Answer:Blue
Step-by-step explanation:
1.
the x value of the vertex in form
ax^2+bx+c=y
is
-b/2a
so
-2x^2+8x-18
x value of vertex is
-8/(2*-2)=-8/-4=2
plug it in to get y value
-2(2)^2+8(2)-18
-2(4)+16-18
-8-2
-10
vertex is at (2,-10)
or you could complete the square to get into y=a(x-h)^2+k, where the vertex is (h,k)
so as follows
y=(-2x^2+8x)-18
y=-2(x^2-4x)-18
y=-2(x^2-4x+4-4)-18
y=-2((x-2)^2-4)-18
y=-2(x-2)^2+8-18
y=-2(x-2)^2-10
vertex is (2,-10)
5.
vertex is the time where the speed is the highest
at about t=10, the speed is at its max
Answer:
3.4
Step-by-step explanation:
I think that you mean "How do you estimate the square root of 12."
1. √12 is between √9 and √16, which are 3 and 4
2. We know that the square root of 12 is between 3 and 4, and we can estimate to the tenth, getting 3.4
Answer:
<h3>-9</h3>
Step-by-step explanation:
Given the following angles;
m ∠ GHI = 173°
m ∠ GHQ = 29 + x
m ∠ QHI = x + 162
The following expression is true for the three angles;
m ∠ GHI = m ∠ GHQ+ m ∠ QHI
substitute the given values into the formula and calculate x
173 = 29+x+x+162
173 = 29+162+2x
173 = 191+2x
2x = 173 - 191
2x = -18
x = -18/2
x = -9
Hence the value of x is -9
