Answer:
S = 50w + 75
Step-by-step explanation:
After each week, Mike gains $50.
Letting w = 0 gives us the amount he started with. In this case, that would be $75.
Therefore, the equation is S = 50w + 75.
6:14 simplified is 3:7. Hope it helps!
Answer:
Congruent
Step-by-step explanation:
There are 2 angles and a side that are congruent in both triangles. Therefore, they are congruent through AAS.
Answer:
1.00304 * 10^10
Step-by-step explanation:
The first one dark blue I think
Answer:
C, E
Step-by-step explanation:
Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.
The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...
x² +y² -4x -6y +8 = 0
Subtracting 8 puts us in better position to complete the squares.
x² +y² -4x -6y = -8
Now, we can add the squares of half the coefficients of the linear terms.
(x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C
And we can simplify this to the standard form equation:
(x -2)² +(y -3)² = 5 . . . . . matches E