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Step-by-step explanation:

(-2,2) lies above the vertex, so the parabola opens upwards.

Vertex-form equation for an up-opening parabola with vertex (-5,-1):

y = a(x+5)² - 1, a>0

Plug in (-2,2) and solve for a:

2 = a(-2+5)² - 1

a = ⅓

Equation of parabola:

y = ⅓(x+5)² - 1

x=6 and x=3

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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