Answer:
You solve this problem
Step-by-step explanation:
Fire and sun light
Since you need the vertex, and knowing the vertex will tell you the axis of symmetry, it is convenient to put the equation in vertex form.
.. -x^2 -4x +1
.. = -(x^2 +4x) +1
.. = -(x^2 +4x +(4/2)^2) +1 -(-(4/2)^2) . . . . complete the square
.. = -(x +2)^2 +5
The vertex is (-2, 5).
The axis of symmetry is x = -2.
Ok so there are 7 different options for each of the remaining 7 people to be sat in which means that the answer can be given by 7!=7*6*5*4*3*2*1=5040 different ways
The value of 29 - |7 - 11| = 25
We have the following expression -
29 - |7 - 11|
We have to find its value.
<h3>Find the value of the expression -</h3><h3>X + |
Y | where Y < 0</h3>
We have -
X + | Y |
Since Y < 0 - therefore Y < 0
Now -
|a| = - a { for a < 0}
Therefore -
X - Y
According to the question, we have -
29 - |7 - 11|
29 - | -4 |
29 - 4
25
Hence, the value of 29 - |7 - 11| = 25
To learn more about Modulus function, visit the link below-
brainly.com/question/13103168
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<span>N(t) = 16t ; Distance north of spot at time t for the liner.
W(t) = 14(t-1); Distance west of spot at time t for the tanker.
d(t) = sqrt(N(t)^2 + W(t)^2) ; Distance between both ships at time t.
Let's create a function to express the distance north of the spot that the luxury liner is at time t. We will use the value t as representing "the number of hours since 2 p.m." Since the liner was there at exactly 2 p.m. and is traveling 16 kph, the function is
N(t) = 16t
Now let's create the same function for how far west the tanker is from the spot. Since the tanker was there at 3 p.m. (t = 1 by the definition above), the function is slightly more complicated, and is
W(t) = 14(t-1)
The distance between the 2 ships is easy. Just use the pythagorean theorem. So
d(t) = sqrt(N(t)^2 + W(t)^2)
If you want the function for d() to be expanded, just substitute the other functions, so
d(t) = sqrt((16t)^2 + (14(t-1))^2)
d(t) = sqrt(256t^2 + (14t-14)^2)
d(t) = sqrt(256t^2 + (196t^2 - 392t + 196) )
d(t) = sqrt(452t^2 - 392t + 196)</span>