If they are proportional, then y/x should always be the same.
So 9/2= 4.5
We need to find the y value at x=3 to make y/x equal 4.5
4.5 = y/3
y = 4.5*3 = 13.5
Your answer would be option B. 2y² - y - 6 = 0. This is because if you were to substitute x = y² - 1 into the equation 2x - y = 4, you would get 2(y² - 1) - y = 4, which expands into 2y² - 2 - y = 4, and then simplifies to 2y² - y - 6 = 0.
I hope this helps!
Answer:

Step-by-step explanation:
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<u>Distance formula</u>

Let P(x, y) = any point on the locus
Let A = (0, 2)
Let B = (-2, 3)
If a point moves such that its distance from (0, 2) is one third distance from (-2, 3):

Therefore, using the distance formula:

Square both sides:
![\implies x^2+(y-2)^2=\dfrac{1}{9}[(x+2)^2+(y-3)^2]](https://tex.z-dn.net/?f=%5Cimplies%20x%5E2%2B%28y-2%29%5E2%3D%5Cdfrac%7B1%7D%7B9%7D%5B%28x%2B2%29%5E2%2B%28y-3%29%5E2%5D)

Multiply both sides by 9:



Answer:
Hi! The answer to your questions is 3 Roots
Step-by-step explanation:
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Hope this helps!!
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The perimeter will also be scaled down by half if the original triangle if it were scaled down by half.
<h3>What is the perimeter of a triangle?</h3>
The total length of a triangle's boundary is referred to as its perimeter. It is the total of the triangle's three sides. A triangle's perimeter will be equal to a+b+c if its three sides are a, b, and c.
The sides of the original triangle are:
x+3, 2x+4, 3x-1
The perimeter of the triangle will be

If it were scaled down by half then new sides will be

So, the perimeter of the new triangle will be

This is half of the original triangle's perimeter. Therefore, the perimeter of the new triangle is half of the perimeter of the original triangle.
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