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bogdanovich [222]
3 years ago
8

Expand the binomial using Pascal's triangle (3x+5)

Mathematics
1 answer:
forsale [732]3 years ago
4 0

Answer:

Step-by-step explanation:

0.           1

1.          1  1

2.         1  2  1

3.        1  3  3  1

4.       1  4  6  4  1

5.      1  5  10  10  5  1

6.     1  6  15  20  15  6  1

7.    1  7  21  35  35  21  7  1

8.   1  8  28  56  70  56  28  8  1

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posledela
The answer is B, 31.4m
4 0
3 years ago
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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​)
Neporo4naja [7]

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 ...

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6 0
3 years ago
A high school football pennant is in the shape of an isosceles triangle. The base is 18 inches long. The sides meet at an angle
Oksanka [162]

Answer:

The length of each side is 26.3 cm

Step-by-step explanation:

Opposite sides of an isoceles triangle are equal

The isoceles triangle is divided into 2 right-angled triangles so the length of one side can be calculated using trigonometric ratio

When the isoceles triangle is divided, the angle in the right-angled triangle is 20° (1/2 of 40°) and the base is 9cm (1/2 of 18 cm), the hypotenuse side is calculated using trigonometric ratio

Let the length of the hypotenuse side be y

9/y = sin 20°

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Length of each side is 26.3 cm

3 0
3 years ago
Need help ASAP!!!!!!!!
egoroff_w [7]

Answer:

24/35

Step-by-step explanation:

8 0
3 years ago
Solve for b:<br><br> b² = 8b + 84
levacccp [35]
B² = 8b + 84
b² - 8b - 84 = 0
b = <u>-(-8) +/- √((8)² - 4(1)(-84))</u> 
                       2(1)<u>
</u>b = <u>8 +/- √(64 + 336)</u>
                   2
b = <u>8 +/- √(400)
</u>               2<u>
</u>b = <u>8 +/- 20
</u>            2
b = 4 <u>+</u> 10
b = 4 + 10          b = 4 - 10
b = 14                b = -6
<u />
4 0
3 years ago
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