Answer:
-21
Step-by-step explanation:
-6x + 2y = -18.........(i)
-3x - 2y = 54...........(ii)
add equ.(ii) to equ. (i)
(-6x + [-3x]) + (2y + [-2y]) = -18 + 54
-9x = 36
x = -4
sub x= -4 into equ (i)
-6(-4) +2y = -18
24 + 2y = -18
24 +18 = -2y
42 = -2y
y = -21
4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0
where y' = dy/dx
8x + 5xy' +5y -2yy' = 0
combining y' terms
y' (5x-2y) +8x +5y = 0
y'(5x-2y) = -(8x+5y)
dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
Answer:
Option (D)
Step-by-step explanation:
The given graph represents a rational function having,
1). Vertical asymptote → x = 2
2). Horizontal asymptote → y = 0
Parent function representing the rational function will be in the form of,
F(x) = 
Since, vertical asymptote of the function is x = 2, denominator of the function will be in the form of (x - 2)².
Since, horizontal asymptote of the function is y = 0, highest exponent term in the numerator will be 0.
Therefore, numerator of the fraction will be x⁰.
The rational function given in the graph will be,
F(x) = 
F(x) = 
Option (D) will be the answer.
I would need see what your choices are to give exact answers, but I think the main idea here is to see that angles 1 and 3 are the same, and since the alternate interior angle theorem states parallel lines through a line, or another set of parallel lines, form equal angles on those positions, the lines that form those angles, p and q, must be parallel.
1 meter = 3.2808399 feet
<span>810m * 3.2808399 ft/m </span>
<span>2657.48 feet </span>
<span>2657.48/5.4 </span>
<span>492.12592593 </span>
<span>Scale </span>
<span>1:492 </span>
