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.
Answer:
x=28
Step-by-step explanation:
Sum of all the angles in the triangle add up to equal 180
90 + x + 6 + 2x = 180
combine like terns
96 + 3x = 180
subtract 96 from each side
180-96=84
96-96 cancels out
3x=84
divide each side by 3
84/3=28
3/3 cancels out
x=28
<em>The1AndOnlyMarkus</em>
Answer:
x = 7
Step-by-step explanation:
123 = 17x + 4
123 - 4 = 17x
119 = 17x
119 / 17 = x
7 = x
Answer:

Step-by-step explanation:

Distribute 2 through the parentheses


Hope I helped!
Best regards! :D
Answer:
Delta Ft = 70*3 - 42*7 = 168 #$