Unit 5 part 2. K12. Who killed were and how.
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
The quadratic expression in the standard form is given by :
f(x) = + bx + c
(b) To complete the square:
Divide the equation through by a , the equation then becomes
f(x)= +
+
At this point, you are require to
(i) multiply the coefficient of x by 1/2
(ii) square the result
(iii) add the result to both sides , we have
f(x) = +
+
+
+
by completing the square , we have
f(x) = +
-
. We did this in order to make the expression balance
(c) Using the order of operation to turn the expression back into standard form
i. Expand the function in the bracket , we have
f(x) = +
+
+
-
⇒ f(x) = +
+
+
-
⇒f(x) = +
+
multiply through by the L.C.M , which is a , then we have
f(x) = - bx + c .
Since the aim of completing the square is to make the expression a perfect square , then it will always result in a perfect square trinomial.
Answer:
4.4 ft/s
Step-by-step explanation:
Height = 15ft
Rate= 5 ft/s
Distance from the man to the kite= 32ft
dh/dt = 5 ft/s
h = √32^2 - 15^2
h = √ 1025 - 225
h = √800
h = 28.28ft
D = √15^2 + h^2
dD/dt = 1/2(15^2 + h^2)^-1/2 (2h) dh/dt
= h(225 + h^2)^-1/2 dh/dt
= (h / √225 + h^2)5
= (28.28 / √225 + 28.28^2)5
= (28.28 / √1024.7584)5
= (28.28/32)5
= 0.88*5
= 4.4 ft/s
