By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem
The height, x, of the tree is 70 meters.
Answer:
C. (-1.5, 8.875)
Step-by-step explanation:
on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by
p = (nx1 + mx2/ m+n, ny1+my2/m+n)
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Given point
A (-9, 4) and B (11, 17)
ratio 3:5
m:n = 3:5
m+n = 3+5 = 8
coordinate of point p that partition AB
x = (5*-9 + 3*11) / 5+3 y = (5*4 + 3*17) / 5+3
x = (-45 + 33) / 8 y = (20 + 51) / 8
x = (-12) / 8 y = (71) / 8
x = -3 / 2 = -1.5 y = 8.875
Thus, coordinate of point p is (-1.5, 8.875).
For this case we have the following equation:
V = I * R
Where,
V: voltage
I: current
R: resistance
By clearing R we have:
R = V / I
Substituting the values:
R = (20) / (0.57)
R = 35.09 Ohms
Answer:
The resistance of the light bulb is:
R = 35.09 Ohms
Answer:
A) 1,492
B) 1,908
Step-by-step explanation:
A) The equation set up for this part is 1,542-50=1,492 We know that we're subtracting 50 from 1,542 because it say that the plane starts below sea level.
B) The equation set up for this part is 3,400-1,492=1,908 We know that we're subtracting the answer from part A from 3,400 because the plane will need to climb the difference in order to reach 3,400.
Answer:
C ) exponential : y = 100 * 0.79^x
Step-by-step explanation:
