Answer:
- The two solutions are:
- The next and every step are below.
Explanation:
1. 
: Given (addition property / add - 3 to both sides)
2. 
: Given (commom factor - 2)
3. 
To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.
Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.
4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:
5. Divide both sides by - 2 to get the next expression:
6. The last step is to extract squere root from both sides of the equality:
Change 15% into a decimal
15% = 15/100 = 0.15
multiply 0.15 and 205,000 together
205000 x 0.15 = <span>30750
$30,750 is your answer
hope this helps</span>
Answer:
m∠SVT = 79*
Step-by-step explanation:
8y - 33 = 5y + 9
8y = 5y + 42
3y = 42
y = 14
_____
5y + 9
5(14) + 9
70 + 9
79
Answer:
a. 4y =12x the constant of variation is 3
Step-by-step explanation:
The equation for direct variation is y=kx
a. 4y =12x
Divide each side by 4
4y/4 = 12x/4
y = 3x
This is direct variation and the constant is 3
Equations b ,c, d all have a constant added which make them something other than a direct variation
I did this is school. Perpendicular is kinda like the opposite of the line so instead of being a positive line you would make the slope negative and make the line negative
Hope I explained this right
