Answer:
k = - 2
Step-by-step explanation:
Lines g(x) and f(x) passes through the points (2, 0), (0, 2) & (4, 0), (0, 4)
Since both the lines are parallel, so slopes of lines g(x) and f(x) would be same.
Therefore,
Slope of line g = Slope of line f = (2-0)/(0 - 2) = 2/-2 = - 1
Equation of line g(x)
For point (0, 2)
y- intercept (b) = 2
y = mx + b
g(x) = - 1x + 2 [y = g(x)]
g(x) = - x + 2
Equation of line f(x)
For point (0, 4)
y- intercept (b) = 4
y = mx + b
f(x) = - 1x + 4 [y = g(x)]
f(x) = - x + 4
It is given that:
g(x) = f(x) + k
g(x) - f(x) = k
(-x + 2) - (-x + 4) = k
-x + 2 + x - 4 = k
2 - 4 = k
-2 = k
k = - 2
Answer:
45
Step-by-step explanation:
Answer:
Irrational numbers
Step-by-step explanation:
Any irrational number plus a rational number like (5/8) creates another irrational number.
Answer:
Step-by-step explanation:
1). By applying Pythagoras theorem in the triangle formed by two sides and the diagonal,
Length of the diagonal = 
= 
= 25√2
AC ≈ 35.56 units
2). Since, diagonal of a square is the angle bisector of interior angles of the square,
m∠CAB = 45°
By applying sine rule in ΔABC,
sin(45°) = 
AC = 25√2
AC ≈ 35.56 units
Answer:
The solution is (-4,-1)
Step-by-step explanation:
The solution to the system is where the two graphs intersect.
The lines intersect at x = -4 and y = -1
The solution is (-4,-1)
