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:
The angles are 50 , 40
Step-by-step explanation:
Let 'x' be an angle.
So, its complementary angle = 90 - x
Difference of complimentary = 10
x - (90 - x) = 10
x - 90 + x = 10
x + x - 90 = 10
2x - 90 = 10
2x = 10 +90
2x = 100
x = 100/2
x = 50
So, the angles are 50 , 40
When the X value is zero, the Y value is negative two.
Seagull because the owl has 5 5/9 and the sea 8 1/3