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lapo4ka [179]
3 years ago
13

What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm​ long, 11 cm​ wide, and 7 cm​ tall

?
Mathematics
1 answer:
telo118 [61]3 years ago
7 0

Answer:

19.8746

Step-by-step explana

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I need help with a CALC 1 question.
Morgarella [4.7K]
Yah

ok, so remember
x(dy/dx)=1
but
y(dy/dx)=dy/dx
solve for dy/dx as if it was a varaible
use chain rule and stuff


-33x¹⁰+2x²²y+y⁹=-30
take derivitive
-33(10)x⁹+2(22x²¹y+x²²dy/dx)+9y⁸dy/dx=0
distribute
-330x⁹+44x²¹y+2x²²dy/dx+9y⁸dy/dx=0
add 330x⁹ to both sides and minus 44x²¹y from both sides
2x²²dy/dx+9y⁸dy/dx=330x⁹-44x²¹y
undistribute dy/dx
dy/dx(2x²²+9y⁸)=330x⁹-44x²¹y
divide both sides by (2x²²+9y⁸)
\frac{dy}{dx}= \frac{330x^9-44x^{21}y}{2x^{22}+9y^8}
your calculation is incorrect, see it should be 2x^22, not x^22

anyway
taht is the slope at taht point
remember point slope
y-y1=m(x-x1)
we needs to find slope

at point (1,1)
x=1, y=1
\frac{dy}{dx}= \frac{330(1)^9-44(1)^{21}y}{2(1)^{22}+9(1)^8}
dy/dx=26

at point (1,1)
y-1=26(x-1)
y-1=26x-26
y=26x-25 is de equation
8 0
3 years ago
What is the standard form of 14 ten thousands + 12 thousands
poizon [28]
140000 + 12000 = 152000

hope this helps
8 0
4 years ago
The transformations to the parent function of a quadractic equation are given below. Write an equation of the new function in ve
sergiy2304 [10]

Answer:

  f(x) = x^2 -3

Step-by-step explanation:

A function is translated down 3 units by subtracting 3 from the function value. For the parent function f(x) = x^2, the translated function is ...

  f(x) = x^2 -3

_____

<em>Comment on vertex form</em>

The full "vertex form" has the values of the vertex coordinates in the equation explicitly. For vertex (h, k), the form is ...

  f(x) = a(x -h)^2 +k

We have moved the vertex from (0, 0) to (0, -3). The vertical scale factor (a) remains 1. So, we could write the equation as ...

  f(x) = 1(x -0)^2 -3 . . . . vertex form with unnecessary parts shown

Removing the identity elements doesn't change anything (though it requires a little practice to see them when they aren't there). So, with minor simplification, this becomes ...

  f(x) = x^2 -3

5 0
3 years ago
Can anyone please help me on this Math problem? I am desperate!
salantis [7]
Not sure on the graph, but I have an equation in Standard Form for you. Hope this helps! Message me with any questions!

8 0
4 years ago
Please help, I’ve been stuck on this question for about a hour now.
Hoochie [10]
6x + 5x + (x + 16) + (3x - 1) = 360
11x + x + 16 + 3x - 1
15x + 15 = 360
15x = 345
x = 23


6(23) = 138
((23) + 16) = 39
(3(23) - 1) =68
5(23) = 115

138 + 39 + 68 + 115 = 360
7 0
3 years ago
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