Answer:
(1, 5)
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the two lines. From inspection of the graph, the point of intersection is at (1, 5).
<u>Proof</u>
The solution to a system of equations is the point at which the two lines meet.
⇒ g(x) = f(x)
⇒ 3x + 2 = |x - 4| + 2
⇒ 3x = |x - 4|
⇒ 3x = x - 4 and 3x = -(x - 4)
⇒ 3x = x - 4
⇒ 2x = -4
⇒ x = -2
Inputting x = -2 into the 2 equations:
⇒ g(-2) = 3 · -2 + 2 = -4
⇒ f(-2) = |-2 - 4| + 2 = 8
Therefore, as the y-values are different, x = -2 is NOT a solution
⇒ 3x = -(x - 4)
⇒ 3x = 4 - x
⇒ 4x = 4
⇒ x = 1
Inputting x = 1 into the 2 equations:
⇒ g(1) = 3 · 1 + 2 = 5
⇒ f(1) = |1 - 4| + 2 = 5
Therefore, as the y-values are the same, x = 1 IS a solution
and the solution is (1, 5)
10/4, 4:10 and, 10 to 4.
If that helps make sure to 5 star and brainliest! <3
-Procklownyt
(16 - Sqrt(11))/(-2)
= -8 +Sqrt(11)/2
Answer:
it can not go any more
Step-by-step explanation:
7/45 is the simplified terms
Answer:
Circle circumference = radius * 2 * PI
Arc Length = radius * 2 * PI * Central Angle / 360 degrees
Arc Length = 7 * 2 * PI * (1/4)
= 3.5 * PI
= 10.9955742876
Arc Length = 10.996 (rounded)
Step-by-step explanation:
