F(x)=x-5
g(x)=x^2
Now adding f(x) and g(x)
x-5+x^2-1
x^2+x-6
x^2+(3-2)x-6
x^2+3x-2x-6
x(x+3)-2(x+3)
(x-2)(x+3) answer
Answer: x ≈ 18 ft
Step-by-step explanation:
We will use our trig knowledge to solve this.
The man is standing 10 ft away, but we also need to add the 5 ft shadow as well as that is a point on our triangle.
We can set up a simple trig equation of: tan(50) = x/15
x being the height of the lamppost.
Now we solve.
tan(50) = 1.1918
1.1918 *15 = x
x = 17.876
Now round to the nearest foot.
x ≈ 18 ft
Answer:
y = - 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (- 4, 15)
m =
=
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, - 9), then
- 9 = - 16 + c ⇒ c = - 9 + 16 = 7
y = - 2x + 7 ← equation of line
The number is 1/6. 15 minus 3 = 12. 12 times 1/6 is 2