Answer:
(1,1) is a solution of the system.
Step-by-step explanation:
Let's solve the system.
y = 2x - 1
5x - 4y = 1
In the first equation, y is already separated as a function of x. So we replace in the second equation;
5x - 4(2x - 1) = 1
5x - 8x + 4 = 1
4 - 1 = 8x - 5x
x = 1
y = 2x - 1 = 2(1) - 1 = 1
(1,1) is a solution of the system.
If the points are collinear, then that means they lie on the same line when connected to each other. In order to prove this, the distances between the points must sum up to the length of the line.
AB + BC = AC
7 + 4 ? 9
11 ≠ 9
Since they do not sum up, therefore, the points are not collinear.
Step-by-step explanation:
recommended is to convert to decimal
1/5 is 0.2
1/2 is 0.5
1/3 is 0.33
Order is 1/5, 1/3, 1/2
A circle exists as a curve sketched out by a point moving in a plane. The circle's perimeter exists the length of the line of the circle that creates the circle. It exists generally named the circumference of the circle.
<h3>What is a circle?</h3>
A circle exists as a curve sketched out by a point moving in a plane so that its distance from a given point exists constant; alternatively, it exists as the shape created by all points in a plane that exists at a set distance from a provided point, the center.
A.) The statement that rejects this characterization of the circle exists that the given point should be at the circle's center.
B.) An illustration of an indefinite term exists in the perimeter of the circle, The circle's perimeter exists the length of the line of the circle that makes the circle. It exists generally named the circumference of the circle.
To learn more about Circle refer to:
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Answer:
(x+2)^2 + (y-4)^2 = 65
Step-by-step explanation:
r^2 = (4-(-4))^2 + (-1-(-2))^2 = 65
center = (-2, 4) so you add 2 to x and subtract 4 from y