Answer:
c
Step-by-step explanation:
area of a circle = πr²
area = A²
A =√ 12π
A = 2 √ 3π
Answer:
y = -2/7x - 22/7
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula:
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-4, -2)
Point (3, -4)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Add:
<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = -2/7x + b
- Substitute: -4 = -2/7(3) + b
- Multiply: -4 = -6/7 + b
- Isolate <em>b</em>: -22/7 = b
- Rewrite: b = -22/7
<u>Step 4: Write linear equation</u>
y = -2/7x - 22/7
Data:
P (Final population) = ?
Po (Initial population) = 81712
r (rate) = 4,1% = 0,041
t (time in years) = 17
Answer:
B) 24759
Answer: The answer is P'(7, 17.5) and Q'(7, 3.5).
Step-by-step explanation: Given that a line segment PQ is dilated with a scale factor of 3.5 where origin is the centre of dilation.
The end points of segment PQ are P(2, 5) and Q(2, 1).
Therefore, after dilation, the coordinates of the end points become
Thus, the coordinates of P' are (7, 17.5) and the co-ordinates of Q' are (7, 3.5).
3y-20+x+13=3x+9
3y-20+x+13+2y=180
3y-7+x=3x+9
3y=2x+16
y=2/3x+16/3
5y+x=187
5(2/3x+16/3)+x=187
10/3x+80/3+x=187
13/3x=481/3
x=37