Anna= a
Vickie= v
Luanna= l
a is 3 years older that v
l is 2 years younger than v
Anna's age; 3+v
Luanna's age; v-2
Answer:
(x + 2)² + (y - 1)² = 25
General Formulas and Concepts:
<u>Algebra I</u>
<u>Pre-Calc</u>
Circle Center Formula: (x - h)² + (y - k)² = r²
- <em>(h, k)</em> is center
- <em>r</em> is radius
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>(h, k)</em> = (-2, 1)
<em>r</em> = 5
<u>Step 2: Find Equation</u>
- Substitute in variables [Circle Center Formula]: (x - -2)² + (y - 1)² = 5²
- Simplify: (x + 2)² + (y - 1)² = 25
Topic: Pre-Calculus
Unit: Conics
Book: Pre-Calculus (McGraw Hill)
Answer:
36years
Step-by-step explanation:
Let charity present age be x
Charity daughter present age be y
Charity husband present age be z
If the sum of their ages ten years to come is 117, then;
10+x+10+y+10+z = 117
30+x+y+z = 117
x+y+z = 87 ... 1
If charity is four times as old as her daughter, then;
x = 4y
y = x/4 ... 2
If she is also six years younger than her husband, then;
x = z- 6
z = x+6 .. 3
Substitute 2 and 3 into 1;
x + x/4 + (x+6) = 87
Multiply through by 4
4x + x + 4(x+6) = 4(87)
5x+4x+24 = 348
9x = 348 - 24
9x = 324
x = 324/9
x = 36
hence Charity is 36years old today
Answer:
<em>4.88</em>
Step-by-step explanation: