Answer:
The answer to your question is 12.55 cm
Step-by-step explanation:
Data
Adam Cara
height = 159 cm height = 140 cm
shadow = 105 cm shadow = x
Process
1.- To solve this problem use the Thales' theorem
Cara's shadow / Cara's height = Adam's shadow / Adam's height
- Substitution
x / 140 = 105 / 159
-Solve for x
x = 105 (140) / 159
-Simplification
x = 14700 / 159
x = 92.45 cm
Cara's shadow is 92.45 cm long.
2.- If both shadows are in line, then Cara must walk forward
105 - 92.45 cm
12.55 cm
Answer:
y = -x - 7
Step-by-step explanation:
As we move from the point (3, -4) to the point (5, -6), x increases by 2 and y decreases by 2. Thus, the slope of this line is m = rise / run = -2/2, or -1.
Starting with the general slope-intercept form of the equation of a straight line, we get y = mx + b => y = -1x + b.
Subbing -4 for y and 3 for x, we get
-4 = -1(3) + b, which yields b = -1
Thus, the desired equation is
y = -x - 1
Answer:
2.17 x 10^8
0.253 x 10^-4 if number is 0.000253 or 2.53 x 10^2 if number is 253
Step-by-step explanation: