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dusya [7]
3 years ago
8

Find the volume of the hemisphere with a diameter of 2

Mathematics
1 answer:
inessss [21]3 years ago
6 0
If the diameter is 2 and the radius is 1 then the volume is V = 2.0943951 m^3
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50 Points Please show graph
worty [1.4K]

Answer:

The solutions are x = -9 , x = -5

Step-by-step explanation:

* Lets find the vertex of the parabola

- In the quadratic equation y = ax² + bx + c, the vertex of the parabola

 is (h , k), where h = -b/2a and k = f(h)

∵ The equation is y = x² + 14x + 45

∴ a = 1 , b = 14 , c = 45

∵ h = -b/2a

∴ h = -14/2(1) = -14/2 = -7

∴ The x-coordinate of the vertex of the parabola is -7

- Lets find k

∵ k = f(h)

∵ h = -7

- Substitute x by -7 in the equation

∴ k = (-7)² + 14(-7) + 45 = 49 - 98 + 45 = -4

∴ The y-coordinate of the vertex point is -4

∴ The vertex of the parabola is (-7 , -4)

- Plot the point on the graph and then find two points before it and

 another two points after it

- Let x = -9 , -8 and -6 , -5

∵ x = -9

∴ y = (-9)² + 14(-9) + 45 = 81 - 126 + 45 = 0

- Plot the point (-9 , 0)

∵ x = -8

∴ y = (-8)² + 14(-8) + 45 = 64 - 112 + 45 = -3

- Plot the point (-8 , -3)

∵ x = -6

∴ y = (-6)² + 14(-6) + 45 = 36 - 84 + 45 = -3

- Plot the point (-6 , -3)

∵ x = -5

∴ y = (-5)² + 14(-5) + 45 = 25 - 70 + 45 = 0

- Plot the point (-5 , 0)

* To solve the equation x² + 14x + 45 = 0 means find the value of

  x when y = 0

- The solution of the equation x² + 14x + 45 = 0 are the x-coordinates

 of the intersection points of the parabola with the x-axis

∵ The parabola intersects the x-axis at points (-9 , 0) and (-5 , 0)

∴ The solutions of the equation are x = -9 and x = -5

* The solutions are x = -9 , x = -5

5 0
3 years ago
Solve.
rjkz [21]
123x - 23(-1 + x) = 14

Simplify.

123x + 23 - 23x = 14

Subtract 23 from both sides.

123x - 23x = 14 - 23

Simplify.

100x = - 9

Divide both sides by 100.

x = -9/100

~Hope I helped!~
6 0
3 years ago
Read 2 more answers
in a recent year a baseball team paid five times to their ace pitcher as they paid to their shortstop. if they paid $12 million
arsen [322]
They paid their pitcher $10 million and their shortstop $2 million
4 0
3 years ago
Factor. ​ 9x2−12xy+4y2 ​
Natasha2012 [34]

18x-12xy+8y

You can look up the answer in an equation calculator.

6 0
3 years ago
How many tiles will be in figure 100?<br><br> NEED THIS ONE asap,<br> Will give brainlest
svetoff [14.1K]
800
Correct if wrong
5 0
2 years ago
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