Answer:
<h2>Slope = 2</h2>
<u>Step-by-step explanation:</u>
co-ordinates = (2,2) and (-1,-4)
Slope = (y² - y¹) / (x² - x¹)
= (-4 - 2) / (-1 - 2)
= -6 / -3
= 6/3
= 2
You can graph the answer on cymath.com
Answer:
t ∈ {1, 3}
Step-by-step explanation:
You want to find t such that ...
h = 27
27 = -8t^2 +32t +3 . . . . . . substitute the expression for h
24 = -8t^2 +32t . . . . . . . . . subtract 3
-3 = t^2 -4t . . . . . . . . . . . . . divide by -8
1 = t^2 -4t +4 = (t -2)^2 . . . . add 4 to complete the square
±√1 = t -2 . . . . . . . . . . . . . . take the square root
t = 2 ± 1 . . . . . . . . . . . . . . . . add 2
t = 1 or 3
The object is 27 ft off the ground at t = 1 and again at t = 3.
Answer:
(x+1)(x+2)
Step-by-step explanation:
x^2 + 3x + 2
find what multiples to 2 and adds to 3
Factors of 2 are 1 and 2, 2 + 1 = 3.
so the binomial would be (x+1)(x+2)
and then you would need to do FOIL to check
First: x * x = x^2
Outer: x * 2 = 2x
Inner: x * 1 = x
Last: 1 * 2 = 2
Then simplify: x^2 + 2x + x + 2
x^2 + 3x + 2