Answer:
x = - 7, x = - 2
Step-by-step explanation:
Given
x² + 9x + 14 = 0
Consider the factors of the constant term (+ 14) which sum to give the coefficient of the x- term (+ 9)
The factors are + 7 and + 2, since
7 × 2 = 14 and 7 + 2 = 9, thus
(x + 7)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x + 2 = 0 ⇒ x = - 2
I’m pretty sure that it’s obtuse
Answer:
n = - 4, n = 10
Step-by-step explanation:
Since the point (6, n) lies on the circle then the coordinates of the point make the equation true.
Substitute x = 6 and y = n into the equation
(6 - 1)² + (n - 3)² = 74, that is, expanding using FOIL
5² + n² - 6n + 9 = 74 ← simplifying
34 + n² - 6n = 74 ( subtract 74 from both sides and rearrange )
n² - 6n - 40 = 0 ← in standard form
(n - 10)(n + 4) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 10 = 0 ⇒ n = 10
n + 4 = 0 ⇒ n = - 4
The values of n are - 4 and 10
Answer:
40 miles per hour
Step-by-step explanation:
Change 300 minutes to hours. There are 60 minutes to hours
300 minutes * 1 hour/ 60 minutes = 5 hours
Now take the miles and divide by hours
200 miles / 5 hours = 40 miles per hour
Answer:
-1
Step-by-step explanation:
There are things called domain and range.
Domain is all the x values and range is all the y values.
Since in your picture the parabola only seems to be touching -1, that is your domain.
