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.
Answer:
$16.80
Step-by-step explanation:
30% of 24 and the answer is subtracted from $24
Answer:
according to my calculations (LOLLLLLLL) what you got is correct??? email ur teacher because i don't see anything wrong with your answer
Step-by-step explanation:
Answer: function 1
Rate of change of function 1:
Following the format of y=mx+c, the rate of change should be m, so, the rate of change for function 1 = 4
To find the gradient (rate of change):
The two points the line passes through are (x1, y1) and (x2, y2), which in this case is (1, 6) and (3, 10)
(Doesn't matter which is which but you need to make sure that once you decide which is which, you stick to it)
To calculate the gradient, you substitute these values following (y1 - y2)/(x1 - x2)
Gradient of function 2 = (10 - 6)/(3 - 1)
= 2
Therefore, since 4 > 2, rate of change of function 1 > rate of change of function 2.
