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.
Options aren't avaible
Answer:
(1 ÷ 1/6) * 6
36 pieces of pizza
Step-by-step explanation:
Given that :
Number of pizzas ordered = 6
Divisions per pizza = 1/6 ;
Hence, 1 full pizza is divided into 1 ÷ 1/6 = 1 * 6/1 = 6 pieces
6 * 1/6(1)
The total pieces of pizzas equals :
6 pieces per pizza * number of pizzas
6 * 6
= 36 pieces of pizza
Answer:
We are given the initial price of a car and we are also told that the car sold for a 15% profit which means that the price that the car was sold for is 15% more than it's initial price. This is just a simple multiplication problem which we multiply the initial price by the total percentage plus 0.15
Therefore, our final answer is that the selling price was $5980
<u><em>Hope this helps! </em></u>
Answer:
(1.6, 7.02)
Step-by-step explanation:
5 more brainliest for expert : )
Answer:
I think it is c 266.3 cubic centimeters
Step-by-step explanation:
Hope this helps
