Which simplified ratio correctly compares 12 yard to 20 feet? A) 3:5 B)5:3 C)5:9 D) 9:5
2 answers:
Solution:
Given ratio 12 yard to 20 feet,
To simplify the ratio, we first need to find the common multiples of 12 and 20,
to find the common multiples of 12 and 20, we need to factorise 12 and 20.
On factorisation, we get and
.
Common multiples of 12 and 20 are that is 4.
And now simplifying the given ratio, 12 yard to 20 feet , that is
Hence, Option A. 3:5 simplified ratio correctly compares 12 yard to 20 feet.
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Answer:
the parabola can be written as:
f(x) = y = a*x^2 + b*x + c
first step.
find the vertex at:
x = -b/2a
the vertex will be the point (-b/2a, f(-b/2a))
now, if a is positive, then the arms of the parabola go up, if a is negative, the arms of the parabola go down.
The next step is to see if we have real roots by using the Bhaskara's equation:
Now, draw the vertex, after that draw the values of the roots in the x-axis, and now conect the points with the general draw of the parabola.
If you do not have any real roots, you can feed into the parabola some different values of x around the vertex
for example at:
x = (-b/2a) + 1 and x = (-b/2a) - 1
those two values should give the same value of y, and now you can connect the vertex with those two points.
If you want a more exact drawing, you can add more points (like x = (-b/2a) + 3 and x = (-b/2a) - 3) and connect them, as more points you add, the best sketch you will have.