ANSWER
EXPLANATION
We want to find the constant that must be added to
to form a perfect square.
Comparing the given expression to
we have
a=1 , b=-3 , and c=0.
We need to add
We substitute the values to get,
We change this to mix numbers to get,
The last choice is correct.
You break up the 207 into smaller numbers you can work with. 9 can go into 20 a maximum of 2 times, so you subtract 2*9 or 18 from 20. Then, you bring down the 7. 9 goes into 27 exactly 3 times, so you have 9*23=207.
Answer:
a. 4
Step-by-step explanation:
We want to find;
If 
.
Also;
This implies that;
Simplify;
Factor to get;
Cancel the common factors.
Substitute h=0 to get
Y+2x=24
product is max
xy=max
we have
y+2x=24
minus 2x both sides
y=24-2x
sub that for y in xy=max
(24-2x)(x)=max
-2x^2+24x=max
we have a parabola opening down
the coordinates of the vertex is our answer
the x value of the vertex is -b/2a where
ax^2+bx+c=y
-24/2(-2)=-24/-4=6
xvalue=6
we can just sub
y=24-2x
y=24-2(6)
y=24-12
y=12
the numbers are 6 and 12
the product is 72
the numbers are 6 and 12
Answer:Length if tank=12m
Step-by-step explanation:
Dimension of tank is 12m by 8m by 5m
Which is length × breadth × heigh
