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maxonik [38]
3 years ago
9

Simplify 6x•1/x^-5•x^-2

Mathematics
1 answer:
sukhopar [10]3 years ago
5 0

Answer:

6x^4

Step-by-step explanation:

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Find the acute angles between the curves at their points of intersection. (the angle between two curves is the angle between the
amm1812
At point of intersection the two equations are equal,
hence, 6x³ =6x²
           6x³-6x²=0
           6x²(x-1)=0 , the values of x are 0 and 1
The points of intersection are therefore, (0,0) and (1,6)
To find the slopes of the tangents at the points of intersection we find dy/dx
for curve 1, dy/dx=12x, and the other curve dy/dx=18x²
At x=0, dy/dx=12x =0, dy/dx=18x² = 0, hence the angle between the tangents is 0, because the tangents to the two curves have the same slope which is 0 and pass the same point (0,0) origin.
At x=1, dy/dx =12x = 12, dy/dx= 18x² =18, Hence the angle between the two tangents will be given by arctan 18 -arctan 12 
                                      = 86.8202 - 85.2364 ≈ 1.5838, because the slope of the lines is equal to tan α where α is the angle of inclination of the line.


5 0
3 years ago
Write a system of equations to represent the scenario.
Nookie1986 [14]

Answer:

Step-by-step explanation:I need the same answer lol

4 0
3 years ago
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We have 10 gallons of gas in the car. We use 1 5/8 gallons each hour. How many hours of gas do we have?
Sindrei [870]
You have a little over 6 hours of gas.
8 0
3 years ago
What is the perimeter of the triangle?
Dennis_Churaev [7]
Answer:

The perimeter will be 30

Step-by-step explanation:

Perimeter = all side lengths added

Step 1. Determine the length of the triangle

Answer: 5

Step 2. Determine the width of the triangle

Answer: 12

Step 3. Determine the diagonal line across the triangle

Answer + explanation:

For it to figure it out, we must use this method called Pythagorean Theorem

Pythagorean Theorem: a^2 + b^2 = c^2

Where a = 12 b = 5 and c = the diagonal line

12^2 + 5^2 = c^2

144 + 25 = c^2

c^2 = 169

c = 13

The diagonal line measures 13 units

Step 4. Add all of the dimensions we just reviewed

Answer:

Length = 5

Width = 12

Diagonal line = 13

5 + 12 + 13 = perimeter

perimeter = 30

Therefore, the perimeter is 30


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3 years ago
Help I need an answer as soon as possible
SSSSS [86.1K]

Answer:

charlie is the one,im pretty sure

3 0
3 years ago
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