Answer:
(-2, -4)
Step-by-step explanation:
You can complete the square of the equation to get
y+(4/2)^2 = x^2+4x+(4/2)^2
y+4 = x^2 + 4x + 4
y+4 = (x+2)^2
y = (x+2)^2 - 4
This gives the form y = a(x-h)^2 + k where (h, k) is the vertex of the equation. You can also arrive at the same conclusion by making some observations of the equation. (x+2)^2 minimum value is going to be 0 since and negative values resulting from x+2 is going to become positive because of the square. So the minimum value is when x+2 is 0 or when x is equal to -2 and when it's at that minimum value of 0 it's going to have 4 subtracted from it which gives the vertex of (-2, -4)
Answer:
x = 58 degrees
Step-by-step explanation:
Angle K (which is x) and Angle I are congruent corresponding angles with one another, so if, as an example, Angle I was 10, Angle K would also be 10.
<u><em>All you need to do in this case is add Angle H (56) and Angle A (66) together:</em></u>
56 + 66 = 122
<u><em>Then subtract 122 from 180 (because triangles add up to 180 degrees) to get x:</em></u>
180 - 122 = 58
So, x = 58 degrees.
Answer:
4x + 28.4 in.
Step-by-step explanation:
perimeter = sum of lengths of sides
perimeter = x + 2 + x + 2 + x + 2 + x + 2 + 10.2 + 10.2
perimeter = 4x + 28.4
