The figure created with the rotation is a cone with a height of 3 units, and a radius of 4 units.
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What type of figure will be created?</h3>
First, we have a triangle whose vertices are: (-3, 0), (0, 0) a (-3, -4).
This is a triangle whose base measures 4 units and its height measures 3 units (if we considerate the base along the y-axis).
Then, if we rotate it around the x-axis, we will get a cone.
<h3>What are the dimensions of the cone?</h3>
The height of the cone should be the same as the height of the original triangle, and the radius of the cone should be equal to the base of the original triangle.
So the dimensions of the cone are:
- height = 3 units.
- radius = 4 units.
If you want to learn more about cones, you can read:
brainly.com/question/6613758
Answer:
Temperature in noon = 1°C
Step-by-step explanation:
Given:
Temperature on 7:00 Am = -7°C
Temperature rose = 8°C
Find:
Temperature in noon
Computation:
Temperature in noon = Temperature on 7:00 Am + Temperature rose
Temperature in noon = -7°C + 8°C
Temperature in noon = 1°C
The rule of reflection over x-axis ⇒⇒⇒ (x,y)→(x,-y)
The rule of reflection over y-axis ⇒⇒⇒ (x,y)→(-x,y)
The rule of reflection over y = x ⇒⇒⇒ (x,y)→(y,x)
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let the coordinate of any point of the <span>hexagon is (m,n)
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<span>The correct sequence will make the same coordinates
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<span>which mean start with (m,n) and the finish is also (m,n)
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Check option a- x-axis, y=x, x-axis, y=x
(m,n) → (m,-n) → (-n,m) → (-n,-m) → (-m,-n)
Wrong set of reflections
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Check option b- y-axis, x-axis, y-axis
(m,n) → (-m,n) → (-m,-n) → (m,-n)
Wrong set of reflections
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Check option c- x-axis, y-axis, y-axis
(m,n) → (m,-n) → (-m,-n) → (m,-n)
Wrong set of reflections
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Check option d- y=x, x-axis, y=x, y-axis
(m,n) → (n,m) → (n,-m) → (-m,n) → (m,n)
The correct set of reflections
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So, the correct option is <span>⇒⇒ d- y=x, x-axis, y=x, y-axis
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Answer:
2x^2 + 8xy - 2y^2
Step-by-step explanation:
2X(X+y) + 2y(3X-y)
2x^2 + 2xy + 6yx - 2y^2
2x^2 + 8xy - 2y^2