Let P(x,y) be a point on the parabola. The definition of a parabola is the squared distance from P to focus F(2,2) equals the squared distance to the directrix x=8.
squared distance from P(x,y) to focus F(2,2)
(x - 2)² + (y - 2)²
squared distance from P(x,y) to the directrix x=8.
(x-8)²
Those are equal in a parabola,
(x - 2)² + (y - 2)² = (x-8)²
x² - 4x + 4 + y² - 4y + 4 = x² - 16x + 64
y² - 4y - 46 = -12x
That's a sideways parabola,
x = -(y² - 4y - 46)/12
Answer:
35 is a prime number between 30 and 40
Answer:
107
Step-by-step explanation:
Plug in 11 for a, and 8 for b.
a + ab + b
(11) + (11 * 8) + (8)
Remember to follow PEMDAS. First multiply, then combine terms:
11 + (11 * 8) + 8
11 + (88) + 8
99 + 8
107
107 is your answer.
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Answer:
m∠MBT = 28°
Step-by-step explanation:
Since m∠NBM = m∠MBT, the 2 equations are equal to each other.
Step 1: Set up equation
17x - 6 = 5x + 18
Step 2: Solve for <em>x</em>
12x - 6 = 18
12x = 24
x = 2
Step 3: Find m∠MBT
m∠MBT = 5x + 18
m∠MBT = 5(2) + 18
m∠MBT = 10 + 18
m∠MBT = 28°
Total ribbons would be the sum of two numbers.
So, x = 29 + 17 = 46
In short, Your Answer would be: 46 ribbons
Hope this helps!
