A quadratic equation has equal roots if and only if the discriminant
is zero.
So, we have to impose
Since p is non-zero, the only possible value for p is 4/9.
jeff wants to buy a phone card for long distance calls. he can buy a 200-minute card for $10.00 or a 300-minute card for $12.00.
2 answers:
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Answer: Last option.
Step-by-step explanation:
For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.
By definition, given a Right triangle, if you draw an altitutde from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.
In this case, you have the Right triangle given in the picture attached.
You can notice that goes from the vertex of right angle (
) to the hypotenuse
. Therefore, it divides the hypotenuse into two segments. These are:
and
Therefore, is the geometric mean of the segments
and
.