Answer with explanation:
<u>Part A: </u>
One solution.
The number of points of intersection represents the number of solutions. Since the two lines only intersect at one point, there is only one solution.
<u>Part B:</u>
(3, 4)
The point(s) of intersection marks the solution(s) to the lines. Since lines A and B intersect at the point (3, 4), the solution to the equation of their lines is (3, 4), or 
, as coordinates are written as (x, y).
-----------------------------------------------------------
Make y the subject :
-----------------------------------------------------------
y - 3 = 4(x + 8)
y - 3 = 4x + 32 // Apply distributive property
y = 4x + 35 // Add 3 to both sides
-----------------------------------------------------------
Identify Slope :
-----------------------------------------------------------
Slope = 4
-----------------------------------------------------------
Find a point on the line :
-----------------------------------------------------------
When x = 0,
y = 4(0) + 35 // Sub x = 0 into the equation
y = 35 // Combine like terms
Point = (0, 35)
-----------------------------------------------------------
Answers :
(a) Slope = 4
(b) One point on the line is (0, 35)
-----------------------------------------------------------
Answer:
The second group
Step-by-step explanation:
The first group is 4 apples for 3 friends.
= 4/3. They each got 1 & 1/3 of an apple.
The second group is 6 apples for 4 friends.
= 6/4. They each got 1 & 1/2 of an apple.
1 1/3 < 1 1/2, so friends in the second group get a larger portion of apples
Answer:
x=7 is the line parallel to the given line x=8 . Parallel lines are the lines which are always same distance apart and never intersect. The given line is x=8 with intersects the x axis at x=8 and it is parallel to y axis with slope infinite or not defined.
Step-by-step explanation:
To find 1. all you have to do is 165/30 and you get $5.50. To find 2. you have to add 165+45 you get 210. then divide 210/40 and you get 5.25
