Given:
x² + 11x + 121 = x + 96
First, we need to convert it into a quadratic equation.
x² + 11x - x + 121 - 96 = 0
x² + 10x + 25 = 0
a = 1 ; b = 10 ; c = 25
Quadratic formula:
x = (-b <u>+</u> (√b² - 4ac)) ÷ 2a
The discriminant is under the radical sign
discriminant ⇒ b² - 4ac ⇒ 10² - 4(1)(25) ⇒ 100 - 100 = 0
Correct answer is A. 0
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:
The answer would be B)
Step-by-step explanation:
Step-by-step explanation:
5x+52=9x+20
subtract 5x on both sides
subtract 20 on both sides
32=4x
divide by 4 on both sides
x=8
plug in x to the equations for A, D, and C
A and D are 92°
C is 56°
B and C will add up to 90, so
90-56=34°
13y-6=34
add 6 on both sides
13y=40
divide by 13
y=40/13 (I don't wanna calculate that)