Answer: x^2 + 9x + 20
Step-by-step explanation:
Foil Method: (a + b) (c + d) = ac + ad + bc + bd
Lets say:
a = x
b = 5
c = x
d = 4
Plugging in the numbers: xx + 4x + 5x + 5*4
Combine like terms:
xx = x^2
4x + 5x = 9x
5 * 4 = 20
You're then left with: x^2 + 9x + 20
Answer:
That is enough information to determine that the shape is a parallelogram.
Step-by-step explanation:
Answer:
d. ∠2 and ∠6
Step-by-step explanation:
Definition : Alternate Exterior Angles are a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.
Option a. ∠3 and∠4
These angles are interior angles.
Option b . ∠1 and∠2
These angles are linear pair.
Option c . ∠1 and ∠6
These angles are outer angles
Option d . ∠2 and ∠6
According to the definition of alternate evterior angles . ∠2 and ∠6 are alternate exterior angles
Hence Option d is pair of alternate exterior angles.
I'll go out on a limb and suppose you're given the matrix

and you're asked to find the determinant of

, where

and given that

.
There are two properties of the determinant that come into play here:
(1) Whenever a single row/column is scaled by a constant

, then the determinant of the matrix is scaled by that same constant;
(2) Adding/subtracting rows does not change the value of the determinant.
Taken together, we have that