K= -3
3y = x+6 can be rewritten as y = 1/3x + 2
a perpendicular slope is the opposite reciprocal of the original slope
so instead of 1/3 it would be -3
therefore. k must equal -3 to be perpendicular to 3y = x+6
Answer:
Sum of interior angles of polygon = (n-2)*180
1) Pentagon:
2)Hexagon:
3) Heptagon:
4) Octagon:
Your answer is: Yes, because the sum of the two angles is 180° (the second option).
I hope this helps!
<u>Part A</u>
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<u>Part B</u>
The vertex of the graph will be a maximum because the leading coefficient is negative.
The x coordinate of the vertex is
.
When x=15/8,
.
So, the vertex has coordinates 
<u>Part C</u>
Plot the two x-intercepts and the vertex and then draw a curve in the shape of a parabola passing through them.
The graph is in the attached image.
Answer:
The distance you are from the base of plateau = 
Step-by-step explanation:
Given:
Height of plateau = 70 m
Angle of elevation to the top of plateau = 35°
To find the distance you are from the base of plateau.
We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.
We will apply trigonometric ratio to find the adjacent side.

where
represents the angle of reference.
Plugging in the values from the triangle.


Multiplying both sides by AC.


Dividing both sides by 

∴ 
The distance you are from the base of plateau = 