Lucas equation for his location is x(t) = 13t.
Alfonso's equation is x(t) = 238 - 21t
If you equate these, you get:
13t = 238 - 21t =>
34t = 238
t = 7
So after seven hours they meet.
A*a + b*b = c*c
9*9 + 12*12 = c*c
81 + 144 = c*c
225 = c*c
✓225 = 15
c = 15
The hypotenuse is 15.
Answer:

Step-by-step explanation:
The functions are;

and

We want to find

First we find g(-4) to get:



Now

This implies that,



Answer:
-5/13
Step-by-step explanation:
sin theta = opp / hyp
sin theta = -12 /13
we can find the adj side by using the pythagorean theorem
adj^2 + opp ^2 = hyp^2
adj^2 +(-12)^2 = 13^2
adj^2 +144 =169
adj^2 = 169-144
adj^2 = 25
Taking the square root of each side
adj = ±5
We know that it has to be negative since it is in the third quad
adj = -5
cos theta = adj / hyp
cos theta = -5/13
Answer:
x= 17/8
Step-by-step explanation:
6x− 5/2=2x+6
Step 1: Simplify both sides of the equation.
6x+−5/2=2x+6
Step 2: Subtract 2x from both sides.
6x+−5/2−2x=2x+6−2x
4x+−5/2=6
Step 3: Add 5/2 to both sides.
4x+−5/2+5/2=6+5/2
4x=17/2
Step 4: Divide both sides by 4.
4x/4=17/2/4
x=17/8