Answer:
$9.68
Step-by-step explanation:
Divide 58.08 / 6 and you get 9.68, this is 1st grade math (:
First substitute y=5x+7 so that would turn into 5x+7=6x
Then, isolate/solve for x for 5x + 7 = 6x, in this problem x=7
Substitute x=7 into y=5x+7
y=42
x=7, y=42
(7,42)
Answer:
A
Step-by-step explanation:
write it as a ratio
11:6 = 110: x
cross multiply
11x= 660
divide by 11 on both sides
x= 60
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:Simplifying
8x + 6
Reorder the terms:
6 + 8x
Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 4x)
Final result:
2(3 + 4x)
