Answer:
a = 5
Step-by-step explanation:
According to the factor theorem, if x + 2 is a factor, then by dividing the polynomial by the binomial, we are meant not to have a remainder
In this case, the remainder would be zero
So, if we set the binomial equals zero and substitute the x-value into the polynomial, we are supposed to have 0
So we have this as;
x + 2 = 0
x = -2
-2^3 -2(-2)^2 -2(a) + 6 = 0
-8-8-2a + 6 = 0
-16 + 2a + 6 = 0
2a -10 = 0
2a = 10
a = 10/2
a = 5
Answer:
8.4 in
Step-by-step explanation:
Solution:-
- We consider the large right angle triangle namely, " XVW "
- We will recall all the trigonometric ratios that are applicable to all right angled triangles.
- While we are dealing with trigonometric ratios we have the following terms that needs to be correlated with the given specific problem:
Hypotenuse ( H ): Side opposite to 90 degrees angle
Base (B): The side adjacent to the available angle ( θ )
Perpendicular (P): The side opposite to the available angle ( θ )
- We will go ahead and mark our respective sides as follows:
Angle ( θ ) : 34°
Hypotenuse ( H ) : XW = 15 in
Base ( B ) : VW
Perpendicular ( P ) : VX
- Now recall all the trigonometric ratios studied:
sin ( θ ) = P / H = VX / XW
cos ( θ ) = B / H = VW / XW
tan ( θ ) = P / B = VX / VW
- Now choose the appropriate trigonometric ratio with two values given and one ( VX ) that needs to be determined as follows:
sin ( θ ) = P / H = VX / XW
sin ( 34° ) = VX / 15
VX = 15*sin ( 34° )
VX = 8.387 .. ( 8.4 ) in
Remove the radical by raising each side to the index of the radical.
x = 5/2
a. 4 – commutative property
b. 5 – commutative property
c. 0 – identity property
d. 4 – associative property
_____
The commutative property lets you swap the order: (a) + (b) = (b) + (a).
The associative property lets you change the grouping: (a+b)+c = a+(b+c).
The identity property lets you add 0 without changing anything: (a) +0 = (a).
Answer:
A
Step-by-step explanation:
d = 0.5 * t There are no conversions. You just substitute the value for t.
d = 0.5 * 27.9
d = 13.95 which is A
