Answer:
Step-by-step explanation:
first, we find the slope
slope = (y2 - y1) / (x2 - x1)
(8,2)....x1 = 8 and y1 = 2
(7,1)....x2 = 7 and y2 = 1
now we sub
slope = (1 - 2) / (7 - 8) = -1/-1 = 1
y = mx + b
slope(m) = 1
use either of ur points...I will use (8,2)...x = 8 and y = 2
now we sub and find b, the y intercept
2 = 1(8) + b
2 = 8 + b
2 - 8 = b
-6 = b
so ur equation is : y = 1x - 6....or just y = x - 6 <===
Answer:
δL/δt = 634,38 ft/s
Step-by-step explanation:
A right triangle is shaped by ( y = distance between aircraft and ground which is constant and equal to 405 f ) a person who is at ground level 3040 f away from the tower distance x = 3040 f and the line between the aircraft and the person. Then we can use Pythagoras theorem and write
L ( distance between aircraft and person )
L² = x² + y² or L² = x² + (405)²
Taken partial derivatives with respect to t we get:
2*L*δL/δt = 2*x*δx/t + 0
Then L*δL/δt = x*δx/dt
At the moment of the aircraft passing over the tower
x = 3040 ft δx/δt = 640 ft/s and L = √ ( 3040)² + (405)²
So L = √9241600 + 164025 L = √9405625 L ≈3066,9 ft
Then:
δL/δt = 3040*640/ 3066,9 units [ ft * ft/s / ft ] ft/s
δL/δt = 634,38 ft/s
Answer:
Mark got 13 more points than Nick did
Step-by-step explanation:
Mark's score in all was: 487
Nick's score in all was: 474
Answer:
3x + 15 = 3*10 + 15 = 30 + 15 = 45
<u>3x + 15 = 45</u>
Now,
2x + 25 = 2*10 + 25 = 20 + 25 = 45
<u>2x + 25 = 45</u>
Step-by-step explanation:
3x + 15 + 2x + 25 = 90
or, 5x + 40 = 90
or, 5x = 90 - 40
so, 5x = 50
so, x = 50/5 = 10
You should be able to find the answer try using the tiger math app