Answer:
Step-by-step explanation:
Given figure is of a rhombus.
Measures of the opposite angles of a rhombus are equal.
Therefore,

14 and 15 are not functions while 13 and 16 are functions
!z!=a→z=a or z=-a; z=4x+3, a=9+2x
!4x+3!=9+2x
1) 4x+3=9+2x
Solving for x:
4x+3-3-2x=9+2x-3-2x
2x=6
2x/2=6/2
x=3
Checking for extraneous solution:
!4x+3!=9+2x
x=3→!4(3)+3!=9+2(3)
!12+3!=9+6
!15!=15
15=15 Ok, then x=3 is not a extraneous solution
2) 4x+3=-(9+2x)
Solving for x:
4x+3=-9-2x
4x+3-3+2x=-9-2x-3+2x
6x=-12
6x/6=-12/6
x=-2
Checking for extraneous solution:
!4x+3!=9+2x
x=-2→!4(-2)+3!=9+2(-2)
!-8+3!=9-4
!-5!=5
5=5 Ok, then x=-2 is not a extraneous solution
Answer:
x = -2 or 3
3) 180-32= 148°
4) x = 142°
5) 3x+2x = 90°
5x =90°
x= 90/5
x = 18°
6) 180 = 6x + x
180 +2 = 7x
182/7 =x
26° = x
Answer:
Left ends is +ve infinity and Right end is -ve infinity. however both tends to be infinity.
Step-by-step explanation:
Let us under stand the basics of determining the end behavior of a graph , by just analyzing the degrees and coefficient of a polynomial.Please refer to the image we have shared with this for a better understanding also.
The rule is bifurcated in two broad category and and two sub category in them.
Category .
The nature of degree (Even / Odd )
Subcategory .
The coefficient of term containing degree ( Negative/Positive )
Rule 1 :
Degree : Even
If coefficient is
Rule 1(a) : Positive ⇒Both ends are towards +ve infinity
Rule 1(b) : Negative⇒Both ends are towards -ve infinity
Rule 2 :
Degree : Odd
If coefficient is
Rule 2(a) : Positive ⇒ Left ends is -ve infinity and Right end is +ve infinity
Rule 2(b) : Negative ⇒ Left ends is +ve infinity and Right end is -ve infinity
Let us see our function f(x) =
now
Here
Degree is 3 which is Odd
Its coefficient is (-2) which is negative
Hence we go to rule 2(b)
That is the Left ends is +ve infinity and Right end is -ve infinity. however both tends to be infinity.