Graph for Mhashimi21. Sorry I don't have graph sheet, hence had to draw it myself. Pls adjust
1 answer:
The linear equation of the points is y = 2x + 3
<h3>How to determine the equation?</h3>The points are given as:
(-2, -1), (-1, 1), (0,3), (1,5), (2,7), (3,9)
From the above points, we can see that:
As x increases by 1, the y value increases by 2
This means that the points form a linear equation, and the slope (m) is calculated using:
m = Δy/Δx
This gives
m = 2/1
m = 1
The y-intercept (c) is when x = 0.
From the points, we have:
(x,y) = (0,3)
This means that
c = 3
A linear equation is represented as;
y = mx + c
Substitute the known values
y = 2x + 3
Hence, the linear equation of the points is y = 2x + 3
See attachment for graphs
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Part (b)
We use the result of part (a) and plug in (x,y) = (0,0). This is directly from the initial condition y(0) = 0.
-----------------
This means,
is the solution with the initial condition y(0) = 0.
Answer:
(24, 32, 40) is a Pythagorean triplet.
Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.
Step-by-step explanation:
We are given the following in the question:
Pythagorean triplet: (3,4,5)
New Pythagorean triplet obtained = (24, 32, 40)
Pythagoras theorem:
For a right angles triangle the sum of square of sides of triangle is equal to the square of hypotenuse of triangle.
Verification:
Yes, Tessa is correct.
(24, 32, 40) is a Pythagorean triplet.
Pythagorean triple be created using multiplies of a known Pythagorean triple
Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.