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.
Perimeter is the sum of all sides in the figure. Here, all six sides are equal in length so it would be:
p = 6 * side
p = 6 * 3.9
p = 23.4 cm
In short, Your Answer would be: 23.4 cm
Hope this helps!
Answer:
25 students.
Step-by-step explanation:
A line plot is a simple graph that shows relationship among the values in a data using a number line.
From the line plot, each dot represents a student. While the number on the line shows the number of blocks walk each day by each student.
It can be deduced from the line plot that;
Only 1 student walks through 7 blocks, 2 walk through 5 blocks, 8 walk 4 blocks, 5 walk 3 blocks, 5 walk 2 blocks and 4 walk through 1 block to school each day.
So that;
1 + 2 + 8 + 5 + 5 + 4 = 25
Therefore, the number of students who took part in the survey is 25.
Answer: Depends on the function but to figure this out you look for the growth factor in the equation is greater than 1
