Answer:
P(x) = 
- 7x² + 12
Step-by-step explanation:
Given zeros x = 2, x = - 2, x = 
, x = -
Then the factors are (x - 2), (x + 2), (x - ), (x + )
and the polynomial is the product of the factors, that is
P(x) = (x - 2)(x + 2)(x - )(x + ) ← expand in pairs using FOIL
= (x² - 4)(x² - 3) ← distribute
= - 3x² - 4x² + 12 ← collect like terms
= - 7x² + 12
Answer:
1/18
3/2
Step-by-step explanation:
18 = 18/1 if the reciprocal means to flip the denominator and the numerator then just witched them so it would be 1/18
2/3 would be 3/2
Answer:
36x²
Step-by-step explanation:
i just did it on edge 2020
[6, -infinity)
have a good night
Answer:
Step-by-step explanation:
If it is a parallelogram the opposite sides will a have the same slope.
Using the diagram we see from the coordinates of A and B:
Slope of AB = (5 - -1)/(-1 - -5)
= 6/4
= 3/2.
In the same way
slope of CD = (2 - -4) / (1 - -3)
= 3/2.
So AB and CD can be shown to be parallel.
Similarly the lines BC and AD are parallel.
So the figure is a parallelogram
Finding the perimeter (counting the units between the points):
Perimeter = 2AB + 2BC
By Pythagoras:
AB = sqrt (6^2 + 4^2) = sqrt 52
BC = sqrt (3^2 + 2^2) = sqrt 13
So Perimeter = 2sqrt52 + 2sqrt13
= 4sqrt13 + 2 sqrt13
= 6sqrt13
or 21.63 unit^2 to 2 decimal places.
Area = sqrt52 * perpendicular distance between the lines AB and CD.
