Answer:
7
Step-by-step explanation:
24^2+b^2=25^2
576+b^2=625
<u>-576</u> <u>-576</u>
b^2=49
√b=√49
b=7
The answer to the question
So we need to find the two lines...y=mx+b where m is the slope and b is the y-intercept.
m=(dy/dx)=(7-6)/(3-1)=1/2 so
y=x/2+b, now I'll use (1,6) to solve for b
6=1/2+b, b=5 1/2=11/2 so
y1=(x+11)/2
now the other line...
m=(8-6)/(5-3)=2/2=1
y2=x+b, using point (3,6) we solve for b
6=3+b, b=3 so
y2=x+3
Since this is just two lines they will only intersect at a single point and when they do, y=y so we can say:
x+3=(x+11)/2
2x+6=x+11
x+6=11
x=5, now use either line to solve for the corresponding y value...
y2=x+3 becomes y=5+3=8 so the solution to this system is the point:
(5,8)
Answer:

Step-by-step explanation:
We are given with Second-order derivative of function f(x).

We need to find Third-order derivative of the function f(x).

We know that,
f'''(x) = (f''(x))'
So,







Therefore, 
Answer: 150
Step-by-step explanation:
Let x be the unknown number
12% of x= 18
that is; 12/100 * x = 18
12x/100 = 18
cross multiply
12x = 18 * 100
12x = 1800
divide both sides by 12
x = 1800/12
x = 150