Step-by-step explanation:
x-8/2 = x-5/5
5(x-8) = 2(x-5)
5x-40 = 2x-10
3x= 30
x = 10
Hello! For this question, you solve using order of operations, which you probably already have remembered as PEMDAS. Anytime a number is raised to the 0 power, that is equivalent to 1. 0.5^0 is 1. 250 * 1 is 250. x = 0 gives us the answer of 250. Now, let's solve for the number by the second power. 0.5² is 0.25. 250 * 0.25 is 62.5. x² gives us 62.5. Now, let's subtract the two numbers together. 250 - 62.5 is 187.5. Because the number is decreasing, the slope is negative, so the answer is -187.5. Your answer is correct.
In an isosceles trapezoid, the two diagonals are congruent.
Therefore SV=TU, or 3x-11=x+13
Solve for x in
3x-11=x+13
subtract x-11 from either side to isolate x,
3x-x=13+11
2x=24
x=12
Check: SV=3(12)-11=25 = (12)+13 = TU, ok.
Answer: x=12
Answer:
Option C is correct.
The equation
represents the function.
Step-by-step explanation:
Using slope intercept form to find the equation of line :
For any two points
and
the equation of line is given by:
......[1] ;where m is the slope given by:

Consider any two points from table :
let (4, 2) and (0, 4) be any two points.
calculate slope:


Now, substitute in equation [1] we have:

Distributive property i.e, 

Add both sides 2 we get;

Simplify:

Since, y= f(x)

therefore, the equation
represents the function.