Classify the system and identify the number of solutions. x − 3y − 8z = −10
2x + 5y + 6z = 13
3x + 2y − 2z = 3

consistent, independent; one
consistent; dependent; infinite
inconsistent; none
consistent, dependent; none

c

c

c

c

c

c

c

cc

c

step-by-step explanation:

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

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.

yes

step-by-step explanation:

they have to be opposite and reciprocal of eachother.