A triangle is a three-edged polygon with three vertices. If the triangle is rotated 180° about the cross then it will be done as shown below.
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to b
If the triangle is rotated 180° about the cross then it will be done as shown below. This is because the triangle is 2 units away from the cross(dot) therefore, after rotation it will be at the same distance from the point.
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Answer:
The coordinates of the vertex is (6,4).
Step-by-step explanation:
The vertex is the highest or lowest point on the parabola (curved line).
ANSWER
(-2, 3)
EXPLANATION
Rachel starts at (-4, -5) and walks all the way to (-3, -1) in one hour.
We want to find her position if she continues at the same rate for another hour.
What we can do to find this position is to first find the slope of the line that connects her starting point and current point in fraction form.
That is:
We are going to leave it as a fraction purposely.
The numerator is the change in y while the denominator is the change in x.
This means that the change in one hour occurs by adding 4 to the y cordinate and adding 1 to the x cordinate.
Therefore, after another hour, her new cordinate will be:
(-3 + 1, -1 + 4)
=> (-2, 3)
That is the position that she will stop.
Answer:
Step-by-step explanation:
The directional derivative of a function in a particular direction u is given as the dot product of the unit vector in the direction of u and the gradient of the function
g(x,y) = sin(π(x−5y)
∇g = [(∂/∂x)î + (∂/∂y)j + (∂/∂z)ķ] [sin(π(x−5y))
(∂/∂x) g = (∂/∂x) sin (πx−5πy) = π [cos(π(x−5y))]
(∂/∂y) g = (∂/∂y) sin (πx−5πy) = - 5π [cos (π(x−5y))]
∇g = π [cos(π(x−5y))] î - 5π [cos (π(x−5y))] j
∇g = π [cos (π(x−5y))] [î - 5j]
So, the question requires a direction vector and a point to fully evaluate this directional derivative now.
Answer:
1. rhombus
2. trapezoid
3. rectangle
Step-by-step explanation: