Charles can drive 345 miles on a full tank of gas. If he has driven 134 miles so far, how many miles can he drive before he runs
2 answers:
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Answer: (-2, 5) and (2, -3)
<u>Step-by-step explanation:</u>
Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:
y - intercept = (0, 1) 2nd point = ( -1, 1).
Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):
vertex = (1, -4) 2nd point (y-intercept) = (0, -3)
<em>see attached</em> - the graphs intersect at two points: (-2, 5) and (2, -3)
Answer:
20. x = 5, y = -2
21. x = 11, y = 12
22. x = 22, y = 11
23. x = 11, y = 10
Step-by-step explanation:
20. Opposite sides in the parallelogram are congruent, so
Solve this system of two equations:
Multiply the first equation by 2 and add two equations:
Substitute it into the first equation:
21. Opposite angles in the parallelogram are congruent, so
Consecutive angles are supplementary, so
Solve this system of two equations:
From the second equation
Substitute it into the first equation:
22. Opposite angles in the parallelogram are congruent, so
Consecutive angles are supplementary, so
Solve this system of two equations:
From the first equation
Substitute it into the second equation:
23. Opposite sides in the parallelogram are congruent, so
Solve this system of two equations:
Multiply the second equation by 2 and subtract it from the first equation:
Substitute it into the first equation: