The relationship between two numbers is described below, where x represents the first number and y represents the second number. The square of the first number is equal to the sum of the second number and 16. The difference of 4 times the second number and 1 is equal to the first number multiplied by 7. Select the equations that form the system that models this situation. Then, select the solution(s) of the system. Equations Solutions y2 + 16 = x (2x)2 = y + 16 (1,15) (5,9) x2 = y + 16 7y - 1 = 4x (2,-12) (8,48) 1 - 4y = 7x 4y - 1 = 7x (4,-7) (9,3)

Acar travels at an average speed of 52 miles per hour. how long does it take to travel 299 miles

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.

Amoving truck rental costs a flat fee of $75 and $2 per mile driven. if you drive a moving truck for 10 miles, how much is the rental for the moving truck?