Answer:
-3/2,collinear.
Step-by-step explanation:
slope of PQ=(0-3)/(2-0)=-3/2
eq. of line PQ is
y-3=-3/2(x-0)
y-3=-3/2 x
or2y-6=-3x
or 3x+2y=6
if R(4,-3) lies on it,then
3(4)+2(-3)=6
12-6=6
or 6=6
which is true.
Hence points P,Q,R are collinear.
and line has aslope=-3/2
Answer:
8
Step-by-step explanation:
The equation for the area of a parallelogram is A=bh. In this case, the base is 4 and the height is two so the equation would be 4*2 which would be eight.
Answer: Division of Polynomials is just like the long division that most of us despise but this division is with Variables
Step-by-step explanation:
Example
With whatever equation you have you will
- First: set up the division putting the dividend inside the divisor outside and to the left
- Second: Ignore everything past the leading terms and just focus on the leading _ of the divisor and the leading _ of the dividend (just like in regular long division.
- Thirdly: Take whatever is on top and multiply is by the divisor {What is on the side} carry the result underneath put it exactly below the number from the dividend
- Fourth: Multiply the number that is on top by the number that is on the side, carry what is on the side underneath putting it below the other dividend.
- Fifth: Do the subtraction
- Sixth To subtract change all the signs in the second line, then add down.
- Next: Carry down that last term from the dividend
- From there you multiply and then add down again and you should be left with the answer....
If this was to many words let me know and I will upload a picture and explain with a real equation.
Question 1)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
F(G(x)) = 3(2x - 3)^2 + 1
F(G(x)) =3(4x^2 - 12x + 9) + 1
F(G(x)) = 12x^2 - 36x + 27 + 1
F(G(x)) =12x^2 - 36x + 28
Question 2)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
H -1 (x) = x (inverse)
Answer:
16
Step-by-step explanation:
3 times 6 is 18 and 12 divided by 6 is 2
18 - 2 =16
use the acronym PEMDAS