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Mathematics

1 answer:

Lena [83]3 years ago

5 0

9514 1404 393

Answer:

square with side length √17 units, so area 17 square units.

Step-by-step explanation:

Each side has a slope with a rise of 1 and a run of 4, or a rise of -4 and a run of 1. The ratios of these numbers are opposite reciprocals, so we know the sides are perpendicular. The sum of squares of these numbers is 17, so we know the sides are √17 and all are the same length. (The Pythagorean theorem tells us this.)

A quadrilateral with equal-length perpendicular sides is a square. This square has side length √17 units and area (√17)² = 17 square units.

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The function f(x) = 4x + 5 has domain 0sxs 50. What is its range?<br> The range of the function is

MrMuchimi

9514 1404 393

Answer:

range: 5 ≤ f(x) ≤ 205

Step-by-step explanation:

You can put the extreme values of x in this linear function to see its range:

f(0) = 4·0 +5 = 5

f(50) = 4·50 +5 = 205

The range is 5 ≤ f(x) ≤ 205.