The surface area of a rectangular prism is increased by a factor of 16.

Mathematics

2 answers:

erik [133]2 years ago

7 0

The answer is 4 I think

d1i1m1o1n [39]2 years ago

3 0

Answer:

Step-by-step explanation:

The object is rectangular so it has 4 sides... 16/4=4

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Find an equation of the parabola y = ax2 + bx + c that passes through (0, 1) and is tangent to the line y = 4x − 4 at (1, 0).

larisa86 [58]

We are given the following:
- parabola passes to both (1,0) and (0,1)
 - slope at x = 1 is 4 from the equation of the tangent line 

First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. When x = 0, y = 1. So, c should be equal to 1. The parabola is y = ax^2 + bx + 1 

Now, we can substitute the point (1,0) into the equation,
0 = a(1)^2 + b(1) + 1
0 = a + b + 1
a + b = -1 

The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.
We take the derivative of the equation ,
y = ax^2 + bx + 1
y' = 2ax + b

x = 1, y' = 2
4 = 2a(1) + b
4 = 2a + b 

So, we have two equations and two unknowns, 
2a + b = 4 
a + b = -1

Solving simultaneously,
a = 5 
b = -6

Therefore, the eqution of the parabola is y = 5x^2 - 6x + 1 .

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3 years ago

There is enough grass to feed 5 cows for 8 days.

tigry1 [53]

Answer:

Step-by-step explanation:

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3 years ago

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Anni [7]

Step-by-step explanation:

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