8k - 9(4k + 4) = 8k - 36k - 36 = <u>-28k </u><u>-</u><u> </u><u>3</u><u>6</u>
Answer:
Step-by-step explanation:
9.)
z + 3 > 2/3
z > -7/3
You want an unshaded dot on the point -7/3 going towards the right.
10.)
1/2 ≤ c - 3/4
5/4 ≤ c
You want a shaded dot on the point 5/4 going towards the left.
Answer:
congruent angle pair
Step-by-step explanation:
angles 2 and 3 are congruent(equal 90 degrees), and angles 3 and 6 are opposite each other, indicating that they are of equal measure. therefore, angles 2 and 6 and congruent.
Answer:
Step-by-step explanation:
2 cos x + √ 2 = 0
2 cos x = -√ 2
cos x = -√ 2 / 2
x = arcCos( -√ 2 / 2 )
so to solve we have to use "co-terminal " angles .. do you know what I'm saying? do you understand the words coming out of my mouth :DDDDD OKay back to math and not movie lines .. :P
x = arcCos( √ 2 / 2 )
x = 45 °
now find the "co terminal" angle that is on 45 ° but in the correct quadrant... since the -√ 2 is negative.. we now that we go down the y axis.. but also positive on the x axis.. soooo.. that put the angle in the 4th quadrant... so this is an angle of 315° if we go in the CCW ( counter clock wise ) direction but it's also -45° in the CW (clock wise ) direction
below is the table to remember the trig special angles
notice how it's 1,2,3,4 .. so it's super easy to remember.. the trig books don't show you this "trick" :P
copy and paste this to your computer some where handy
Sin(0) = 0/2 =0
Sin(30)=
/2 = 1/2
Sing(45) =
/2 =
/2
Sin(60)=
/2 =
/2
Sin(90)=
/2 = 1
Cos is exactly the same but counts backwards from 90°
Cos(90) = 0/2 = 0
Cos(60) =
/2 = 1/2
Cos(45) =
/2 =
/2
Cos(30) =
/2 =
/2
Cos(0) =
/2 = 1
Answer:
x = 3
Step-by-step explanation:
6x + 7 = 9x - 2
-3x = -9
x = 3