Answer:
84
Step-by-step explanation:
6 times 7 is 42
42 times 2 is 84
The reflection of a point over the x axis is given by the equation (x, y) ⇒ (x, -y).
If the point (-8,2) is reflected over the y-axis, the new point would be (8, 2)
<h3>What is a
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>reflection, translation, rotation and dilation.</em>
The reflection of a point over the x axis is given by the equation (x, y) ⇒ (x, -y).
If the point (-8,2) is reflected over the y-axis, the new point would be (8, 2)
Find out more on transformation at: brainly.com/question/4289712
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Answer:
∠Q = 75°
Step-by-step explanation:
Start by recognizing that the triangle is isosceles (the long sides are marked as being equal-length). That means angles Q and R have the same measure.
Next, you use the fact that the sum of angles is 180° to write an equation.
∠R +∠P +∠Q = 180°
(2x +15)° +x° +(2x +15)° = 180° . . . . substitute the known values
5x +30 = 180 . . . . . . . . . . . . . . . . divide by °, collect terms
5x = 150 . . . . . . . . subtract 30
x = 30 . . . . . . . divide by 5
Then angle Q is ...
∠Q = (2x +15)° = (2×30 +15)°
∠Q = 75°
The vector function is, r(t) = 
Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.
First surface is the paraboloid, 
Second equation is of the parabolic cylinder, 
Now to find the intersection of these surfaces, we change these equations into its parametrical representations.
Let x = t
Then, from the equation of parabolic cylinder, 
.
Now substituting x and y into the equation of the paraboloid, we get,
Now the vector function, r(t) = <x, y, z>
So r(t) =
Learn more about vector functions at brainly.com/question/28479805
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Answer:
ertyui
Step-by-step explanation:
