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)
The answer would be: X=26
Answer:
"She invested $2500 in 5% account and $5500 in 8% account"
Step-by-step explanation:
Let the amount invested in 5% account be "x"
So, the amount invested in 8% account would be "8000 - x"
Interest amount is the percentage multiplied by amount invested. So
Interest of 5% account = 5% of x = 0.05x
Interest of 8% account = 8 % of 8000 - x = 0.08(8000 - x)
Total interest is the sum of these 2 expressions that EQUATES to 565 (given). Let's solve for x:
and thus,
"8000 - x" = 8000 - 2500 = 5500
Hence,
She invested $2500 in 5% account and $5500 in 8% account
14. 75 105
105 75
16. 155 25
155
17. 127
18. 55 125 125
19. 115 140 40
Answer:
B. 4.5
Step-by-step explanation:
(6x + 42)° and (18x - 12)° are alternate interior angles. If line l is parallel to line m, therefore,
6x + 42 = 18x - 12
Solve for the value of x. Combine like terms.
6x - 18x = -42 - 12
-12x = -54
Divide both sides by -12
-12x/-12 = -54/-12
x = 4.5
Therefore, x = 4.5 would prove lines l and m are parallel to each other.
