Answer:
m = 1
Step-by-step explanation:
Slope is defined as m = rise / run.
As we move from (2,2) to (4,4), x increases by 2 and y increases by 2.
Thus, the slope of this line is m = rise / run = 2/2 = 1: m = 1
Combinations of 7 taken 4 at a time.
C (7,4) = 7! /[ 4!(3!)]
7 x 6 x 5 = 210
210 divided by 3 = 70
70 divided by 2 = 35
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:
Angle 1 = 85*
Angle 3 = 85*
Angle 4 = 95*
Angle 5 = 85*
Angle 6 = 95*
Angle 7 = 85*
Angle 8 = 95*
Step-by-step explanation:
Since angle 2 is 95*, angle 4 would be the exact same. Now you add 95+95=190 and subtract that from 360. 360-190=170. Then divide 170 by 2= 85 to get the measurements for 1 and 3.
