(0, -[)
Find the unit rate.
2 answers:
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Let us say distance between Eugenia's home and school is x miles.
Speed of Eugenia when she walked from home to school = 3 mph
Speed of Eugenia when she walked from school to home = 7 mph
Total time taken = 45 minutes or 0.75 hours
We know that the speed distance formula is given by:
Time taken by Eugenia when she walked from home to school = x/3 hours
Time taken by Eugenia when she walked from school to home = x/7 hours
Total time taken = x/3+x/7
So forming an equation we have,
Taking lcd of 7 and 3 as 21,
10x=15.75
Dividing both sides by 10 , we have
x= 1.575
Answer: So we can say that the distance between Eugenia's house and school is 1.575 miles.
Answer:
B. y = 2x - 2
E.
F.
Step-by-step explanation:
The equation of the line can be found using either the point-slope equation or the slope-intercept equation.
✔️Equation of the line in point-slope using the slope and the coordinates of the point (4, 6):
Slope = m = change in y/change in x
Using (4, 6) and (-1, -4),
m = (-4 - 6)/(-1 - 4)
m = -10/-5
m = 2
Substitute m = 2, and (a, b) = (4, 6) into the point-slope equation form
Thus:
✔️Equation of the line in point-slope using the slope and the coordinates of the point (-1, -4):
Slope = m = 2
Substitute m = 2, and (a, b) = (-1, -4) into the point-slope equation form
Thus:
✔️Equation of the line in slope-intercept form, y = mx + b
Where,
m = slope = 2
b = y-intercept = -2 (the point where the line intercepts the y-axis)
Thus, substitute m = 2 and b = -2 into y = mx + b
y = 2x + (-2)
y = 2x - 2