Answer:
y-intercept is (0,30); x-intercept is (52.5,0).
Step-by-step explanation:
Note that as x increases by 7 from -35 to -28, y decreases by 4 from 18 to 14. Thus, the slope of this line is
m = rise / run = -4/7.
Let's find the equation of the line. Start with the slope-intercept form:
y = mx + b. Use the slope m = -4/7 and the point (-28, 14) to find b:
14 = -(4/7)(28) + b, or
14 = -16 + b. Then b = 30, and the equation of the line in slope-intercept form is y = (-4/7)x + 30. The y-intercept is (0, 30).
Find the x-intercept by setting y=0 and solving the resulting equation for x:
y = (-4/7)x + 30 becomes (4/7)x = 30, and x = (7/4)(30) = 214, or 52.5.
The x-intercept is thus (52.5, 0).
t=45min
d=4km
45min/60min = 0.75 hours
v=d/t
v=4km/0.75hours
v=5.33km/hour. So the answer is B. 45 minutes.
Answer:
(1, 3)
Step-by-step explanation:
The solution to any system is where the two lines meet. It would be no solution if the lines were parallel. An ordered pair is written out in the format (x, y).
Use the Sine Rule:-
b / sin B = c / sin C
15 / si n B = 9 / sin 29
sin B = 15* sin 29 / 9 = 0.8080
B = 53.90 degrees
