Answer:
x = 19.5, RQS=43
Step-by-step explanation:
It is important to note that RQS and TQS are supplementary, meaning their angles will add up to 180. Knowing this, we can create and solve the equation to find x..
(2x+4) + (6x+20) = 180
8x + 24 = 180
8x = 156
x = 19.5
Now that we know the value of x, we can substitute it into the equation for RQS, 2x+4.
2(19.5)+4
39+4
43
Hope this helped!
Answer:
See below
Step-by-step explanation:
I assume you mean 
The equation is already in vertex form 
where 
affects how "fat" or "skinny" the parabola is and 
is the vertex. Therefore, the vertex is 
.
The axis of symmetry is a line where the parabola is cut into two congruent halves. This is defined as 
for a parabola with a vertical axis. Hence, the axis of symmetry is 
.
The minimum value is the smallest value in the range of the function. In the case of a parabola, the y-coordinate of the vertex is the minimum value. Therefore, the minimum value is 
.
The interval where the function is decreasing is 
The interval where the function is increasing is 
Answer: Each time the pentagon is rotated , it maps back onto itself. There are five values of for which the pentagon maps back onto itself. This is the same as the number of sides of the pentagon.
Answer:
C is answer I think 0, because
To make this new triangle I am going to pretend that the original triangle was at the points (4,4) (-4,4) and (0,8). So if this was dilated down by 1/2 then the triangles points would be (2,2) (-2,2) and (0,4). Then if it is reflected over the x-axis the new points would be (2,-2) (-2,-2) and (0,-4) and if it was translated left by 2 units then the points would be (0,-2) (-4,-2) and (-2, -4), then if the triangle was translated up by 4 units the points and the new triangle would be (0,2) (-4,2) and (-2,0). And that would be what the new triangle would be.
The triangle went from (4,4) (-4,4) and (0,8) to (0,2) (-4,2) and (-2,0).
