Answer:
A. (0,445)
D.(118,209)
E.(172,101)
Step-by-step explanation:
The equation that we have in this problem is:

where
d is the number of dimes
n is the number of nickels
$22.25 is the total amount of money collected by Diego in the jar.
In order to find which pairs of values can be solutions to the equation, we just need to substitute each pair (d,n) into the left term on the equation, and check if the result is 22.25. Let's do it:
A. (0,445)
--> YES
B. (0.50,435)
--> NO
C. (233,21)
--> NO
D.(118,209)
--> YES
E.(172,101)
--> YES
So the correct pairs are:
A. (0,445)
D.(118,209)
E.(172,101)
Option A:

Solution:
The image of the triangle is attached below.
Given data:

Using trigonometric ratio formulas,


So, MN = 19 and LM = 20
Using Pythagoras theorem,
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.



Subtract 361 from both sides,
39 = LN²
Taking square root on both sides,





Hence option A is the correct answer.
The inverse function is f(x) = 
You can find the inverse of any function by switching the f(x) value and the x value. Then solve for the new f(x) value. The result will be your inverse function. Below is the step-by-step process for solving this one.
f(x) = 2x + 1 ---> Switch the f(x) and x values
x = 2f(x) + 1 ---> Subtract 1 from both sides
x - 1 = 2f(x) ----> Divide each side by 2.
= f(x) ---> Switch the order so that it looks like a function.
f(x) = 
And that would be your inverse function.
Answer:
9=x
Step-by-step explanation:
80º=(8x+8)º
80=8x+8
Subtract 8 from both sides of the equation.
72=8x
Divide 8 from both sides of the equation.
9=x
Hope this helps :)
Answer:
y=x +3
Step-by-step explanation:
this is the equation because it shows the actual relationship between x and y