Answer:
x=2 or x=−4
Step-by-step explanation:
Let's solve your equation step-by-step.
(x+6)(x−4)=−16
Step 1: Simplify both sides of the equation.
x2+2x−24=−16
Step 2: Subtract -16 from both sides.
x2+2x−24−(−16)=−16−(−16)
x2+2x−8=0
Step 3: Factor left side of equation.
(x−2)(x+4)=0
Step 4: Set factors equal to 0.
x−2=0 or x+4=0
x=2 or x=−4
Answer:
The first number is
72.6
Step-by-step explanation:
Let second number be x.
First number= 6x
Third number= 3x
According to question,
6x+x+3x=121
or, 10x=121
or,x=121/10=12.1
First number= 6x=6×12.1=72.6
Third number=3x=3×12.1=36.3
Answer:
Step-by-step explanation:
cylinder's height=3×(diameter of sphere)=3×6=18 cm
radius of cylinder=3 cm
volume of cylinder=π r²h=π(3)²×18=162 π cm³
volume of sphere=4/3 π(3)³=36 π cm³
reqd. empty space=162 π-3×36π=54 πcm³
Answer: sin
= ± 
Step-by-step explanation:
We very well know that,
cos2A=1−2sin²A
⟹ sinA = ±
As required, set A = & cos a= 
,thus we get
sin =± 
∴ sin =±
= ±
since ,360° < <450°
,180° < <225°
Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.
hope it helped!
Hm i think it might be 2:8?
