You want to try and get rid of one of the variables ( x or y) so you would multiply the second equation by 2 which would make the x variable -2x which then when added to the first equation would eliminate the x variable.
Answer: c. Multiply the second equation by 2.
(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ = 
= 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified
Answer: 2/3 * (× + 2 )
Step-by-step explanation:
((x²-4)/(3x)) ÷ ((x-2)/(2x)). ⇒ [ ( ײ - 4 ) * 2x ] ÷ [ ( × - 2 ) *3x ]
Simplifying by x [ 2 * ( ײ - 4 ) ] ÷ [ ( × - 2 ) *3 ] ⇒ (2/3)*{ [ ( x-2 )*(×+2)]÷ (×-2) }
Simplifying by ( ×+2) 2/3 * (× + 2 )
Answer:
m= 8/5
Step-by-step explanation:
Points on the graph: ( -4, -4) and (1, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4+4)/(1+4)
m= 8/5
Answer:
9
Step-by-step explanation:
f(x)=½(8-2x)
Let x = -5
f(-5)=½(8-2* (-5))
=½(8+10)
=½(18)
=9
