9514 1404 393
Answer:
it is application of the multiplication property of equality
Step-by-step explanation:
You can use "cross products" to solve any proportion. What looks like a "cross product" is just application of the multiplication property of equality. That property says the variable value is unchanged if both sides of the equation are multiplied by the same value.
For your fraction, the "cross product" is what you get when you multiply both sides of the equation by 500.
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Note that the next step here is to divide by the x-coefficient, the 5 that was in the left-side denominator.
Please also note that this is exactly the same result you would get by multiplying the original equation by the original denominator of x.
<span>Orthocenter is at (-3,3)
The orthocenter of a triangle is the intersection of the three heights of the triangle (a line passing through a vertex of the triangle that's perpendicular to the opposite side from the vertex. Those 3 lines should intersect at the same point and that point may be either inside or outside of the triangle. So, let's calculate the 3 lines (we could get by with just 2 of them, but the 3rd line acts as a nice cross check to make certain we didn't do any mistakes.)
Slope XY = (3 - 3)/(-3 - 1) = 0/-4 = 0
Ick. XY is a completely horizontal line and it's perpendicular will be a complete vertical line with a slope of infinity. But that's enough to tell us that the orthocenter will have the same x-coordinate value as vertex Z which is -3.
Slope XZ = (3 - 0)/(-3 - (-3)) = 3/0
Another ick. This slope is completely vertical. So the perpendicular will be complete horizontal with a slope of 0 and will have the same y-coordinate value as vertex Y which is 3.
So the orthocenter is at (-3,3).</span>
k = 1.33 or 1 1/3
Formula of Direct variation. Where y is equal to the product of the constant of variation times x.
y = kx
16 = k * 12
k = 16/12
k = 1 4/12 = 1 1/3
Constant of variation is 1 1/3 or 1.33.
The prime factorization of 50 is 2x5x5
I think and hope it is $ 267 because a dozen is 12
