Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
• 1 + cot²x = csc²x
Consider the left side
x - 
x
Factorise as a difference of squares
= (csc²x - cot²x)(csc²x + cot²x)
= (1 + cot²x - cot²x)(csc²x + cot²x)
= csc²x + cot²x
= csc²x + csc²x - 1
= 2csc²x - 1 = right side ⇒ verified
For the first line we have a slope of (y2-y1)/(x2-x1)
(2--2)/(1--1)=4/2=2 so we have:
y=2x+b, now solve for b with either of the points, I'll use: (1,2)
2=2(1)+b
b=0 so the first line is:
y=2x
Now the second line:
(1-10)/(4--2)=-9/6=-3/2 so far then we have:
y=-3x/2+b, using point (4,1) we solve for b...
1=-3(4)/2+b
1=-6+b
b=7 so
y=-3x/2+7 or more neatly...
y=(-3x+14)/2
...
The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...
2x=(-3x+14)/2
4x=-3x+14
7x=14
x=2, and using y=2x we see that:
y=2(2)=4, so the solution occurs at the point:
(2,4)
Responder:
3 / 4x + 1/2 = x
Explicación paso a paso:
Dado que:
Capacidad total = x
Volumen inicial = cierta fracción * capacidad total
Volumen adicional agregado para llenar = 1/2
Por eso,
Inicial. Volumen + volumen adicional = volumen total
De las opciones:
Un volumen inicial de 3 / 4x
Volumen adicional de 1/2
Volumen total = x
Sumar todo hace que la ecuación:
3 / 4x + 1/2 = x
x - 3 / 4x = 1/2
Por lo tanto, la ecuación correcta de la opción es: 3 / 4x + 1/2 = x
15% of 24000 is 3600
24000-3600 = $20,400
