2, 0).

Mathematics
1 answer:
denis23 [38]3 years ago
3 0
Y' = 2x/(x^2 -3)  y'(2) = 4
Using the point slope equation:
y-0 = 4(x-2)
y = 4x - 8
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to cover a rectangular region of her yard penny needs at least 170.5 square feet of sod. the length of the region is 15.5 feet.
pshichka [43]
To cover at least 170.5 sq.ft. the width must be at least 11 feet
W=170.5sq.ft / 15.5 ft = 11ft
7 0
3 years ago
Madison spent 3 times as long on her social project as she did on her other project. If she spent a total of 8 hours on he proje
deff fn [24]

Answer:

6 hours

Step-by-step explanation:

Suppose Madison spent x hours on her social project,

then the number of hours spent on other project will be 1/3 of x=x/3

Total hours spend on all projects will be the addition of hours spent on social project and hour spent on other project, i.e

x + x/3 = 4x/3

It si given that this is 8 hours, therefore

4x/3=8

Multiplying both sides by 3:

4x=24

Dividing across board by 4:

x= 6 hours

5 0
2 years ago
Line L pases through Sand R. Determine the slope of L.
mart [117]

Answer:

hi you answer should be 5/3

Step-by-step explanation:

Hope this helps!

8 0
2 years ago
you can see that there is 8 cm in middle of the trapezoid. above the trapezoid, it says 6 cm, below the trapezoid, it says 11 cm
aniked [119]

Answer:

The measure of the longer base is:

                           9 centimeters

Step-by-step explanation:

We know that the area of a trapezoid with height h and two parallel bases b and b' is given by the formula:

Here we have:

The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters.

i.e.  

Step-by-step explanation:

6 0
2 years ago
Below is a drawing of a wall that is to be covered with either wallpaper or paint. The wall is 8 ft. high and
Snowcat [4.5K]

84 sq. ft of the wall has to be covered with paint or wallpaper.

Step-by-step explanation:

  • Step 1: Find the area of wallpaper to be covered by calculating the area of the wall and subtracting the areas of the window, mirror and fireplace from it. All are rectangular in shape with are given by A = length × width

Area of the wall = 8 × 16 = 128 ft²

Area of the window = 18/12 × 14 = 1.5 × 14 = 21 ft² (since 1 ft = 12 in)

Area of the fireplace = 5 × 3 = 15 ft²

Area of the mirror = 4 × 2 = 8 ft²

  • Step 2: Calculate the area to be painted or covered with wallpaper

Area of the wall to be covered with paint or wallpaper = 128 - (21 + 15 + 8)

                              = 128 - 44

                              = 84 ft²

5 0
3 years ago
Read 2 more answers
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