Answer:
18.6
Step-by-step explanation:
X + 14 = 12
x + 14 - 14 = 12 - 14
x = 12 - 14
Options B and C are related to the given equation.
Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.
A piece-wise function is a function that has <u>multiple definitions</u>, depending on the value of the input.
He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:
For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:
For the final 20 minutes, he descends 800 meters, at a linear rate, thus:
Using these definitions, the graph is sketched at the end of this answer.
A similar problem is given at brainly.com/question/13205719
(12.65) is your total answer because 20/100 x63.25 gives you 12.65
1) gradient of line = Δ y ÷ Δ x
= (5 -2) ÷ (3 - (-6))
= ¹/₃
using the point-slope form (y-y₁) = m(x-x₁)
using (3,5)
(y - 5) = ¹/₃ (x -3)
y - 5 = ¹/₃x - 1
⇒ <span> y = ¹/₃ x + 4 [OPTION D]
</span>2) y = 2x + 5 .... (1)
<span> </span>y = ¹/₂ x + 6 .... (2)
by substituting y in (1) for y in (2)
2x + 5 = ¹/₂ x + 6
³/₂ x = 1
x = ²/₃
by substituting found x (2)
y = ¹/₂ (²/₃) + 6
y = ¹⁹/₃
∴ common point is (²/₃ , ¹⁹/₃) thus answer is FALSE [OPTION B]
3) Yes [OPTION A]
This is because the both have a gradient of 5 and if they have the same gradient then that means that the two lines are parallel to each other.
4) No [OPTION B]
Two lines are perpendicular if their gradients multiply to give - 1 and as such one is the negative reciprocal of the other. Since both gradients are ¹/₂ then they are actually parallel and not perpendicular.
