Answer:
y - 5 = -1(x + 3)
Step-by-step explanation:
Point slope form
y - y1 = m(x - x1) where m = slope and passing through point (x1 , y1)
In this case if the equation in point-slope form contains the point (–3, 5) and has slope –1 then the equation should be:
y - 5 = -1(x - (-3))
y - 5 = -1(x + 3)
Answer:
see explanation
Step-by-step explanation:
In 13 - 17
Consider the factors of the constant term which sum to give the coefficient of the x- term
13
x² - x - 42 = (x - 7)(x + 6)
15
x² + x - 6 = (x + 3)(x - 2)
17
x² - 27x + 50 = (x - 25)(x - 2)
19
r² - 25 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
r² - 25
= r² - 5² = (r - 5)(r + 5)
For this one, find out how many hour have passed per day with 6 pm Friday being where you start.
6 pm Friday- 6 pm Saturday =24
6 pm Saturday - 6 pm Sunday= 24
6 pm Sunday - 6 am Monday = 12 hours
6 am Monday until 8 am Monday= 2 hours
Now just add the amount of hours together
24+24+12+2= 62 hours
Now convert that to minutes.
There are 60 minutes in 1 hour. You multiply the amount of hours by 60 to get the minutes.
62 hours times 60 minutes in 1 hour
62*60= 3720.
So you will have a total of 3,720 minutes of tape to review.
Answer:
Step-by-step explanation:
The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21. The positive nature of the discriminant tells us that there are two real, unequal roots. Following the quadratic formula, we get:
-3 ± √21
x = -----------------
2
Answer:
1.01 minutes
Step-by-step explanation:
The length of the roll is given to be 304 ft, and Bob's velocity is 5ft/s.
Velocity is defined as the rate of change of displacement over time t:
The function can be expressed to make t the subject to calculate time taken by Bob;
Hence, it takes Bob 1.01 minutes to walk the length of the roll.
