The equation of a line is:
y = mx + c
The m is the gradient of the line, and the c is the y-intercept of the line
That means that the y-intercept of [y = -4x + 3] is 3
and the y-intercept of [y = -4x + 4] is 4
So the distance between the two y-intercepts is:
4 - 3 = <u>1</u>
Answer:
2
Step-by-step explanation:
Step 1:
- 21w + 9 + 8w = - 5w - 5
Step 2:
- 13w + 9 = - 5w - 5
Step 3:
- 7w + 9 = - 5
Step 4:
- 7w = - 14
Step 5:
14 = 7w
Answer:
w = 2
Hope This Helps :)
Answer:
slope (3,1) using rise over run y-intercept -1
Step-by-step explanation:
Starting at your y-intercept -1 and going up three and 1 to the right you get to your next point on the graph
Answer:
100.9 yards
Step-by-step explanation:
One circuit of the track is a distance of ...
C = 2πr = 2π(60 yd) = 120π yd.
At Alex's running rate, the distance covered in 20 minutes is ...
(4 yd/s)(20 min)(60 s/min) = 4800 yd
The number of circuits will be ...
(4800 yd)/(120π yd/circuit) = 40/π circuits ≈ 12.7324 circuits
The last of Alex's laps is more than half-completed, so the shortest distance to his starting point is 13 -12.7324 = 0.2676 circuits,
That distance is (0.2676 circuits)×(120π yd/circuit) ≈ 100.88 yd
The shortest distance along the track to Alex's starting point is about 100.9 yards.
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<em>Additional comment</em>
The exact distance is 120(13π-40) yards. The distance will vary according to your approximation for pi. If you use 3.14, this is about 98.4 yards.
