We have to find slopes one by one.
#1
- Line passes through this.
#2
#3
- Not possible (Line passes through y axis as one co-ordinate is (0,1))
#4
#5
- Line doesnot pass through this.
Answer:
(f·g)(x) = x³ -8x² +20x -16
Step-by-step explanation:
The distributive property is useful for this.
(f·g)(x) = f(x)·g(x) = (x² -6x +8)(x -2)
= x(x² -6x +8) -2(x² -6x +8)
= x³ -6x² +8x -2x² +12x -16
(f·g)(x) = x³ -8x² +20x -16
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<em>Additional comment</em>
I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.
Where is the figure to chose from ?
Answer:
4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.
Step-by-step explanation:
Let the three consecutive numbers be x, (x+1), (x+2)
Now, the squares of these three numbers are 
Sum = 77
∴by the problem ,
{Taking 3 common }
{By factorization}
Therfore,
<em>X can't be negetive </em>
∴ 
The squares of the three consecutive numbers are 16, 25, 36
The three consecutive numbers whose sum is 77 are 4, 5, 6
Answer:
y=5 and x=4
Step-by-step explanation:
So,the diagonals of a parallelogram bisect each other..
therefore,we have our two eqn
4x-2=3y-1------------(i)
3y-3=3x
or,y-1=x----------(ii)
Now,simply substitute value of x in eqn (i)
4(y-1)-2=3y-1
or,4y-4-2=3y-1
or,y=5
Again,substitute y=5 in eqn (ii)
5-1=x
therefore,
x=5
Hope it helps you!!!
