Step 1: Assign variable for the unknown that you need to find.

Step 2: List the given details
Distance between you and your friend is 12 miles. It means the total distance traveled by you by walk and your friend using bicycle when both travel towards each other to meet in 't' hours
Equation 1:

Your Walking rate and your friends Cycling rate is given below:

Step 3: Set up an equation using the relationship between distance, time and rate.


Substituting the above in equation 1

Distance traveled by you by walking from home and distance travelled by your friend in cycle in 0.8 hours is given below:

Given:
The graph of a function.
To find:
The function.
Solution:
From the given graph, it is clear that the graph intersect the x-axis at x=-4, -2, 1. It means -4, -2 and 1 are zeros of the given function graph.
If c is a zero of a function f(x), then (x-c) is a factor of f(x).
Using the above definition, we conclude that (x+4), (x+2) and (x-1) are the factors of given function. So,


Therefore, the correct option is A.
Answer and explanation:
Probability = number of favorable outcomes/ total number of outcomes
Since all glasses labelled C, D, and P are all same Cola
Probability that C is ranked first = 1/3
Probability that D is ranked last = 1/3
Answer:
Options (2), (4) and (5)
Step-by-step explanation:
Option (1).
Planes S contains points B and F.
False.
(Point B lies on plane S and point F lies on plane R)
Option (2).
The line containing points A and B lie on the plane T.
True.
(points A and B lie on plane T)
Option (3).
Line v intersects lines x and y at the same plane.
False.
Option (4).
Line z intersects plane S at point C.
True.
Option (5).
Planes R and T intersect at line y.
True.
Answer:
(-4,5)
*View attached graph*
Step-by-step explanation:
y = -2x - 3
4y + x = 16
4y + x = 16
4(-2x - 3) + x = 16
-8x - 12 + x = 16
-7x - 12 = 16
+12 + 12
-7x = 28
/-7 /-7
x = -4
4y + x = 16
4y + (-4) = 16
4y - 4 = 16
+ 4 + 4
4y = 20
/4 /4
y = 5
(x,y) -> (-4,5)
Hope this helps!