Answer:
a = -11, 17.
Step-by-step explanation:
-7 = |a-3| / -2
Multiply both sides by -2:
|a - 3| = 14
So a - 3 = 14
Giving a = 17
or
a - 3 =- -14
giving a = -11.
Checking these values:
-7 = |17-3| / -2 = 14/-2 = -7
- so a = 17 is a solution.
-7 = |-11-3| / -2 = 14/-2 = -7
so a = -11 is also a solution.
20*282= 5640
10680-5640=5040
50-20=30
5040 dividend by 30= 168
Answer: 168
Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.
Answer:
8
Step-by-step explanation:
area of a triangle= b x h x 1/2 or b x h /2
the base is 4 and the height is 4
4x4/2
=16/2
=8
