<span>This is a right triangle problem. c^2 = a^2 + b^2
Let b = 7 mi (Rosa's distance from home)
Let a = the east leg (Juan's distance from home
(a+1) = c (hypotenuse, distance between them)
(a+1)^2 = a^2 + 7^2
FOIL (a+1)(a+1)
a^2 + 2a + 1 = a^2 + 49
Combine like terms
a^2 - a^2 + 2a = 49 - 1
2a = 48
a =
<span>a = 24 mi, Juan's distance from home
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Answer:
125
Step-by-step explanation:
it is the multiflication of 5 by itself 3 times (5×5×5=125)
Answer: x=8
Step-by-step explanation:
Distribute 5(x) and 5(-2)
-12 + 6x = 6 + 5x + (-10) OR 5x - 10
Flip if you'd like
6x - 12 = 6 + 5x - 10
Combine like terms
6x−12=(5x)+(6+−10)
6x - 12 = 5x - 4
Subtract 5x from both 6 and 5
6x - 5x = 5x - 5x
5x cancels out, so you're left with x, 12, and -4
x - 12 = -4
Add 12 to 12 and -4
12 + 12 = -4 + 12
12 cancels out
-4 + 12 = 8
x = 8
Answer:
the length of the whole segment is D. 3x + 7
