Answer:
A=2πrh+2πr2
Step-by-step explanation:
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) =
+
+
+
- ![\frac{b^{2} }{4a^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7Bb%5E%7B2%7D%20%7D%7B4a%5E%7B2%7D%20%7D)
⇒ f(x) =
+
+
+
- ![(\frac{b}{2a} )^{2}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bb%7D%7B2a%7D%20%29%5E%7B2%7D)
⇒f(x) =
+
+ ![\frac{c}{a}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7Ba%7D)
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.
(3,y),
4x-2y=24
4(3)-2y=24(substitute x with 3)
12-2y=24
-2y=24-12(subtract both sides by 12)
-2y=12
y=-12/2 (divide both sides by -2)
y=-6
Answer
(3,-6)
x+y = 90
x=2y+9
2y+9+y=90
3y=81
y= 27 Emily's age
x= 2*27+9 = 63 Matt's age