Answer:310
Step-by-step explanation:
so use pemdas
Parenthesis,exponents multiplication, division , addition, and subtraction order
231*5-16+101)/4
first i'm assuming the parenthesis is over the whole thing
that the question should look like (231*5-16+101)/4
first parenthesis, 231*5=1,155
1,155-16=1,139+101= 1,240
1240/4= 310.
Hope this helps!
Answer:
The slope is -1
Step-by-step explanation:
Answer:
Correct option is
B
0
D
−1
sinx+sin2x+sin3x
=sin(2x−x)+sin2x+sin(2x+x)
=2sin2xcosx+sin2x [ by using sin(A+B)=sinAcosB+sinBcosA and sin(A−B)=sinAcosB−sinBcosA ]
=sin2x(2cosx+1)........(i)
cosx+cos2x+cos3x
=cos(2x−x)+cos2x+cos(2x+x)
=2cos2xcosx+cos2x [By using cos(a−b)=cosa⋅cosb+sina⋅sinb and cos(a+b)=cosa⋅cosb−sina⋅sinb]
=cos2x(2cosx+1).....(ii)
∴(sinx+sin2x+sin3x)
2
+(cosx+cos2x+cos3x)
2
=1
sin
2
2x(2cosx+1)
2
+cos
2
2x(2cosx+1)
2
=1.......[From(i)(ii)]
⇒(2cosx+1)
2
=1
⇒2cosx+1=±1
∴cosx=0or−1
Answer:
![\displaystyle [0, 6]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B0%2C%206%5D)
Step-by-step explanation:
![\displaystyle 1 = -\frac{1}{2}[10] + b \\ \\ 1 = -5 + b; 6 = b \\ \\ [0, 6]](https://tex.z-dn.net/?f=%5Cdisplaystyle%201%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%5B10%5D%20%2B%20b%20%5C%5C%20%5C%5C%201%20%3D%20-5%20%2B%20b%3B%206%20%3D%20b%20%5C%5C%20%5C%5C%20%5B0%2C%206%5D)
I am joyous to assist you at any time.
Answer:
x = 22
Step-by-step explanation:
triangle = 180 degrees
2x + 12 + x + 54 + 3x - 18 = 180 degrees
combine like terms
6x + 12 + 54 - 18 = 180
6x + 48 = 180
<u> -48 -48</u>
6x = 132
divide by 6
x = 22
<em><u>Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!</u></em>
<em><u>-Lil G</u></em>
