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prohojiy [21]
2 years ago
12

Use cylindrical or spherical coordinates, whichever seems more appropriate. Find the volume of the smaller wedge cut from a sphe

re of radius 3 by two planes that intersect along a diameter at an angle of π/6.

Mathematics
1 answer:
Stells [14]2 years ago
3 0

Answer:

let radius is a

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raketka [301]
372 / 2 = 186 <=======
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3 years ago
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Solve the System by Graphing:
Marat540 [252]

Answer:

  • B) One solution
  • The solution is  (2, -2)
  • The graph is below.

=========================================================

Explanation:

I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.

Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.

--------

To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,

y = (-3/2)x+1

y = (-3/2)*0+1

y = 1

The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.

7 0
2 years ago
The function f(x) = -6x. The graph of g(x) is f(x)vertically stretched by a factor of 7 and reflected in the x-axis. What is the
Vera_Pavlovna [14]

we are given a function

f(x)=-6x

First translation:

The graph of function  is  vertically stretched by a factor of 7

Whenever we vertically stretch any function  by 'a' units

so, we can write it as

g(x)=a\times f(x)

Here, it is vertically stretch by 7

so, we get

g(x)=7\times -6x

g(x)=-42x

Second translation:

Whenever we reflect  any function  about x-axis

we multiply y-value by -1

so, we can write it as

g(x)=-f(x)

Here , it is reflected in the x-axis

so, we can multiply by -1 to y-value

we get

g(x)=-1\times -42x

g(x)=42x.............Answer


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3 years ago
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16 Pints

if that's what your asking

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Find the slope of the line that goes through the given points.<br> (0,8) and (- 4,0)
Ronch [10]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

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m = \frac{0-8}{-4-0} = \frac{-8}{-4} = 2

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