Find the possible values for a if the points with the given coordinates are indicated distance apart.

question 31. (-9, -2), (a, 5); d=7

Step-by-step explanation:

The distance between two points can be calculated with the formula:

Knowing that the poins are (-9, -2) and (a, 5),  and the distance between these two points is 7, you can substitute values into the formula and solve for "a":

Square both sides of the equation:

Remember that the Square of a binomial is: .

When a quadratic is the square of a binomial, then the roots are equal.  This is called "Double root".

Therefore:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

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step-by-step explanation: