What is the value of x in the parallelogram if two corners are 60 degrees
1 answer:
You might be interested in
Answer:
(- 5, 0 ), (7, 0 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, - 108 ), thus
y = a(x - 1)² - 108
To find a substitute (0, - 105 ) into the equation
- 105 = a(- 1)² - 108 ( add 108 to both sides )
3 = a
y = 3(x - 1)² - 108 ← equation in vertex form
To find the x- intercepts, let y = 0, that is
3(x - 1)² - 108 = 0 ( add 108 to both sides )
3(x - 1)² = 108 ( divide both sides by 3 )
(x - 1)² = 36 ( take the square root of both sides )
x - 1 = ± = ± 6 ( add 1 to both sides )
x = 1 ± 6, so
x = 1 - 6 = - 5
x = 1 + 6 = 7
x- intercepts are (- 5, 0), (7, 0)
Kala call lasted for 0.36 minutes
<em><u>Solution:</u></em>
Given that Kala purchased a prepaid phone card for $15
Long distance calls cost $12 a minute using this card.
If the remaining credit on her card is $10.68
To find: Number of minutes her call lasted
Let "x" be the number of minutes her call lasted
Cost of 1 minute = $ 12
Total balance = $15
Remaining balance = $ 10.68
So we can frame a equation as:
Total balance = Remaining balance + Cost of 1 minute x number of minutes her call lasted
So her call lasted for 0.36 minutes