How many solutions does this system of equations have? x-4y= -20 x-4y = -8

Mathematics

1 answer:

Sliva [168]2 years ago

6 0

Answer:

Infinitely many

Step-by-step explanation:

Same slope, DIfferent Y-intercept

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Line AB lies in the same plane as circle p, which has a radius of 6 mm. At how many points can AB intersect circle p if AP = 7 m

algol13

I think the answer is B? They didn't say whether point P is in the centre of the circle, so the answer could also actually be D. But assuming that P is the centre point of the circle, the answer should be B.

AP (7mm) > Radius of circle p (6mm)
meaning that the line should extend out of the circle from the centre of it and thus produce one intersection.

As for the rest of the line, BP,
BP (3mm) < Radius of circle p (6mm)
meaning that if the distance of point P to point B is shorter than the distance of point p from the line of the circle (this distance being the radius), it should not make another intersection.

Therefore, there is only 1 intersection and the answer should be B (if point P is the middle of circle p)

4 0

3 years ago

Read 2 more answers

If x= -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the eq

bulgar [2K]

Answer:

C) The discriminant is 0.

Step-by-step explanation:

Since the graph of the quadratic equation has only one x-intercept, we can conclude that the quadratic has only one real root.

If a quadratic equation has only one real root, then the discriminant is 0

8 0

3 years ago