Answer:
(12, 40)
Step-by-step explanation:
The first thing is to assume that we have a point with the following coordinates (x, y).
Now, we can have two different cases since the meaning of the expansion of a point is moving to a new point that is a greater distance from the origin if we are expanding by a value, that is, an integer in the system of coordinates and the other case is that if we are dilating by a fraction that is between 0 <x <1, then the distance from the origin decreases.
Now, the point (x, y) goes through an expansion by a scale factor f (with the origin as the expansion point), then the new coordinate of the point = [f * x, f * y], that scale factor has the value of 3, so if we replace we have:
(3 * 4, 4 * 10) = (12, 40)
The factored form of the quadratic equation x² - 2x - 3 = 0 is (x - 3)(x + 1)
<h3>How to factor quadratic equation?</h3>
The quadratic equation can be factored as follows;
x² - 2x - 3 = 0
Therefore, let's find the numbers we can multiply to get -3 and add to get -2.
x² + x - 3x - 3
x(x + 1) - 3(x + 1)
Therefore,
(x - 3)(x + 1)
Therefore, the factored form of x² - 2x - 3 = 0 is (x - 3)(x + 1)
learn more on quadratic equation here: brainly.com/question/18427257
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Answer:
Step-by-step explanation:
Here we are given two coordinates through which our lines passes through. Now we are going to use the two point form to find the equation of the line.
The two point form is given as
Here we are given two coordinates . Thus replacing them in the formula and simplifying it will give us the equation of the line.
subtracting y and adding 8 on both sides we get
Hence this is our equation of the line passing through (5,3) & (4,1)
3 equivalent ratios or 5/2
10 /4
20/8
30/12
Answer:Big Chungus
Step-by-step explanation:
