Find the indicated length. find LM
1 answer:
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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.
Answer:
No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle ⇒ 3rd answer
Step-by-step explanation:
From the graph of the circle
∵ The center of the circle F is at the origin
∴ F is (0 , 0)
∵ The circle passes through point (7 , 0)
- The length of the radius of the circle is the distance between
the center of the circle and a point on the circle
∴ r is the distance between points (0 , 0) and (7 , 0)
∴
∴ The length of the radius of the circle is 7 units
Let us find the distance between point (7 , -7) and the origin (0 , 0)
- If the distance is equal to the radius of the circle, then the point is on the circle
- If the distance is greater than the radius, then the point is outside the circle
- If the distance is less than the radius, then the point is inside the circle
∵ The distance =
∵ r = 7
∵ > 7
∴ The distance is greater than the radius of the circle
∴ Point (7 , -7) lies outside the circle
The correct answer is:
No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle
<em>Your answer is not correct, the correct answer is the 3rd answer</em>