Ray is 12 miles from home.
Let x be Ray's distance from home. His distance is one leg of a right triangle; 5, Rosa's distance from home, is the other. The hypotenuse, the distance between them, is 1 more than Ray's distance from home, or x+1. Using the Pythagorean theorem,
5²+x²=(x+1)²
25+x²=(x+1)(x+1)
Multiplying the binomials, we have
25+x²=x*x+1*x+1*x+1*1
25+x²=x²+1x+1x+1
25+x²=x²+2x+1
Subtracting x² from both sides,
25 = 2x+1
Subtracting 1 from both sides,
24 = 2x
Divide both sides by 2, and we have
12 = x
Ray is 12 miles from home.
M-7<6
add 7 to each side
M-7 +7 < 6+7
M < 13
this is true for all values of M less than 13
Answer:
Step 3: 40 + 12 + (18 + 27) = 40 + 12 + 18 + 27
Step 4: 97 (its the answer)
Step-by-step explanation:
Step 3: 40 + 12 + (18 + 27) = 40 + 12 + 18 + 27 = 97
Step 4: 97
Answer:
4-6b is the correct way to say it
Step-by-step explanation:
We shall use the formula for distance traveled:
s = ut + (1/2)at^2
where
u = initial velocity
t = time
a = acceleration.
Because
u = 0 (car starts from rest),
t = 10 s (travel tme),
a = 2 m/s^2 (acceleration), m
the di mstance traveled is
s = (1/2)*(2 m/s^2)*(10 s)^2 = (1/2)*2*100 = 100
Answer: 100 m
