Answer:
x<-5
Step-by-step explanation:
-0.4x>0.8+1.2
-0.4x>2
x<-5
In a proportion there are letters assigned to represent various numbers. a, b, c, and d.
a, b, c, and d are 4 non-zero rational numbers that are terms of proportion.
a/b = c/d or a:b = c:d
a and d are the end terms or known as the extremes.
b and c are the middle terms or known as the means.
With this information, we can gather that the extremes of the following proportion are 3 and 60.
3/15 = 12/60 ; a/b = c/d
a = 3 ; b = 15 ; c = 12 ; d = 60
3 and 60 are the extremes
15 and 12 are the means
Answer:
35x + 15
Step-by-step explanation:
5x(7 + 3)
35x + 15
Surface area
Volume
Surface area
Volume
Surface area
Volume
(I’m pretty sure they’re all correct)
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.
