4x - 12
You can get this by switch the f(x) and the x and then solving for the new f(x)
Answer:
Step-by-step explanation:
♡ Good Lessons ♡
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:
The formula for the volume of a cone is 1/3 Bh. This means 1/3 the Area of the base times the height. You can calculate the area by multiply length and width. Area is two-dimensional. Multiplying height by it adds another dimension. When writing area, we say units squared. When writing volume, we say units cubed, because it is three dimensional.
Step-by-step explanation:
Answer:
Six would be your answer
Step-by-step explanation:
2y-9= y-2
-y -Y
y-9=-2
y=-2+9
y=6
